/* This file is part of the source code for 3D-XplorMath-J, Version 1.0 (January 2008).
* Copyright (c) 2008 The 3D-XplorMath Consortium (http://3d-xplormath.org).
* This source code is released under a BSD License, which allows redistribution
* in source and binary form, with or without modification, provided copyright
* and license information are included, and with no warranty or guarantee of
* any kind. For details, see http://3d-xplormath.org/j/source/BSDLicense.txt
*/
package vmm3d.ode.secondorder3D;
import java.awt.Color;
import org.freehep.graphics2d.VectorGraphics;
import java.awt.event.MouseEvent;
import vmm3d.core.Display;
import vmm3d.core.I18n;
import vmm3d.core.MouseTask;
import vmm3d.core.Util;
import vmm3d.core.View;
import vmm3d.core3D.BasicMouseTask3D;
import vmm3d.core3D.Vector3D;
import vmm3d.core3D.View3D;
import vmm3d.ode.ODE_3D;
abstract public class ODE2ndOrder3DNonAutonomous extends ODE_3D {
public ODE2ndOrder3DNonAutonomous() {
super(false,false,"t","x","y","z","x'","y'","z'");
initialDataDefault = new double[] { 0, 1, 1, 0, 0, 0, 1, 1 };
timeSpanDefault = 30;
}
protected void nextEulerPoint(double[] pointData, double dt) {
double t = pointData[0];
double x = pointData[1];
double y = pointData[2];
double z = pointData[3];
double xdot = pointData[4];
double ydot = pointData[5];
double zdot = pointData[6];
pointData[0] = t + dt;
pointData[1] = x + dt*xdot;
pointData[2] = y + dt*ydot;
pointData[3] = z + dt*zdot;
pointData[4] = xdot + dt*xdotdot(x,y,z,xdot,ydot,zdot,t);
pointData[5] = ydot + dt*ydotdot(x,y,z,xdot,ydot,zdot,t);
pointData[6] = zdot + dt*zdotdot(x,y,z,xdot,ydot,zdot,t);
}
protected void nextRungeKuttaPoint(double[] pointData, double dt) {
double t = pointData[0];
double x = pointData[1];
double y = pointData[2];
double z = pointData[3];
double xdot = pointData[4];
double ydot = pointData[5];
double zdot = pointData[6];
double i1,i2,i3,i4, j1,j2,j3,j4, m1,m2,m3,m4, h1,h2,h3,h4, k1,k2,k3,k4, n1,n2,n3,n4;
i1 = dt * xdot;
j1 = dt * ydot;
m1 = dt * zdot;
h1 = dt * xdotdot(x,y,z,xdot,ydot,zdot,t);
k1 = dt * ydotdot(x,y,z,xdot,ydot,zdot,t);
n1 = dt * zdotdot(x,y,z,xdot,ydot,zdot,t);
i2 = dt * (xdot + h1/2);
j2 = dt * (ydot + k1/2);
m2 = dt * (zdot + n1/2);
h2 = dt * xdotdot(x+i1/2,y+j1/2,z+m1/2,xdot+h1/2,ydot+k1/2,zdot+n1/2,t+dt/2);
k2 = dt * ydotdot(x+i1/2,y+j1/2,z+m1/2,xdot+h1/2,ydot+k1/2,zdot+n1/2,t+dt/2);
n2 = dt * zdotdot(x+i1/2,y+j1/2,z+m1/2,xdot+h1/2,ydot+k1/2,zdot+n1/2,t+dt/2);
i3 = dt * (xdot + h2/2);
j3 = dt * (ydot + k2/2);
m3 = dt * (zdot + n2/2);
h3 = dt * xdotdot(x+i2/2,y+j2/2,z+m2/2,xdot+h2/2,ydot+k2/2,zdot+n2/2,t+dt/2);
k3 = dt * ydotdot(x+i2/2,y+j2/2,z+m2/2,xdot+h2/2,ydot+k2/2,zdot+n2/2,t+dt/2);
n3 = dt * zdotdot(x+i2/2,y+j2/2,z+m2/2,xdot+h2/2,ydot+k2/2,zdot+n2/2,t+dt/2);
i4 = dt * (xdot + h3);
j4 = dt * (ydot + k3);
m4 = dt * (zdot + n3);
h4 = dt * xdotdot(x+i3,y+j3,z+m3,xdot+h3,ydot+k3,zdot+n3,t+dt);
k4 = dt * ydotdot(x+i3,y+j3,z+m3,xdot+h3,ydot+k3,zdot+n3,t+dt);
n4 = dt * zdotdot(x+i3,y+j3,z+m3,xdot+h3,ydot+k3,zdot+n3,t+dt);
double dx = i1/6 + i2/3 + i3/3 + i4/6;
double dy = j1/6 + j2/3 + j3/3 + j4/6;
double dz = m1/6 + m2/3 + m3/3 + m4/6;
double dxdot = h1/6 + h2/3 + h3/3 + h4/6;
double dydot = k1/6 + k2/3 + k3/3 + k4/6;
double dzdot = n1/6 + n2/3 + n3/3 + n4/6;
pointData[0] = t + dt;
pointData[1] = x + dx;
pointData[2] = y + dy;
pointData[3] = z + dz;
pointData[4] = xdot + dxdot;
pointData[5] = ydot + dydot;
pointData[6] = zdot + dzdot;
}
abstract protected double xdotdot(double x, double y, double z, double xdot, double ydot, double zdot, double t);
abstract protected double ydotdot(double x, double y, double z, double xdot, double ydot, double zdot, double t);
abstract protected double zdotdot(double x, double y, double z, double xdot, double ydot, double zdot, double t);
protected MouseTask makeDefaultMouseTask(ODEView view) {
return new ThrowIt();
}
private class ThrowIt extends BasicMouseTask3D {
int startX, startY;
int currentX, currentY;
boolean throwing;
public boolean doMouseDown(MouseEvent evt, Display display, View view, int width, int height) {
if (evt.isAltDown()) {
throwing = true;
startX = currentX = evt.getX();
startY = currentY = evt.getY();
return true;
}
return super.doMouseDown(evt, display, view, width, height);
}
public void doMouseDrag(MouseEvent evt, Display display, View view, int width, int height) {
if (throwing) {
currentX = evt.getX();
currentY = evt.getY();
view.forceRedraw();
}
else
super.doMouseDrag(evt, display, view, width, height);
}
public void doMouseUp(MouseEvent evt, Display display, View view, int width, int height) {
if (throwing) {
throwing = false;
ODEView odeView = (ODEView)view;
double t = odeView.getCurrentTimeFromControlPanel();
Vector3D pt1 = screenPointTo3DPoint(odeView, startX, startY);
Vector3D pt2 = screenPointTo3DPoint(odeView, currentX, currentY);
double[] data = new double[] { t, pt1.x, pt1.y, pt1.z, pt2.x-pt1.x, pt2.y-pt1.y, pt2.z-pt1.z };
((ODEView)view).startOrbitAtPoint(data);
}
else
super.doMouseUp(evt, display, view, width, height);
}
public void drawWhileDragging(org.freehep.graphics2d.VectorGraphics g, Display display, View view, int width, int height) {
if (throwing) {
if (((View3D)view).getViewStyle() == View3D.RED_GREEN_STEREO_VIEW)
g.setColor(Color.YELLOW);
else
g.setColor(view.getForeground());
g.drawLine(startX,startY,currentX,currentY);
}
else
super.drawWhileDragging(g,display,view,width,height);
}
public String getStatusText() {
if (Util.isMacOS())
return I18n.tr("vmm.ode.secondorder2D.mouseTaskStatusText.mac");
else
return I18n.tr("vmm.ode.secondorder2D.mouseTaskStatusText");
}
}
}
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