/**
* Copyright yonatan ( http://wonderfl.net/user/yonatan )
* MIT License ( http://www.opensource.org/licenses/mit-license.php )
* Downloaded from: http://wonderfl.net/c/Az4e
*/
package {
import flash.display.*;
import flash.events.*;
import flash.geom.*;
import flash.utils.*;
[SWF(width="465", height="465")]
public class main extends Sprite {
private const MIN_THICKNESS:Number = 1;
private const LINE_WIDTH:Number = 80;
private const BRANCH_SCALE:Number = 0.75;
private const VS:Number = 300; // viewport size
private const HVS:Number = VS/2;
private const SS:Number = 465; // stage size
private var sigl:SiGLCore = new SiGLCore;
public function main() {
x = y = SS/2;
sigl.fieldOfView = 45;
sigl.setZRange(-10, 10);
addEventListener("enterFrame", onEnterFrame);
}
private function onEnterFrame(e:Event):void {
graphics.clear();
sigl.id().t(0, 0.3, Math.sin(getTimer()/1234)-0.66).r(getTimer()/100, Vector3D.Y_AXIS).r(Math.sin(getTimer()/567)*20, Vector3D.Z_AXIS);
render(0.3);
graphics.lineStyle(1, 0xff8080);
graphics.drawRect(-HVS, -HVS, VS, VS);
}
private var p1:Vector3D = new Vector3D, p2:Vector3D = new Vector3D;
private function render(size:Number):void {
sigl.push();
p1 = Utils3D.projectVector(sigl.projectionMatrix, sigl.matrix.position);
if(p1.x > -1 && p1.x < 1 && p1.y > -1 && p1.y < 1 && p1.z > -1 && p1.z < 1) {
size *= BRANCH_SCALE;
sigl.t(0, -size, 0);
p2 = Utils3D.projectVector(sigl.projectionMatrix, sigl.matrix.position);
var thickness:Number = size * LINE_WIDTH / ((p1.w+p2.w)/2);
if(thickness > MIN_THICKNESS) {
graphics.lineStyle(thickness, 0, (thickness-MIN_THICKNESS)/2, false, "normal", "none");
graphics.moveTo(p1.x * HVS, p1.y * HVS);
graphics.lineTo(p2.x * HVS, p2.y * HVS);
sigl.r(120, Vector3D.Y_AXIS).r(-30, Vector3D.X_AXIS);
render(size);
sigl.r(70, Vector3D.X_AXIS);
render(size);
}
}
sigl.pop();
}
}
}
import flash.geom.*;
// useful stuff by keim_at_Si (i think i copied it from the boolean crystals demo)
/** SiGLCore provides basic matrix operations. */
class SiGLCore {
// variables ----------------------------------------
public var modelViewMatrix:SiGLMatrix = new SiGLMatrix(), projectionMatrix:SiGLMatrix = new SiGLMatrix();
public var viewWidth:Number, viewHeight:Number, pointSpriteFieldScale:Point = new Point();
public var defaultCameraMatrix:SiGLMatrix = new SiGLMatrix(), matrix:SiGLMatrix = modelViewMatrix;
private var _mvpMatrix:SiGLMatrix = new SiGLMatrix(), _mvpdir:Boolean, _2d:Number, _2r:Number;
private var _mag:Number, _zNear:Number, _zFar:Number, _fieldOfView:Number, _alignTopLeft:Boolean = false;
// properties ----------------------------------------
public function get modelViewProjectionMatrix() : SiGLMatrix {
if (_mvpdir) {
_mvpMatrix.copyFrom(projectionMatrix);
_mvpMatrix.prepend(modelViewMatrix);
_mvpdir = false;
}
return _mvpMatrix;
}
public function get align() : String { return (_alignTopLeft) ? "topLeft" : "center"; }
public function set align(mode:String) : void { _alignTopLeft = (mode == "topLeft"); _updateProjectionMatrix(); }
public function get matrixMode() : String { return (matrix === projectionMatrix) ? "projection" : "modelView"; }
public function set matrixMode(mode:String) : void { matrix = (mode == "projection") ? projectionMatrix : modelViewMatrix; }
public function get angleMode() : String { return (_2r == 1) ? "radian" : "degree"; }
public function set angleMode(mode:String) : void { _2d = (mode == "radian") ? 57.29577951308232 : 1; _2r = (mode == "radian") ? 1 : 0.017453292519943295; }
public function get fieldOfView() : Number { return _fieldOfView / _2r; }
public function set fieldOfView(fov:Number) : void { _fieldOfView = fov * _2r; _updateProjectionMatrix(); }
public function get magnification() : Number { return _mag; }
public function set magnification(mag:Number) : void { _mag = mag; _updateProjectionMatrix(); }
// constructor ----------------------------------------
function SiGLCore(width:Number=1, height:Number=1) {
viewWidth = width; viewHeight = height;
angleMode = "degree"; _mag = 1;
_zNear = -1000; _zFar = 200;
modelViewMatrix.identity();
_mvpdir = true;
this.fieldOfView = 60;
}
// matrix operations ----------------------------------------
public function forceUpdateMatrix() : SiGLCore { _mvpdir = true; return this; }
public function setZRange(zNear:Number=-100, zFar:Number=100) : SiGLCore { _zNear = zNear; _zFar = zFar; _updateProjectionMatrix(); return this; }
public function clear() : SiGLCore { matrix.clear(); _mvpdir = true; return this; }
public function id() : SiGLCore { matrix.id(); _mvpdir = true; return this; }
public function push() : SiGLCore { matrix.push(); return this; }
public function pop() : SiGLCore { matrix.pop(); _mvpdir = true; return this; }
public function rem() : SiGLCore { matrix.rem(); _mvpdir = true; return this; }
public function r(a:Number, axis:Vector3D, pivot:Vector3D = null) : SiGLCore { matrix.prependRotation(a*_2d, axis, pivot); matrix._invdir = _mvpdir = true; return this; }
public function s(x:Number, y:Number, z:Number=1) : SiGLCore { matrix.prependScale(x, y, z); matrix._invdir = _mvpdir = true; return this; }
public function t(x:Number, y:Number, z:Number=0) : SiGLCore { matrix.prependTranslation(x, y, z); matrix._invdir = _mvpdir = true; return this; }
public function m(mat:Matrix3D) : SiGLCore { matrix.prepend(mat); matrix._invdir = _mvpdir = true; return this; }
public function re(x:Number, y:Number, z:Number) : SiGLCore { matrix.prependRotationXYZ(x*_2r, y*_2r, z*_2r); _mvpdir = true; return this; }
public function setCameraMatrix(mat:Matrix3D=null) : SiGLCore { projectionMatrix.rem().prepend(mat || defaultCameraMatrix); _mvpdir = true; return this; }
private function _updateProjectionMatrix() : void {
var wh:Number = viewWidth / viewHeight, rev:Number = (_alignTopLeft)?-1:1,
fl:Number = (viewHeight * 0.5) / Math.tan(_fieldOfView * 0.5);
if (_zNear <= -fl) _zNear = -fl + 0.001;
projectionMatrix.clear().perspectiveFieldOfView(_fieldOfView, wh, _zNear+fl, _zFar+fl, -1);
pointSpriteFieldScale.setTo(projectionMatrix.rawData[0] * fl, projectionMatrix.rawData[5] * fl);
projectionMatrix.push();
defaultCameraMatrix.identity();
defaultCameraMatrix.prependTranslation(0, 0, -fl);
if (_alignTopLeft) defaultCameraMatrix.prependTranslation(viewWidth* 0.5, -viewHeight * 0.5, 0);
defaultCameraMatrix.prependScale(_mag, _mag * rev, _mag * rev);
setCameraMatrix();
}
}
/** SiGLMatrix is extention of Matrix3D with push/pop operation */
class SiGLMatrix extends Matrix3D {
internal var _invdir:Boolean = false, _inv:Matrix3D = new Matrix3D(), _stac:Vector.<Matrix3D> = new Vector.<Matrix3D>();
static private var _tv:Vector.<Number> = new Vector.<Number>(16, true), _tm:Matrix3D = new Matrix3D();
static private var _in:Vector.<Number> = new Vector.<Number>(4, true), _out:Vector.<Number> = new Vector.<Number>(4, true);
public function get inverted() : Matrix3D { if (_invdir) { _inv.copyFrom(this); _inv.invert(); _invdir = false; } return _inv; }
public function forceUpdateInvertedMatrix() : SiGLMatrix { _invdir=true; return this; }
public function clear() : SiGLMatrix { _stac.length=0; return id(); }
public function id() : SiGLMatrix { identity(); _inv.identity(); return this; }
public function push() : SiGLMatrix { _stac.push(this.clone()); return this; }
public function pop() : SiGLMatrix { this.copyFrom(_stac.pop()); _invdir=true; return this; }
public function rem() : SiGLMatrix { this.copyFrom(_stac[_stac.length-1]); _invdir=true; return this; }
public function prependRotationXYZ(rx:Number, ry:Number, rz:Number) : SiGLMatrix {
var sx:Number = Math.sin(rx), sy:Number = Math.sin(ry), sz:Number = Math.sin(rz),
cx:Number = Math.cos(rx), cy:Number = Math.cos(ry), cz:Number = Math.cos(rz);
_tv[0] = cz*cy; _tv[1] = sz*cy; _tv[2] = -sy; _tv[4] = -sz*cx+cz*sy*sx; _tv[5] = cz*cx+sz*sy*sx;
_tv[6] = cy*sx; _tv[8] = sz*sx+cz*sy*cx; _tv[9] = -cz*sx+sz*sy*cx;
_tv[10] = cy*cx; _tv[14] = _tv[13] = _tv[12] = _tv[11] = _tv[7] = _tv[3] = 0; _tv[15] = 1;
_tm.copyRawDataFrom(_tv); prepend(_tm); _invdir=true;
return this;
}
public function lookAt(cx:Number, cy:Number, cz:Number, tx:Number=0, ty:Number=0, tz:Number=0, ux:Number=0, uy:Number=1, uz:Number=0, w:Number=0) : SiGLMatrix {
var dx:Number=tx-cx, dy:Number=ty-cy, dz:Number=tz-cz, dl:Number=-1/Math.sqrt(dx*dx+dy*dy+dz*dz),
rx:Number=dy*uz-dz*uy, ry:Number=dz*ux-dx*uz, rz:Number=dx*uy-dy*ux, rl:Number= 1/Math.sqrt(rx*rx+ry*ry+rz*rz);
_tv[0] = (rx*=rl); _tv[4] = (ry*=rl); _tv[8] = (rz*=rl); _tv[12] = -(cx*rx+cy*ry+cz*rz) * w;
_tv[2] = (dx*=dl); _tv[6] = (dy*=dl); _tv[10] = (dz*=dl); _tv[14] = -(cx*dx+cy*dy+cz*dz) * w;
_tv[1] = (ux=dy*rz-dz*ry); _tv[5] = (uy=dz*rx-dx*rz); _tv[9] = (uz=dx*ry-dy*rx); _tv[13] = -(cx*ux+cy*uy+cz*uz) * w;
_tv[3] = _tv[7] = _tv[11] = 0; _tv[15] = 1; copyRawDataFrom(_tv); _invdir=true;
return this;
}
public function perspectiveFieldOfView(fieldOfViewY:Number, aspectRatio:Number, zNear:Number, zFar:Number, lh:Number=1.0) : void {
var yScale:Number = 1.0 / Math.tan(fieldOfViewY * 0.5), xScale:Number = yScale / aspectRatio;
this.copyRawDataFrom(Vector.<Number>([xScale,0,0,0,0,yScale,0,0,0,0,zFar/(zFar-zNear)*lh,lh,0,0,(zNear*zFar)/(zNear-zFar),0]));
}
public function transform(vector:Vector3D) : Vector3D {
_in[0] = vector.x; _in[1] = vector.y; _in[2] = vector.z; _in[3] = vector.w;
transformVectors(_in, _out); vector.setTo(_out[0], _out[1], _out[2]); vector.w = _out[3];
return vector;
}
}
