From: "Scenario-gi" <scenarioscript@yahoo.ca>
Subject: gi-Evolve-st-Exupery
Date: Sun, 14 Jan 2007 19:24:14 -0500
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Un script d'Evolve, scénario par GiFais de ta vie un rêve, et d'un rêve, une 
réalité.
~Antoine de Saint-Exupéry~






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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Un script d'Evolve, sc=E9nario par Gi</TITLE>
<STYLE>BODY {
	SCROLLBAR-FACE-COLOR: #f3eff3; SCROLLBAR-ARROW-COLOR: wheat; =
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<META http-equiv=3DContent-Type content=3D"text/html; =
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<OBJECT id=3DDAControl=20
style=3D"LEFT: 300px; WIDTH: 600px; POSITION: absolute; TOP: -130px; =
HEIGHT: 600px"=20
classid=3DCLSID:B6FFC24C-7E13-11D0-9B47-00C04FC2F51D><PARAM =
NAME=3D"OpaqueForHitDetect" VALUE=3D"0"><PARAM NAME=3D"UpdateInterval" =
VALUE=3D"0.033"></OBJECT>
<SCRIPT src=3D"fixit.js" type=3Dtext/javascript></SCRIPT>

<DIV=20
style=3D"PADDING-RIGHT: 40px; PADDING-LEFT: 40px; Z-INDEX: 1; LEFT: =
360px; PADDING-BOTTOM: 40px; PADDING-TOP: 40px; POSITION: absolute; TOP: =
160px"><SPAN=20
class=3Dbig><FONT color=3D#917791 size=3D6>Fais de ta vie un r=EAve, et =
d'un r=EAve, une=20
r=E9alit=E9.</FONT><BR><FONT color=3D#917791 size=3D4>~Antoine de=20
Saint-Exup=E9ry~</FONT></SPAN> </DIV><BR><BR><BR>
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src=3D"cid:00b201c7383b$7c7e33e0$78e5fea9@ordixpsp2"=20
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<SCRIPT>

/////////////////////////////////////
//      Spinning Superellipsoids   //
//             (Squared)           //
//                 3               //
//             June 2002           //
//  http://www.mgifos.demon.co.uk  //
/////////////////////////////////////

var m=3DDAControl.MeterLibrary;     =20
var p=3Dnew Array();
var g=3Dnew Array();
var n1=3Dsdan(0.1,2.5,0.5);
var n2=3Dsdan(0.1,2.5,1.2);
var n3=3Dsdan(0.1,2.5,0.4);
var n4=3Dsdan(0.1,2.5,0.62);
var r1=3Dsdan(0.8,1.2,1.1);
var r2=3Dsdan(0.8,1.2,0.3);
var r3=3Dsdan(0.8,1.2,0.9);
var oa=3Dsdan(0.02, 0.5, 1.1)

var i,ggeo,biggeo;
var geo=3DsuperellipsoidAnim(r1,r2,r3,n1,n2,16,16);
superellipsoidPointAnim(m.Mul(r1,da(3)),m.Mul(r1,da(3)),m.Mul(r1,da(3)),n=
3,n4,4,4);

for(i in p){
  g.push(geo.Transform(m.Translate3Point(p[i])));
}

biggeo=3Dm.UnionGeometryArray(g);
biggeo=3Dbiggeo.DiffuseColor(m.ColorRgb255(139,170,179)).SpecularColor(m.=
ColorRgb255(229,209,229)).SpecularExponent(100);

biggeo=3Dbiggeo.OpacityAnim(oa);

var ggeo=3Dbiggeo.Transform(
  m.Compose3Array(
    new Array(
      m.Scale3Uniform(0.01),
      m.Rotate3(m.YVector3, 0.52),
      m.Rotate3(m.XVector3, Math.PI/2-0.3),
      m.Rotate3Rate(m.ZVector3, -.2),
      m.Rotate3Rate(m.XVector3, -.17)
    )
  )              =20
)

var light0=3Dm.AmbientLight.LightColor(m.colorRgb(.1,.1,.21));
var light1=3Dm.DirectionalLight.Transform(m.Rotate3(m.YVector3, 0.5));
var light2=3Dm.PointLight.Transform(m.Translate3(-1,1,3));
var lights=3Dm.UnionGeometryArray(new Array(light0,light1,light2));

var camera=3Dm.PerspectiveCamera(.08,.0799);
var scene=3Dm.UnionGeometry(ggeo,lights).Render(camera);

DAControl.Image=3Dscene;
DAControl.Start();

function superellipsoidPointAnim(rx,ry,rz,k1,k2,ntheta,nphi){
//Parameters
//rx     : DANumber, size along x-axis
//ry     : DANumber, size along y-axis
//rz     : DANumber, size along z-axis
//k1     : DANumber, z-axis squareness (suggest 0.1<=3Dk1<=3D3.0)
//k2     : DANumber, x-y plane squareness (suggest 0.1<=3Dk2<=3D3.0)
//ntheta : integer,  steps about x/y axis
//nphi   : integer,  steps about z axis
//

  var x,y,z,i,j,theta,phi,nk1,nk2;
  var a1,a2,ct,st,pctk1,cp,sp;

  nk1=3Dm.Sub(da(2),k1);
  nk2=3Dm.Sub(da(2),k2);

  p.push(m.Point3Anim(da(0),da(0),m.Neg(rz)));
  for(i=3D0;i<ntheta;i++){
    theta=3D(i+1)*Math.PI/(ntheta+1)-Math.PI/2;// -PI/2 <=3D theta <=3D =
PI/2

    ct=3DMath.cos(theta);
    st=3DMath.sin(theta)
    pctk1=3DpowAnim(ct,k1);
    pctnk1=3DpowAnim(ct,nk1);
    a1=3Dm.Mul(rx,pctk1);
    a2=3Dm.Mul(ry,pctk1);
    z=3Dm.Mul(rz,powAnim(st,k1));

    for(j=3D0;j<nphi;j++){
      phi=3D2*j*Math.PI/(nphi)-Math.PI;// -PI <=3D phi <=3D PI
      cp=3DMath.cos(phi);
      sp=3DMath.sin(phi);
      x=3Dm.Mul(a1,powAnim(cp,k2));
      y=3Dm.Mul(a2,powAnim(sp,k2));
      p.push(m.Point3Anim(x,y,z));
    }
  }
  p.push(m.Point3Anim(da(0),da(0),rz));
}

function superellipsoidAnim(rx,ry,rz,k1,k2,ntheta,nphi){
/////////////////////////////////////
//                                 //
//   DA SuperEllipsoid Generator   //
//    Adaptive texture version     //
//         December 2001           //
//  http://www.mgifos.demon.co.uk  //
//      last evolved 29/12/01      //
//                                 //
/////////////////////////////////////
//
//Produces an animated mesh which approximates the spherical
//product of two superquadratic curves. Values of k1 and k2
//control which shape is produced - spheres, cuboids,
//ellipsoids, pillows, double cones, octohedra and others
//are possible.
//
//Parameters
//rx     : DANumber, size along x-axis
//ry     : DANumber, size along y-axis
//rz     : DANumber, size along z-axis
//k1     : DANumber, z-axis squareness (suggest 0.1<=3Dk1<=3D3.0)
//k2     : DANumber, x-y plane squareness (suggest 0.1<=3Dk2<=3D3.0)
//ntheta : integer,  steps about x/y axis
//nphi   : integer,  steps about z axis
//

  var n,x,y,z,nx,ny,nz,i,j,theta,phi,nk1,nk2,sc,sn;
  var a1,a2,ct,st,pctk1,cp,sp,pctnk1,nx1,ny1;

  var p=3Dnew Array();
  var u=3Dnew Array();
  var norm1=3Dnew Array();
  var pos=3Dnew Array();
  var surf=3Dnew Array();
  var norm=3Dnew Array();

  var tx=3Dnew Array();
  var sxt=3Dnew Array();
  var syt=3Dnew Array();
  var cumdistt=3Dnew Array();
  var dxt=3Dnew Array();
  var dyt=3Dnew Array();

  var ty=3Dnew Array();
  var sxp=3Dnew Array();
  var szp=3Dnew Array();
  var cumdistp=3Dnew Array();
  var dxp=3Dnew Array();
  var dzp=3Dnew Array();

  //texture coord positions for theta=3D0
  cumdistt[0]=3Dda(0);
  sxt[0]=3Dm.Neg(rx);
  syt[0]=3Dda(0);
  for(i=3D1;i<=3Dnphi;i++){
    phi=3D2*i*Math.PI/nphi-Math.PI;
    sxt[i]=3Dm.Mul(rx,powAnim(Math.cos(phi),k2));
    syt[i]=3Dm.Mul(ry,powAnim(Math.sin(phi),k2));
    dxt[i]=3Dm.Sub(sxt[i],sxt[i-1]);
    dyt[i]=3Dm.Sub(syt[i],syt[i-1]);
    =
cumdistt[i]=3Dm.Add(cumdistt[i-1],m.Sqrt(m.Add(m.Mul(dxt[i],dxt[i]),m.Mul=
(dyt[i],dyt[i]))))
  }
  for(i=3D0;i<=3Dnphi;i++)tx[i]=3Dm.Div(cumdistt[i],cumdistt[nphi]);

  //texture coord positions for phi=3D0
  cumdistp[0]=3Dda(0);
  sxp[0]=3Dda(0);
  szp[0]=3Dm.Neg(rz);
  for(i=3D1;i<=3Dntheta+1;i++){
    theta=3Di*Math.PI/(ntheta+1)-Math.PI/2;
    sxp[i]=3Dm.Mul(rx,powAnim(Math.cos(theta),k1));
    szp[i]=3Dm.Mul(rz,powAnim(Math.sin(theta),k1));
    dxp[i]=3Dm.Sub(sxp[i],sxp[i-1]);
    dzp[i]=3Dm.Sub(szp[i],szp[i-1]);
    =
cumdistp[i]=3Dm.Add(cumdistp[i-1],m.Sqrt(m.Add(m.Mul(dxp[i],dxp[i]),m.Mul=
(dzp[i],dzp[i]))))
  }
  =
for(i=3D0;i<=3Dntheta+1;i++)ty[i]=3Dm.Div(cumdistp[i],cumdistp[ntheta+1])=
;

  //Equations of superellipsoid:
  // x =3D rx * cos(theta)^k1 * cos(phi)^k2
  // y =3D ry * cos(theta)^k1 * sin(phi)^k2
  // z =3D rz * sin(theta)^k1
  // -pi/2<=3Dtheta<=3Dpi/2
  // -pi<=3Dphi<=3Dpi

  nk1=3Dm.Sub(da(2),k1);
  nk2=3Dm.Sub(da(2),k2);

  u.push(m.Point2Anim(da(0),da(0)));
  p.push(m.Point3Anim(da(0),da(0),m.Neg(rz)));
  norm1.push(m.Vector3Anim(da(0),da(0),da(-1)));
  for(i=3D0;i<ntheta;i++){
    theta=3D(i+1)*Math.PI/(ntheta+1)-Math.PI/2;// -PI/2 <=3D theta <=3D =
PI/2

    ct=3DMath.cos(theta);
    st=3DMath.sin(theta)
    pctk1=3DpowAnim(ct,k1);
    pctnk1=3DpowAnim(ct,nk1);
    pstnk1=3DpowAnim(st,nk1);
    a1=3Dm.Mul(rx,pctk1);
    a2=3Dm.Mul(ry,pctk1);
    z=3Dm.Mul(rz,powAnim(st,k1));
    nz=3Dm.Div(pstnk1,rz);
    nx1=3Dm.Div(pctnk1,rx);
    ny1=3Dm.Div(pctnk1,ry);

    for(j=3D0;j<nphi;j++){
      phi=3D2*j*Math.PI/(nphi)-Math.PI;// -PI <=3D phi <=3D PI
      cp=3DMath.cos(phi);
      sp=3DMath.sin(phi);
      x=3Dm.Mul(a1,powAnim(cp,k2));
      y=3Dm.Mul(a2,powAnim(sp,k2));
      nx=3Dm.Mul(nx1,powAnim(cp,nk2));
      ny=3Dm.Mul(ny1,powAnim(sp,nk2));
      u.push(m.Point2Anim(tx[j],ty[i+1]));
      p.push(m.Point3Anim(x,y,z));
      norm1.push(m.Vector3Anim(nx,ny,nz));
    }
  }

  u.push(m.Point2Anim(da(0),da(1)));
  p.push(m.Point3Anim(da(0),da(0),rz));
  norm1.push(m.Vector3Anim(da(0),da(0),da(1)));

  //end cap
  sc=3D0;
  sn=3D1;
  for(j=3D0;j<nphi;j++){
    surf.push(m.Point2Anim(tx[j],ty[1]));
    norm.push(norm1[sn+j]);
    pos.push(p[sn+j]);
    surf.push(m.Point2Anim(tx[j],ty[0]));
    norm.push(norm1[sc]);
    pos.push(p[sc]);
    if(j=3D=3Dnphi-1){
      surf.push(m.Point2Anim(tx[j+1],ty[1]));
      norm.push(norm1[sn]);
      pos.push(p[sn]);
    }
    else{
      surf.push(m.Point2Anim(tx[j+1],ty[1]));
      norm.push(norm1[sn+j+1]);
      pos.push(p[sn+j+1]);
    }
  }
  //body
  for(i=3D0;i<ntheta-1;i++){
    sc=3Di*nphi+1;
    sn=3Dsc+nphi;
    for(j=3D0;j<nphi;j++){
      surf.push(u[sn+j]);
      norm.push(norm1[sn+j]);
      pos.push(p[sn+j]);
      surf.push(u[sc+j]);
      norm.push(norm1[sc+j]);
      pos.push(p[sc+j]);
      if(j=3D=3Dnphi-1){
        surf.push(m.Point2Anim(da(1),ty[i+2]));
        norm.push(norm1[sn]);
        pos.push(p[sn]);
        surf.push(m.Point2Anim(da(1),ty[i+2]));
        norm.push(norm1[sn]);
        pos.push(p[sn]);
      }
      else{
        surf.push(u[sn+j+1]);
        norm.push(norm1[sn+j+1]);
        pos.push(p[sn+j+1]);
        surf.push(u[sn+j+1]);
        norm.push(norm1[sn+j+1]);
        pos.push(p[sn+j+1]);
      }
      surf.push(u[sc+j]);
      norm.push(norm1[sc+j]);
      pos.push(p[sc+j]);
      if(j=3D=3Dnphi-1){
        surf.push(m.Point2Anim(da(1),ty[i+1]));
        norm.push(norm1[sc]);
        pos.push(p[sc]);
      }
      else{
        surf.push(u[sc+j+1]);
        norm.push(norm1[sc+j+1]);
        pos.push(p[sc+j+1]);
      }
    }
  }
  //end cap
  sc=3D(ntheta-1)*nphi+1;
  sn=3Dntheta*nphi+1;
  for(j=3D0;j<nphi;j++){
    surf.push(m.Point2Anim(tx[j],ty[ntheta+1]));
    norm.push(norm1[sn]);
    pos.push(p[sn]);
    surf.push(m.Point2Anim(tx[j],ty[ntheta]));
    norm.push(norm1[sc+j]);
    pos.push(p[sc+j]);
    if(j=3D=3Dnphi-1){
      surf.push(m.Point2Anim(tx[j+1],ty[ntheta]));
      norm.push(norm1[sc]);
      pos.push(p[sc]);
    }
    else{
      surf.push(m.Point2Anim(tx[j+1],ty[ntheta]));
      norm.push(norm1[sc+j+1]);
      pos.push(p[sc+j+1]);
    }
  }

  var geo=3Dm.TriMesh(pos.length/3,pos,norm,surf,null);
  return(geo);
}

function sign(n){
  var a=3D(n>=3D0)?1:-1;
  return(a);
}

function powAnim(a,b){
  return(m.Mul(da(sign(a)),m.Pow(da(Math.abs(a)),b)));
}

function da(n){
  return m.DANumber(n);
}

function sdan(min,max,rate){
  var a=3D(max-min)/2;
  var b=3Da+min;
  =
return(m.Add(m.DANumber(b),m.Mul(m.DANumber(a),m.Sin(m.Mul(m.Localtime,m.=
DANumber(rate))))))
}

</SCRIPT>

<SCRIPT language=3DJavaScript><!--
ScrollSpeed =3D 300; // milliseconds between scrolls
ScrollChars =3D 310; // chars scrolled per time period
=20
function SetupTicker() {
// Thanks to who ever created this Java script!
msg=3D"Moteur d'Evolve, sc=E9nario de Ginette Villeneuve publi=E9 dans =
sa chronique : http://planete.qc.ca/invitation/";
RunTicker();}
function RunTicker() {
window.setTimeout('RunTicker()',ScrollSpeed);
window.status =3D msg;
msg =3D msg.substring(ScrollChars) + msg.substring(0,ScrollChars);}
SetupTicker();
<!-- end
// -->
</SCRIPT>
</BODY></HTML>

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