// 3D painted fractal mountains, Evgeny Demidov 12 Oct 2001 import java.awt.*; import java.awt.event.*; import java.util.StringTokenizer; public class @file extends java.applet.Applet implements MouseListener, MouseMotionListener { int n = 32, n1, h,w,h2,w2, mx0,my0, xPol[],yPol[], iCol[][][]; double rnd, fiX = .2, fiY = .3, dfi = .01, scale = .8, m20,m21,m22; double vert[][][], vert1[][][], Norm[][][][], Norm1z[][][], M[]; Image buffImage; Graphics buffGraphics; Color col[][]; boolean painted; public void init(){ w = getSize().width; h = getSize().height; w2 = w/2; h2 = h/2; String s=getParameter("N"); if (s != null) n = Integer.parseInt(s); xPol = new int[3]; yPol = new int[3]; buffImage = createImage(w, h); buffGraphics = buffImage.getGraphics(); col = new Color[4][256]; for (int i = 0; i < 256; i++){ col[0][i] = new Color(0, 0, i); col[1][i] = new Color(0, (i*220)/256, 0); col[2][i] = new Color((i*150)/256, (i*150)/256, (i*50)/256); col[3][i] = new Color(i, i, i);} s = getParameter("bgColor"); if (s != null){ StringTokenizer st = new StringTokenizer(s); int red = Integer.parseInt(st.nextToken()); int green = Integer.parseInt(st.nextToken()); int blue = Integer.parseInt(st.nextToken()); setBackground( new Color(red, green, blue));} else setBackground(new Color(255,255,255)); addMouseListener(this); addMouseMotionListener(this); setup(); } public double R(){ return rnd*(Math.random()-.5);} public void setup(){ rnd = 1; n1 = n+1; iterate(); vert = new double[n1][n1][3]; vert1 = new double[n1][n1][2]; double dx = w/(double)n; int t = 0; for (int i = 0; i < n1; i++) for (int j = 0; j < n1; j++){ vert[i][j][0] = dx*i - w2; vert[i][j][2] = dx*j - w2; double mi = M[t++]; if (mi < 0) mi = .01*Math.random(); vert[i][j][1] = w*mi - w2/2;} Norm = new double[n1][n1][2][3]; Norm1z = new double[n1][n1][2]; iCol = new int[n][n][2]; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++){ double s = ((vert[i][j][1] + vert[i+1][j][1] + vert[i+1][j+1][1])/3 + w2/2)/w; if (s < .01) iCol[i][j][0] = 0; else if (s+.1*Math.random() > .35) iCol[i][j][0] = 3; else if (s+.1*Math.random() > .15) iCol[i][j][0] = 2; else iCol[i][j][0] = 1; s = ((vert[i][j][1] + vert[i][j+1][1] + vert[i+1][j+1][1])/3 + w2/2)/w; if (s < .01) iCol[i][j][1] = 0; else if (s+.1*Math.random() > .35) iCol[i][j][1] = 3; else if (s+.1*Math.random() > .15) iCol[i][j][1] = 2; else iCol[i][j][1] = 1; Norm[i][j][0][0] = vert[i][j][1] - vert[i+1][j][1]; Norm[i][j][0][1] = dx; Norm[i][j][0][2] = vert[i+1][j][1] - vert[i+1][j+1][1]; double mod = Math.sqrt(Norm[i][j][0][0]*Norm[i][j][0][0] + Norm[i][j][0][1]* Norm[i][j][0][1] + Norm[i][j][0][2]*Norm[i][j][0][2]) / 255.5; Norm[i][j][0][0] /= mod; Norm[i][j][0][1] /= mod; Norm[i][j][0][2] /= mod; Norm[i][j][1][0] = vert[i][j+1][1] - vert[i+1][j+1][1]; Norm[i][j][1][1] = dx; Norm[i][j][1][2] = vert[i][j][1] - vert[i][j+1][1]; mod = Math.sqrt(Norm[i][j][1][0]*Norm[i][j][1][0] + Norm[i][j][1][1]* Norm[i][j][1][1] + Norm[i][j][1][2]*Norm[i][j][1][2]) / 255.5; Norm[i][j][1][0] /= mod; Norm[i][j][1][1] /= mod; Norm[i][j][1][2] /= mod;} rotate(); } public void iterate(){ int nc=n, Max=n1*n1, ncn1; double Min=-1; M = new double[Max]; for (int i=n+2; i < n*n1-1; i++) M[i] = Min; for (int i=2*n1; i < n*n1; i += n1) M[i] = M[i-1] = 0; while ( (nc /= 2) >= 1){ ncn1 = nc*n1; for (int j=ncn1; j < Max; j += ncn1+ncn1){ for (int i= nc; i < n; i += nc+nc){ if (M[i+j]==Min) M[i+j] = (M[i+j+nc-ncn1] + M[i+j-nc+ncn1])/2.+R(); if (M[i+j+nc]==Min) M[i+j+nc] = (M[i+j+nc+ncn1] + M[i+j+nc-ncn1])/2.+R(); if (M[i+j+ncn1]==Min) M[i+j+ncn1] = (M[i+j-nc+ncn1] + M[i+j+nc+ncn1])/2.+R(); }} rnd /= 2.;} } public void destroy() { removeMouseListener(this); removeMouseMotionListener(this); } public void mouseClicked(MouseEvent e){} // event handling public void mousePressed(MouseEvent e) { mx0 = e.getX(); my0 = e.getY(); if ( e.isControlDown() ){ setup(); repaint();} if ( e.isAltDown() ){ if ( e.isShiftDown() ){ n /= 2; if (n < 1) n = 1;} else n *= 2; setup(); repaint();} e.consume(); } public void mouseReleased(MouseEvent e){} public void mouseEntered(MouseEvent e) {} public void mouseExited(MouseEvent e) {} public void mouseDragged(MouseEvent e) { int x1 = e.getX(); int y1 = e.getY(); if ( e.isShiftDown() ) scale *= Math.exp(-(y1 - my0)/(double)w); else fiX += dfi*(y1 - my0); fiY += dfi*(x1 - mx0); mx0 = x1; my0 = y1; rotate(); repaint(); e.consume(); } public void rotate(){ double ct = Math.cos(fiX), cf = Math.cos(fiY), st = Math.sin(fiX), sf = Math.sin(fiY), m00 = scale*cf, m02 = scale*sf, m10 = scale*st*sf, m11 = scale*ct, m12 = -scale*st*cf; m20 = -ct*sf; m21 = st; m22 = ct*cf; for (int i = 0; i < n1; i++) for (int j = 0; j < n1; j++){ vert1[i][j][0] = m00*vert[i][j][0] + m02*vert[i][j][2]; vert1[i][j][1] = m10*vert[i][j][0] + m11*vert[i][j][1] + m12*vert[i][j][2];} for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < 2; k++) Norm1z[i][j][k] = m20*Norm[i][j][k][0] + m21*Norm[i][j][k][1] + m22*Norm[i][j][k][2]; painted = false; } public void mouseMoved(MouseEvent e) {} public void paint(Graphics g) { if ( !painted ){ buffGraphics.clearRect(0, 0, w, h); int ib=0, ie=n, sti=1, jb=0, je=n, stj=1; if (m20 < 0){ ib = n; ie = -1; sti = -1;} if (m22 < 0){ jb = n; je = -1; stj = -1;} for (int i = ib; i != ie; i += sti) for (int j = jb; j != je; j += stj){ if (Norm1z[i][j][0] > 0){ xPol[0] = w2 + (int)vert1[i][j][0]; xPol[1] = w2 + (int)vert1[i+1][j][0]; xPol[2] = w2 + (int)vert1[i+1][j+1][0]; yPol[0] = h2 - (int)vert1[i][j][1]; yPol[1] = h2 - (int)vert1[i+1][j][1]; yPol[2] = h2 - (int)vert1[i+1][j+1][1]; buffGraphics.setColor(col[iCol[i][j][0]][(int)(Norm1z[i][j][0])]); buffGraphics.fillPolygon(xPol,yPol, 3);} if (Norm1z[i][j][1] > 0){ xPol[0] = w2 + (int)vert1[i][j][0]; xPol[1] = w2 + (int)vert1[i][j+1][0]; xPol[2] = w2 + (int)vert1[i+1][j+1][0]; yPol[0] = h2 - (int)vert1[i][j][1]; yPol[1] = h2 - (int)vert1[i][j+1][1]; yPol[2] = h2 - (int)vert1[i+1][j+1][1]; buffGraphics.setColor(col[iCol[i][j][1]][(int)(Norm1z[i][j][1])]); buffGraphics.fillPolygon(xPol,yPol, 3);} } painted = true;} g.drawImage(buffImage, 0, 0, this); showStatus( "n=" + n); } public void update(Graphics g){ paint(g); } }