polynomialUtils.h

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// -*- LSST-C++ -*-

/*
 * LSST Data Management System
 * Copyright 2016 LSST/AURA
 *
 * This product includes software developed by the
 * LSST Project (http://www.lsst.org/).
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the LSST License Statement and
 * the GNU General Public License along with this program.  If not,
 * see <http://www.lsstcorp.org/LegalNotices/>.
 */

#ifndef LSST_MEAS_ASTROM_DETAIL_polynomialUtils_h_INCLUDED
#define LSST_MEAS_ASTROM_DETAIL_polynomialUtils_h_INCLUDED

#include "Eigen/Core"

namespace lsst {
namespace meas {
namespace astrom {
namespace detail {

inline int computePackedOffset(int order) { return (order * (order + 1)) / 2; }

inline int computePackedSize(int order) { return computePackedOffset(order + 1); }

void computePowers(Eigen::VectorXd& r, double x);

Eigen::VectorXd computePowers(double x, int n);

class BinomialMatrix {
public:
    explicit BinomialMatrix(int const nMax) { extend(nMax); }

    double operator()(int n, int k) const { return getMatrix()(n, k); }

private:
    static void extend(int const n);

    static Eigen::MatrixXd& getMatrix();
};

}  // namespace detail
}  // namespace astrom
}  // namespace meas
}  // namespace lsst

#endif  // !LSST_MEAS_ASTROM_DETAIL_polynomialUtils_h_INCLUDED