NURBS.h

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/*******************************************************************************
 * Copyright (C) 2017-2023 Theodore Chang
 *
 * 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 GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 ******************************************************************************/
#ifndef NURBS_H
#define NURBS_H
 
#include "BSpline.h"
 
class NURBSBase {
protected:
    mat binomial_mat;
 
    void initialize_binomial(sword) const;
};
 
class NURBS : public BSpline, public NURBSBase {
public:
    using BSpline::BSpline;
 
    [[nodiscard]] vec evaluate_point(double, const field<vec>&) const override;
    [[nodiscard]] field<vec> evaluate_point_derivative(double, const field<vec>&, sword = -1) const override;
 
    [[nodiscard]] vec evaluate_shape_function(double, const field<vec>&) const override;
    [[nodiscard]] field<vec> evaluate_shape_function_derivative(double, const field<vec>&, sword = -1) const override;
};
 
class NURBSCurve2D final : public NURBS {
public:
    explicit NURBSCurve2D(vec, field<vec>&& = {});
};
 
class NURBSCurve3D final : public NURBS {
public:
    explicit NURBSCurve3D(vec, field<vec>&& = {});
};
 
class NURBSCurve4D final : public NURBS {
public:
    explicit NURBSCurve4D(vec, field<vec>&& = {});
};
 
#endif