51 lines
1.6 KiB
Java
51 lines
1.6 KiB
Java
/*
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* This file is part of Industrial Wires.
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* Copyright (C) 2016-2018 malte0811
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* Industrial Wires is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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* Industrial Wires is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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* You should have received a copy of the GNU General Public License
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* along with Industrial Wires. If not, see <http://www.gnu.org/licenses/>.
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*/
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package malte0811.industrialwires.util;
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import net.minecraft.util.math.Vec3d;
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public final class Beziers {
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private Beziers() {
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}
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public static Vec3d getPoint(double t, Vec3d[] controls) {
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if (t == 0) {
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return controls[0];
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} else if (t == 1) {
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return controls[controls.length - 1];
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}
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Vec3d ret = new Vec3d(0, 0, 0);
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int n = controls.length - 1;
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for (int i = 0; i <= n; i++) {
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double coeff = binomialCoeff(n, i) * Math.pow(t, i) * Math.pow(1 - t, n - i);
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ret = ret.add(coeff * controls[i].x, coeff * controls[i].y, coeff * controls[i].z);
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}
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return ret;
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}
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public static int binomialCoeff(int n, int k) {
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return factorial(n - k + 1, n) / factorial(2, k);
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}
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public static int factorial(int start, int end) {
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int ret = 1;
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for (int i = start; i <= end; i++) {
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ret *= i;
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}
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return ret;
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}
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}
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