// Copyright (c) 2020 Marcus Valtonen Örnhag
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.

#define _USE_MATH_DEFINES
#include <cmath>
#include "normalize2dpts.hpp"

namespace HomLib {
    double normalize2dpts(const Eigen::MatrixXd &pts) {

        double scale = M_SQRT2 / pts.colwise().norm().mean();
        return scale;
    }
    double normalize2dpts(const std::vector<Eigen::Vector2d> &pts) {
        double scale = 0.0;
        for (size_t i = 0; i < pts.size(); i++) {
            scale += pts[i].norm();
        }
        scale = scale / pts.size();
        scale = M_SQRT2 / scale;
        return scale;
    }
}
