Chebyshev1Basis1d.h

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// -*- LSST-C++ -*-
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#ifndef LSST_AFW_MATH_POLYNOMIALS_Chebyshev1Basis1d_h_INCLUDED
#define LSST_AFW_MATH_POLYNOMIALS_Chebyshev1Basis1d_h_INCLUDED

#include "lsst/geom/polynomials/RecurrenceBasis1d.h"
#include "lsst/geom/polynomials/ScaledBasis1d.h"
#include "lsst/geom/polynomials/Scaling1d.h"

namespace lsst { namespace geom { namespace polynomials {

class Chebyshev1Recurrence {
public:

    static double getB0(double x) { return 1; }

    static double getB1(double x) { return x; }

    static double next(double x, std::size_t n, double current, double previous) { return 2*x*current - previous; }

};

using Chebyshev1Basis1d = RecurrenceBasis1d<Chebyshev1Recurrence>;

using ScaledChebyshev1Basis1d = ScaledBasis1d<Chebyshev1Basis1d>;

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

#endif // !LSST_AFW_MATH_POLYNOMIALS_Chebyshev1Basis1d_h_INCLUDED