102 lines
3.2 KiB
Java
102 lines
3.2 KiB
Java
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/*
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* opsu! - an open-source osu! client
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* Copyright (C) 2014, 2015 Jeffrey Han
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*
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* opsu! 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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*
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* opsu! 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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*
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* You should have received a copy of the GNU General Public License
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* along with opsu!. If not, see <http://www.gnu.org/licenses/>.
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*/
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package itdelatrisu.opsu.objects.curves;
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/**
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* Representation of a Centripetal Catmull–Rom spline.
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* http://en.wikipedia.org/wiki/Centripetal_Catmull%E2%80%93Rom_spline
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*
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* Currently not technically Centripetal Catmull–Rom
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*
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* @author fluddokt (https://github.com/fluddokt)
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*/
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public class CentripetalCatmullRom extends CurveType{
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float [] time;
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Vec2f[] points;
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protected CentripetalCatmullRom(Vec2f[] points) {
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if (points.length != 4)
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throw new Error("need exactly 4 points");
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this.points = points;
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System.out.println("C");
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for(int i=0;i<4;i++){
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System.out.println(points[i]);
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}
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time = new float[4];
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time[0] = 0;
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float approxLength = 0;
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for(int i=1;i<4;i++){
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float len = 0;
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if(i>0)
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len = points[i].cpy().sub(points[i-1]).len();
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if(len<=0)
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len+=0.0001f;
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approxLength += len;
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//time[i] = (float) Math.sqrt(len) + time[i-1];// ^(0.5)
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time[i] = i;
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System.out.println("knot:"+i+" "+time[i]);
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}
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init(approxLength/2);
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}
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public Vec2f pointAt(float t, int start, int end){
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int ind1 = start;
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int ind2 = end;
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if(end-start==3){
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ind1 = 1;
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ind2 = 2;
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}
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//System.out.println("ST:"+start+" "+end+" "+ind1+" "+ind2);
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float div = (time[ind2] - time[ind1]);
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float v1 = (time[ind2] - t)/div;
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float v2 = (t - time[ind1])/div;
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System.out.println("div"+div+" "+v1+" "+v2);
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if(end-start==1)
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return points[start].cpy().scale(v1).add(points[end].cpy().scale(v2));
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else
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return pointAt(t,start,end-1).scale(v1).add(pointAt(t,start+1,end).scale(v2));
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}
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public Vec2f pointAt(float t){
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t = t * (time[2]-time[1]) + time[1];
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Vec2f A1 = points[0].cpy().scale((time[1]-t)/(time[1]-time[0])).add(points[1].cpy().scale((t-time[0])/(time[1]-time[0])));
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Vec2f A2 = points[1].cpy().scale((time[2]-t)/(time[2]-time[1])).add(points[2].cpy().scale((t-time[1])/(time[2]-time[1])));
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Vec2f A3 = points[2].cpy().scale((time[3]-t)/(time[3]-time[2])).add(points[3].cpy().scale((t-time[2])/(time[3]-time[2])));
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Vec2f B1 = A1.cpy().scale((time[2]-t)/(time[2]-time[0])).add(A2.cpy().scale((t-time[0])/(time[2]-time[0])));
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Vec2f B2 = A2.cpy().scale((time[3]-t)/(time[3]-time[1])).add(A3.cpy().scale((t-time[1])/(time[3]-time[1])));
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Vec2f C = B1.cpy().scale((time[2]-t)/(time[2]-time[1])).add(B2.cpy().scale((t-time[1])/(time[2]-time[1])));
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return C;
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}
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public String toString(){
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String t = "CATMULLROM";
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for(Vec2f p: points){
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t+=p;
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}
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t+=pointAt(0);
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t+=pointAt(1);
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return t;
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}
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}
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