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3D rendering engine. Plus modelling. Expected glsl textures 3d and 2d rendering3D primitives, and a lot of scenes' samples to test.+ Game Jogl reworked, Calculator (numbers and vectors). Java code parser implementation starts (<=1.2)

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/*
 *
 *  * Copyright (c) 2024. Manuel Daniel Dahmen
 *  *
 *  *
 *  *    Copyright 2024 Manuel Daniel Dahmen
 *  *
 *  *    Licensed under the Apache License, Version 2.0 (the "License");
 *  *    you may not use this file except in compliance with the License.
 *  *    You may obtain a copy of the License at
 *  *
 *  *        http://www.apache.org/licenses/LICENSE-2.0
 *  *
 *  *    Unless required by applicable law or agreed to in writing, software
 *  *    distributed under the License is distributed on an "AS IS" BASIS,
 *  *    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  *    See the License for the specific language governing permissions and
 *  *    limitations under the License.
 *
 *
 */

package one.empty3.library;

import one.empty3.library.core.nurbs.SurfaceParametriquePolynomiale;

public class Polygons extends SurfaceParametriquePolynomiale {
    @Override
    public Point3D calculerPoint3D(double u, double v) {
        try {
            int indexU0 = (int) (u * coefficients.getData2d().size());
            int indexV0 = (int) (v * coefficients.getData2d().get(0).size());
            if (indexU0 > coefficients.getData2d().size() - 1) {
                indexU0 = coefficients.getData2d().size() - 1;
            }
            if (indexV0 > coefficients.getData2d().get(0).size() - 1) {
                indexV0 = coefficients.getData2d().get(0).size() - 1;
            }
            int indexU1 = (int) (indexU0 + 1.);
            int indexV1 = (int) (indexV0 + 1.);
            if (indexU1 > coefficients.getData2d().size() - 1) {
                indexU1 = coefficients.getData2d().size() - 1;
            }
            if (indexV1 > coefficients.getData2d().get(0).size() - 1) {
                indexV1 = coefficients.getData2d().get(0).size() - 1;
            }
            if(coefficients.inBounds(indexU0, indexV0) && coefficients.inBounds(indexU1, indexV0)
                &&coefficients.inBounds(indexU1, indexV1) && coefficients.inBounds(indexU0, indexV1)) {
                Point3D[] points = new Point3D[]{
                        coefficients.getElem(indexU0, indexV0), coefficients.getElem(indexU1, indexV0),
                        coefficients.getElem(indexU1, indexV1), coefficients.getElem(indexU0, indexV1)
                };
                double U = u * (coefficients.getData2d().size()) - indexU0;
                double V = v * (coefficients.getData2d().get(0).size()) - indexV0;
                assert U >= 0 && U <= 1 && V >= 0 && V <= 1;
                Point3D pUv0 = points[0].plus(points[1].moins(points[0]).mult(U));
                Point3D pUv1 = points[3].plus(points[2].moins(points[3]).mult(U));
                Point3D pU0v = points[3].moins(points[0]).mult(V);
                Point3D pU1v = points[2].moins(points[1]).mult(V);
                return pUv0.plus(pUv1.moins(pUv0).mult(V)); // Discutable
            }
        } catch (NullPointerException ex) {
            ex.printStackTrace();
        }
        return null;
    }
}