// Henon attractor, Evgeny Demidov, 21 June 2004 import java.awt.*; import java.awt.image.*; import java.awt.event.*; import java.util.StringTokenizer; public class @file extends java.applet.Applet implements MouseListener { double Ymid=0, Xmid=-.5, stX,stJ, A=-1.4, B=.3, Xj=0,Yj=0; int MaxIt = 256, maxColor = 96, w,w2,h,h2, pixArr[], pixJ[]; Image img, imgJ; IndexColorModel RainbowColor; boolean drawM = true, drawJ = true; public void init() { w = getSize().width/2; h = getSize().height; w2 = w/2; h2 = h/2; stX = 3./w; stJ = 5./w; String s=getParameter("XYmidDelCD"); if (s != null) { StringTokenizer st = new StringTokenizer(s); Xmid = Double.valueOf(st.nextToken()).doubleValue(); Ymid = Double.valueOf(st.nextToken()).doubleValue(); stX = Double.valueOf(st.nextToken()).doubleValue()/w;} // paramC = Double.valueOf(st.nextToken()).doubleValue(); // paramD = Double.valueOf(st.nextToken()).doubleValue();} s=getParameter("MaxIt"); if (s != null) MaxIt=Integer.parseInt(s); s=getParameter("MaxColor"); if (s != null) maxColor=Integer.parseInt(s); int M=maxColor/3, M2=2*M; maxColor = 3*M; // maxColor is 3*int long M4 = (long)M*M*M*M; byte rColor[] = new byte[maxColor+3], bColor[] = new byte[maxColor+3], gColor[] = new byte[maxColor+3]; for (int i = 1; i < M2; i++){ // set Color Map long dum = M - i; dum *=dum; dum *=dum; gColor[i] = bColor[(i+M) % maxColor] = rColor[(i+M2) % maxColor] = (byte)(255 - (255*dum)/M4);} rColor[maxColor+1] = gColor[maxColor+1] = bColor[maxColor+1] = (byte)200; rColor[maxColor+2] = gColor[maxColor+2] = bColor[maxColor+2] = (byte)255; RainbowColor = new IndexColorModel( 8, maxColor+3, rColor,gColor,bColor); pixArr = new int[w*h]; pixJ = new int[w*h]; Draw(Xmid, Ymid, stX); DrawJ(); addMouseListener(this); } public void destroy() { removeMouseListener(this); } public void mouseClicked(MouseEvent e) {} //1.1 event handling public void mousePressed(MouseEvent e) {} public void mouseEntered(MouseEvent e) {} public void mouseExited(MouseEvent e) {} public void mouseReleased(MouseEvent e) { int ix = e.getX(); double xt,yt; if (ix < w){ xt = Xmid+(ix-w2)*stX; yt = Ymid-(e.getY()-h2)*stX; if ( e.isControlDown() ){ if ( e.isShiftDown() ) stX *=4.; else stX *=2.; Xmid = xt; Ymid = yt; Draw(Xmid, Ymid, stX);} else if( e.isAltDown() ){ if ( e.isShiftDown() ) stX /=4.; else stX /=2.; Xmid = xt; Ymid = yt; Draw(Xmid, Ymid, stX);} else{ A = xt; B = yt; DrawJ(); showStatus( "a=" + A + " b=" + B);}} else{ xt = Xj+(ix-w2-w)*stJ; yt = Yj-(e.getY()-h2)*stJ; if ( e.isControlDown() ){ if ( e.isShiftDown() ) stJ *=4.; else stJ *=2.; Xj = xt; Yj = yt; DrawJ();} else if( e.isAltDown() ){ if ( e.isShiftDown() ) stJ /=4.; else stJ /=2.; Xj = xt; Yj = yt; DrawJ();}} repaint(); } public void paint(Graphics g) { g.drawImage(img, 0, 0, this); g.drawImage(imgJ, w, 0, this); g.setColor(Color.white); int n=0, x,y; y = h2 + (int)(Ymid/stX); g.drawLine(0,y, w,y); x = w2 + (int)((A - Xmid)/stX); y = h2 - (int)((B - Ymid)/stX); if(x < w) g.drawLine(x-3,y, x+3,y); g.drawLine(x,y-3, x,y+3); } public void Draw( double Xm, double Ym, double Step){ double X,Y; int pix=0, ix,iy; for (iy=0, Y=Ym+Step*h2; iy < h; iy++, Y-=Step) { for (ix=0, X=Xm-Step*(w2-1); ix < w; ix++, X+=Step, pix++){ pixArr[pix] = iterate(X, Y);}} img = createImage(new MemoryImageSource(w, h, RainbowColor, pixArr, 0, w)); } int iterate(double a, double b){ double X, X2, X1, Y; int n=0; double b1 = (1-b)*.5, d=b1*b1-a; if (d < 0) X = 0; else X = b1 - Math.sqrt(d) + 1e-10; Y = X; X2 = X*X; do{ X1 = a + X2 + b*Y; Y = X; X = X1; X2 = X*X; n++; } while ((X2 < 1000.) && (n < MaxIt) ); if (n < MaxIt) return maxColor+1; double Xo = X, Yo = Y; n = -1; do{ X1 = a + X*X + b*Y; Y = X; X = X1; n++; } while ((Math.abs(X - Xo) + Math.abs(Y - Yo) > 1e-8) && (n < 64) ); if (n == 64) return maxColor; return n % maxColor; } public void DrawJ(){ int ix,iy; for (int it=0; it < w*h; it++) pixJ[it] = maxColor+2; double X, X2, X1, Y, b1 = (1-B)*.5, d=b1*b1-A; if (d < 0) X = 0; else X = b1 - Math.sqrt(d) + 1e-10; Y = X; X2 = X*X; for (int it=0; it <= 10000*MaxIt; it++){ X1 = A + X2 + B*Y; Y = X; X = X1; X2 = X*X; ix = (int)((X - Xj)/stJ) + w2; iy = -(int)((Y - Yj)/stJ) + h2; //System.out.println(""+X +" "+Y+" "+it); if ((ix >= 0)&&(ix < w)&&(iy >= 0)&&(iy < h)) pixJ[ix+iy*w] = maxColor; } // for (int it=0; it < w*h; it++) pixJ[it] %= maxColor; imgJ = createImage(new MemoryImageSource(w, h, RainbowColor, pixJ, 0, w)); } }