50 lines
1.6 KiB
Java
50 lines
1.6 KiB
Java
|
/*
|
||
|
* This file is part of Industrial Wires.
|
||
|
* Copyright (C) 2016-2017 malte0811
|
||
|
*
|
||
|
* Industrial Wires 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.
|
||
|
*
|
||
|
* Industrial Wires 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 Industrial Wires. If not, see <http://www.gnu.org/licenses/>.
|
||
|
*/
|
||
|
|
||
|
package malte0811.industrialWires.util;
|
||
|
|
||
|
import net.minecraft.util.math.Vec3d;
|
||
|
|
||
|
public final class Beziers {
|
||
|
private Beziers() {}
|
||
|
public static Vec3d getPoint(double t, Vec3d[] controls) {
|
||
|
if (t==0) {
|
||
|
return controls[0];
|
||
|
} else if (t==1) {
|
||
|
return controls[controls.length-1];
|
||
|
}
|
||
|
Vec3d ret = new Vec3d(0, 0, 0);
|
||
|
int n = controls.length-1;
|
||
|
for (int i = 0;i<=n;i++) {
|
||
|
double coeff = binomialCoeff(n, i)*Math.pow(t, i)*Math.pow(1-t, n-i);
|
||
|
ret = ret.addVector(coeff*controls[i].xCoord, coeff*controls[i].yCoord, coeff*controls[i].zCoord);
|
||
|
}
|
||
|
return ret;
|
||
|
}
|
||
|
public static int binomialCoeff(int n, int k) {
|
||
|
return factorial(n-k+1, n)/factorial(2, k);
|
||
|
}
|
||
|
public static int factorial(int start, int end) {
|
||
|
int ret = 1;
|
||
|
for (int i = start;i<=end;i++) {
|
||
|
ret *= i;
|
||
|
}
|
||
|
return ret;
|
||
|
}
|
||
|
}
|