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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2016 Leszek Koltunski leszek@koltunski.pl //
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// //
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// This file is part of Distorted. //
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// //
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// This library is free software; you can redistribute it and/or //
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// modify it under the terms of the GNU Lesser General Public //
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// License as published by the Free Software Foundation; either //
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// version 2.1 of the License, or (at your option) any later version. //
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// //
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// This library 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 GNU //
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// Lesser General Public License for more details. //
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// //
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// You should have received a copy of the GNU Lesser General Public //
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// License along with this library; if not, write to the Free Software //
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// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.library.type;
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import java.util.Vector;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* A 4-dimensional implementation of the Dynamic class to interpolate between a list
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* of Static4Ds.
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*/
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public class Dynamic4D extends Dynamic implements Data4D
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{
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private final Vector<Static4D> vv;
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private Static4D prev, curr, next;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// no array bounds checking!
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private void computeVelocity(int c)
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{
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int p = c>0 ? c-1: numPoints-1;
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int n = c<numPoints-1 ? c+1: 0;
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prev = vv.elementAt(p);
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curr = vv.elementAt(c);
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next = vv.elementAt(n);
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tmpCache1 = vc.elementAt(c);
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float px = curr.x - prev.x;
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float py = curr.y - prev.y;
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float pz = curr.z - prev.z;
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float pw = curr.w - prev.w;
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float nx = next.x - curr.x;
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float ny = next.y - curr.y;
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float nz = next.z - curr.z;
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float nw = next.w - curr.w;
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float d = nx*nx+ny*ny+nz*nz+nw*nw;
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if( d>0 )
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{
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float q = (float)Math.sqrt((px*px+py*py+pz*pz+pw*pw)/d);
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if( q>1 )
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{
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tmpCache1.velocity[0] = nx+px/q;
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tmpCache1.velocity[1] = ny+py/q;
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tmpCache1.velocity[2] = nz+pz/q;
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tmpCache1.velocity[3] = nw+pw/q;
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}
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else
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{
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tmpCache1.velocity[0] = px+nx*q;
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tmpCache1.velocity[1] = py+ny*q;
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tmpCache1.velocity[2] = pz+nz*q;
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tmpCache1.velocity[3] = pw+nw*q;
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}
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}
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else
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{
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tmpCache1.velocity[0] = 0.0f;
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tmpCache1.velocity[1] = 0.0f;
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tmpCache1.velocity[2] = 0.0f;
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tmpCache1.velocity[3] = 0.0f;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void recomputeCache()
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{
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if( numPoints==1 )
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{
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tmpCache1 = vc.elementAt(0);
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curr= vv.elementAt(0);
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tmpCache1.a[0] = tmpCache1.a[1] = tmpCache1.a[2] = tmpCache1.a[3] = 0.0f;
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tmpCache1.b[0] = tmpCache1.b[1] = tmpCache1.b[2] = tmpCache1.b[3] = 0.0f;
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tmpCache1.c[0] = curr.x;
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tmpCache1.c[1] = curr.y;
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tmpCache1.c[2] = curr.z;
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tmpCache1.c[3] = curr.w;
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tmpCache1.d[0] = tmpCache1.d[1] = tmpCache1.d[3] = tmpCache1.d[3] = 0.0f;
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}
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else if( numPoints==2 )
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{
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tmpCache1 = vc.elementAt(0);
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tmpCache2 = vc.elementAt(1);
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curr= vv.elementAt(0);
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next= vv.elementAt(1);
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tmpCache1.a[0] = tmpCache1.a[1] = tmpCache1.a[2] = tmpCache1.a[3] = 0.0f;
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tmpCache1.b[0] = tmpCache1.b[1] = tmpCache1.b[2] = tmpCache1.b[3] = 0.0f;
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tmpCache1.c[0] = next.x - curr.x;
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tmpCache1.c[1] = next.y - curr.y;
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tmpCache1.c[2] = next.z - curr.z;
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tmpCache1.c[3] = next.w - curr.w;
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tmpCache1.d[0] = curr.x;
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tmpCache1.d[1] = curr.y;
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tmpCache1.d[2] = curr.z;
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tmpCache1.d[3] = curr.w;
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tmpCache2.a[0] = tmpCache2.a[1] = tmpCache2.a[2] = tmpCache2.a[3] = 0.0f;
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tmpCache2.b[0] = tmpCache2.b[1] = tmpCache2.b[2] = tmpCache2.b[3] = 0.0f;
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tmpCache2.c[0] = curr.x - next.x;
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tmpCache2.c[1] = curr.y - next.y;
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tmpCache2.c[2] = curr.z - next.z;
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tmpCache2.c[3] = curr.w - next.w;
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tmpCache2.d[0] = next.x;
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tmpCache2.d[1] = next.y;
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tmpCache2.d[2] = next.z;
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tmpCache2.d[3] = next.w;
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}
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else
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{
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int i, n;
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for(i=0; i<numPoints; i++) computeVelocity(i);
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for(i=0; i<numPoints; i++)
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{
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n = i<numPoints-1 ? i+1:0;
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tmpCache1 = vc.elementAt(i);
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tmpCache2 = vc.elementAt(n);
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curr= vv.elementAt(i);
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next= vv.elementAt(n);
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tmpCache1.cached[0] = curr.x;
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tmpCache1.cached[1] = curr.y;
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tmpCache1.cached[2] = curr.z;
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tmpCache1.cached[3] = curr.w;
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tmpCache1.a[0] = mConvexity*( 2*curr.x + tmpCache1.velocity[0] - 2*next.x + tmpCache2.velocity[0]);
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tmpCache1.b[0] = mConvexity*(-3*curr.x - 2* tmpCache1.velocity[0] + 3*next.x - tmpCache2.velocity[0]);
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tmpCache1.c[0] = mConvexity*(tmpCache1.velocity[0]) + (1.0f-mConvexity)*(next.x-curr.x);
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tmpCache1.d[0] = curr.x;
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tmpCache1.a[1] = mConvexity*( 2*curr.y + tmpCache1.velocity[1] - 2*next.y + tmpCache2.velocity[1]);
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tmpCache1.b[1] = mConvexity*(-3*curr.y - 2* tmpCache1.velocity[1] + 3*next.y - tmpCache2.velocity[1]);
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tmpCache1.c[1] = mConvexity*(tmpCache1.velocity[1]) + (1.0f-mConvexity)*(next.y-curr.y);
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tmpCache1.d[1] = curr.y;
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tmpCache1.a[2] = mConvexity*( 2*curr.z + tmpCache1.velocity[2] - 2*next.z + tmpCache2.velocity[2]);
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tmpCache1.b[2] = mConvexity*(-3*curr.z - 2* tmpCache1.velocity[2] + 3*next.z - tmpCache2.velocity[2]);
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tmpCache1.c[2] = mConvexity*(tmpCache1.velocity[2]) + (1.0f-mConvexity)*(next.z-curr.z);
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tmpCache1.d[2] = curr.z;
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tmpCache1.a[3] = mConvexity*( 2*curr.w + tmpCache1.velocity[3] - 2*next.w + tmpCache2.velocity[3]);
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tmpCache1.b[3] = mConvexity*(-3*curr.w - 2* tmpCache1.velocity[3] + 3*next.w - tmpCache2.velocity[3]);
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tmpCache1.c[3] = mConvexity*(tmpCache1.velocity[3]) + (1.0f-mConvexity)*(next.w-curr.w);
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tmpCache1.d[3] = curr.w;
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if( mSpeedMode==SPEED_MODE_SEGMENT_CONSTANT ) smoothOutSegment(tmpCache1);
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}
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}
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cacheDirty = false;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Default constructor.
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*/
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public Dynamic4D()
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{
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super(0,0.5f,4);
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vv = new Vector<>();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Constructor setting the speed of interpolation and the number of revolutions.
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*
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* What constitutes 'one revolution' depends on the MODE:
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* {@link Dynamic#MODE_LOOP}, {@link Dynamic#MODE_PATH} or {@link Dynamic#MODE_JUMP}.
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*
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* @param duration number of milliseconds it takes to do one revolution.
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* @param count number of revolutions we will do. Count<=0 means 'infinite'.
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*/
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public Dynamic4D(int duration, float count)
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{
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super(duration,count,4);
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vv = new Vector<>();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Returns the location'th Static4D.
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*
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* @param location the index of the Point we are interested in.
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* @return The Static4D, if 0<=location<getNumPoints(), or null otherwise.
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*/
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public synchronized Static4D getPoint(int location)
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{
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return (location>=0 && location<numPoints) ? vv.elementAt(location) : null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Resets the location'th Point.
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*
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* @param location the index of the Point we are setting.
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* @param x New value of its first float.
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*/
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public synchronized void setPoint(int location, float x, float y, float z, float w)
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{
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if( location>=0 && location<numPoints )
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{
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curr = vv.elementAt(location);
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if( curr!=null )
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{
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curr.set(x,y,z,w);
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cacheDirty=true;
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}
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Adds a new Static4D to the end of our list of Points to interpolate through.
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* <p>
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* Only a reference to the Point gets added to the List; this means that one can add a Point
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* here, and later on {@link Static4D#set(float,float,float,float)} it to some new value and
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* the change will be seamlessly reflected in the interpolated path.
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* <p>
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* A Point can be added multiple times.
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*
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* @param v The Point to add.
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*/
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public synchronized void add(Static4D v)
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{
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if( v!=null )
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{
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vv.add(v);
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if( vn!=null ) vn.add(new VectorNoise());
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switch(numPoints)
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{
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case 0: break;
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case 1: computeOrthonormalBase2(vv.elementAt(0),v);
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break;
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case 2: vc.add(new VectorCache());
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vc.add(new VectorCache());
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vc.add(new VectorCache());
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break;
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default:vc.add(new VectorCache());
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}
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numPoints++;
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cacheDirty = true;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Adds a new Static4D to the location'th place in our List of Points to interpolate through.
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*
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* @param location Index in our List to add the new Point at.
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* @param v The Static4D to add.
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*/
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public synchronized void add(int location, Static4D v)
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{
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if( v!=null )
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{
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vv.add(location, v);
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if( vn!=null ) vn.add(new VectorNoise());
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switch(numPoints)
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{
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case 0: break;
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case 1: computeOrthonormalBase2(vv.elementAt(0),v);
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break;
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case 2: vc.add(new VectorCache());
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vc.add(new VectorCache());
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vc.add(new VectorCache());
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break;
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default:vc.add(location,new VectorCache());
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}
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numPoints++;
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cacheDirty = true;
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}
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310
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}
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311
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///////////////////////////////////////////////////////////////////////////////////////////////////
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313
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/**
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314
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* Removes all occurrences of Point v from the List of Points to interpolate through.
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*
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* @param v The Point to remove.
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* @return <code>true</code> if we have removed at least one Point.
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*/
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319
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public synchronized boolean remove(Static4D v)
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{
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321
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int n = vv.indexOf(v);
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322
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boolean found = false;
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323
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324
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while( n>=0 )
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325
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{
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326
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vv.remove(n);
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327
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328
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if( vn!=null ) vn.remove(0);
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329
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330
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switch(numPoints)
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{
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332
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case 0:
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333
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case 1:
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334
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case 2: break;
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335
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case 3: vc.removeAllElements();
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336
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computeOrthonormalBase2(vv.elementAt(0),vv.elementAt(1));
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337
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break;
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338
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default:vc.remove(n);
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339
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}
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340
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341
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numPoints--;
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342
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found = true;
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343
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n = vv.indexOf(v);
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344
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}
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345
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346
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if( found )
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{
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348
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cacheDirty=true;
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349
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}
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350
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351
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return found;
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352
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}
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353
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354
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///////////////////////////////////////////////////////////////////////////////////////////////////
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355
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/**
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356
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* Removes a location'th Point from the List of Points we interpolate through.
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357
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*
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358
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* @param location index of the Point we want to remove.
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359
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* @return <code>true</code> if location is valid, i.e. if 0<=location<getNumPoints().
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360
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*/
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361
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public synchronized boolean remove(int location)
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362
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{
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363
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if( location>=0 && location<numPoints )
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364
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{
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365
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vv.removeElementAt(location);
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366
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367
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if( vn!=null ) vn.remove(0);
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368
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|
369
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switch(numPoints)
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370
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{
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371
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case 0:
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372
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case 1:
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373
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case 2: break;
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374
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case 3: vc.removeAllElements();
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375
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computeOrthonormalBase2(vv.elementAt(0),vv.elementAt(1));
|
376
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break;
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377
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default:vc.removeElementAt(location);
|
378
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}
|
379
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|
380
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numPoints--;
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381
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cacheDirty = true;
|
382
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return true;
|
383
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}
|
384
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|
385
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return false;
|
386
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}
|
387
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|
388
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
389
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/**
|
390
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* Removes all Points.
|
391
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*/
|
392
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public synchronized void removeAll()
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393
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{
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394
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numPoints = 0;
|
395
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vv.removeAllElements();
|
396
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vc.removeAllElements();
|
397
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cacheDirty = false;
|
398
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|
399
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if( vn!=null ) vn.removeAllElements();
|
400
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}
|
401
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|
402
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
403
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/**
|
404
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* Sets the 'smoothness' of interpolation.
|
405
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* <p>
|
406
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* When Noise=0 (the default), we interpolate between our Points through the most smooth path possible.
|
407
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* Increasing noise makes the Dynamic increasingly deviate from this path, pseudo-randomly speeding
|
408
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* up and slowing down, etc.
|
409
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*
|
410
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* @param noise The noise level. Permitted range: 0 <= noise <= 1.
|
411
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*/
|
412
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|
413
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public synchronized void setNoise(Static4D noise)
|
414
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{
|
415
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if( vn==null )
|
416
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{
|
417
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vn = new Vector<>();
|
418
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for(int i=0; i<numPoints; i++) vn.add(new VectorNoise());
|
419
|
|
420
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if( mDimension>=2 )
|
421
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{
|
422
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mFactor = new float[mDimension-1];
|
423
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}
|
424
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|
425
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mNoise = new float[mDimension];
|
426
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}
|
427
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|
428
|
if( noise.x<0.0f ) noise.x = 0.0f;
|
429
|
if( noise.x>1.0f ) noise.x = 1.0f;
|
430
|
if( noise.y<0.0f ) noise.y = 0.0f;
|
431
|
if( noise.y>1.0f ) noise.y = 1.0f;
|
432
|
if( noise.z<0.0f ) noise.z = 0.0f;
|
433
|
if( noise.z>1.0f ) noise.z = 1.0f;
|
434
|
if( noise.w<0.0f ) noise.w = 0.0f;
|
435
|
if( noise.w>1.0f ) noise.w = 1.0f;
|
436
|
|
437
|
mNoise[0] = noise.x;
|
438
|
mNoise[1] = noise.y;
|
439
|
mNoise[2] = noise.z;
|
440
|
mNoise[3] = noise.w;
|
441
|
}
|
442
|
|
443
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
444
|
|
445
|
synchronized void interpolate(float[] buffer, int offset, float time)
|
446
|
{
|
447
|
switch(numPoints)
|
448
|
{
|
449
|
case 0: buffer[offset ] = 0.0f;
|
450
|
buffer[offset+1] = 0.0f;
|
451
|
buffer[offset+2] = 0.0f;
|
452
|
buffer[offset+3] = 0.0f;
|
453
|
break;
|
454
|
case 1: curr = vv.elementAt(0);
|
455
|
buffer[offset ] = curr.x;
|
456
|
buffer[offset+1] = curr.y;
|
457
|
buffer[offset+2] = curr.z;
|
458
|
buffer[offset+3] = curr.w;
|
459
|
break;
|
460
|
case 2: curr = vv.elementAt(0);
|
461
|
next = vv.elementAt(1);
|
462
|
|
463
|
int segment= (int)(2*time);
|
464
|
|
465
|
if( mMode==MODE_LOOP || mMode==MODE_PATH ) time = (time>0.5f ? 2-2*time : 2*time);
|
466
|
|
467
|
if( vn!=null )
|
468
|
{
|
469
|
if( segment != mSegment )
|
470
|
{
|
471
|
if(mMode!=MODE_JUMP || mSegment==1) vn.elementAt(0).computeNoise();
|
472
|
mSegment = segment;
|
473
|
}
|
474
|
|
475
|
time = noise(time,0);
|
476
|
|
477
|
buffer[offset ] = (next.x-curr.x)*time + curr.x + (baseV[1][0]*mFactor[0] + baseV[2][0]*mFactor[1] + baseV[3][0]*mFactor[2]);
|
478
|
buffer[offset+1] = (next.y-curr.y)*time + curr.y + (baseV[1][1]*mFactor[0] + baseV[2][1]*mFactor[1] + baseV[3][1]*mFactor[2]);
|
479
|
buffer[offset+2] = (next.z-curr.z)*time + curr.z + (baseV[1][2]*mFactor[0] + baseV[2][2]*mFactor[1] + baseV[3][2]*mFactor[2]);
|
480
|
buffer[offset+3] = (next.w-curr.w)*time + curr.w + (baseV[1][3]*mFactor[0] + baseV[2][3]*mFactor[1] + baseV[3][3]*mFactor[2]);
|
481
|
}
|
482
|
else
|
483
|
{
|
484
|
buffer[offset ] = (next.x-curr.x)*time + curr.x;
|
485
|
buffer[offset+1] = (next.y-curr.y)*time + curr.y;
|
486
|
buffer[offset+2] = (next.z-curr.z)*time + curr.z;
|
487
|
buffer[offset+3] = (next.w-curr.w)*time + curr.w;
|
488
|
}
|
489
|
|
490
|
break;
|
491
|
default:computeSegmentAndTime(time);
|
492
|
|
493
|
if( mTmpVec>=0 && mTmpVec<numPoints )
|
494
|
{
|
495
|
if( cacheDirty ) recomputeCache(); // recompute cache if we have added or remove vectors since last computation
|
496
|
else if( mSegment!= mTmpSeg ) // ...or if we have just passed a vector and the vector we are currently flying to has changed
|
497
|
{
|
498
|
int vecNext = getNext(mTmpVec,time);
|
499
|
next = vv.elementAt(vecNext);
|
500
|
tmpCache2 = vc.elementAt(vecNext);
|
501
|
|
502
|
if( tmpCache2.cached[0]!=next.x || tmpCache2.cached[1]!=next.y || tmpCache2.cached[2]!=next.z || tmpCache2.cached[3]!=next.w ) recomputeCache();
|
503
|
}
|
504
|
|
505
|
if( mSegment!= mTmpSeg && vn!=null ) vn.elementAt(mTmpVec).computeNoise();
|
506
|
|
507
|
mSegment = mTmpSeg;
|
508
|
time = mTmpTime-mTmpVec;
|
509
|
tmpCache1 = vc.elementAt(mTmpVec);
|
510
|
if( mSpeedMode==SPEED_MODE_SEGMENT_CONSTANT ) time = smoothSpeed(time, tmpCache1);
|
511
|
|
512
|
if( vn!=null )
|
513
|
{
|
514
|
time = noise(time,mTmpVec);
|
515
|
|
516
|
computeOrthonormalBaseMore(time, tmpCache1);
|
517
|
|
518
|
buffer[offset ]= ((tmpCache1.a[0]*time+ tmpCache1.b[0])*time+ tmpCache1.c[0])*time+ tmpCache1.d[0] + (baseV[1][0]*mFactor[0] + baseV[2][0]*mFactor[1] + baseV[3][0]*mFactor[2]);
|
519
|
buffer[offset+1]= ((tmpCache1.a[1]*time+ tmpCache1.b[1])*time+ tmpCache1.c[1])*time+ tmpCache1.d[1] + (baseV[1][1]*mFactor[0] + baseV[2][1]*mFactor[1] + baseV[3][1]*mFactor[2]);
|
520
|
buffer[offset+2]= ((tmpCache1.a[2]*time+ tmpCache1.b[2])*time+ tmpCache1.c[2])*time+ tmpCache1.d[2] + (baseV[1][2]*mFactor[0] + baseV[2][2]*mFactor[1] + baseV[3][2]*mFactor[2]);
|
521
|
buffer[offset+3]= ((tmpCache1.a[3]*time+ tmpCache1.b[3])*time+ tmpCache1.c[3])*time+ tmpCache1.d[3] + (baseV[1][3]*mFactor[0] + baseV[2][3]*mFactor[1] + baseV[3][3]*mFactor[2]);
|
522
|
}
|
523
|
else
|
524
|
{
|
525
|
buffer[offset ]= ((tmpCache1.a[0]*time+ tmpCache1.b[0])*time+ tmpCache1.c[0])*time+ tmpCache1.d[0];
|
526
|
buffer[offset+1]= ((tmpCache1.a[1]*time+ tmpCache1.b[1])*time+ tmpCache1.c[1])*time+ tmpCache1.d[1];
|
527
|
buffer[offset+2]= ((tmpCache1.a[2]*time+ tmpCache1.b[2])*time+ tmpCache1.c[2])*time+ tmpCache1.d[2];
|
528
|
buffer[offset+3]= ((tmpCache1.a[3]*time+ tmpCache1.b[3])*time+ tmpCache1.c[3])*time+ tmpCache1.d[3];
|
529
|
}
|
530
|
|
531
|
break;
|
532
|
}
|
533
|
}
|
534
|
}
|
535
|
|
536
|
}
|
537
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
538
|
//
|