//u must be sure that the mc has no rect angle
class TTriangle {
	var id:String;
	var vset:Array;
	//The Ids of the involved points in the set Of Vertex
	var v:Array;
	//Set of the Points(Vertex);
	var back:MovieClip;
	//the host MovieClip
	var dir:TVector3D;
	//The direction of the positive side;
	var vt1:TVector;
	var vt2:TVector;
	function TTriangle(v1:Array, vset1:Array, vt1_1:TVector, vt2_1:TVector, id1:String, dir1:TVector3D, back1:MovieClip) {
		v = v1;
		id = id1;
		vset = vset1;
		dir = dir1;
		back = back1;
		vt1 = vt1_1;
		vt2 = vt2_1;
	}
	public function render(dist:Number) {
		if (dist == undefined) {
			dist = 300;
		}
		var v1;
		var vt;
		v1 = [];
		vt = [];
		vt[0] = new TVector(0, 0);
		vt[1] = vt1.getCopy();
		vt[2] = vt2.getCopy();
		for (var i = 0; i<=2; i++) {
			v1[i] = new TVector();
			//trace(v[vset[i]].getPerspective(dist));
			v1[i] = v[vset[i]].to2d(v[vset[i]].getPerspective(dist));
		}
		back.createEmptyMovieClip(id, 1);
		back[id].createEmptyMovieClip(id, 1);
		back[id][id].createEmptyMovieClip(id, 1);
		back[id][id][id].createEmptyMovieClip(id, 1);
		back[id][id][id][id].createEmptyMovieClip(id, 1);
		back[id]._x = v1[0].x;
		back[id]._y = v1[0].y;
		back[id][id][id][id].attachMovie(id, id, 0, {_visible:false});
		var l = Number;
		var vi1 = new TVector();
		//vi1 = v1[1].minus(v1[0]);
		var vi2 = new TVector();
		//vi2 = v1[2].minus(v1[0]);
		var vi3 = new TVector();
		//vi3 = v1[2].minus(v1[1]);
		var k:Number = 0;
		var a = new TVector();
		var b = new TVector();
		for (var i = 2; i>=0; i--) {
			k = 0;
			//back[id][id][id]._x = -vt[i].x;
			//back[id][id][id]._y = -vt[i].y;
			for (var j = 0; j<=2; j++) {
				if (i != j) {
					k++;
					if (k == 1) {
						vi1 = v1[j].minus(v1[i]);
						a = vt[j].minus(vt[i]);
					} else if (k == 2) {
						vi2 = v1[j].minus(v1[i]);
						b = vt[j].minus(vt[i]);
					}
				}
			}
			if (vi1.dotpro(vi2)<=0) {
				break;
			}
		}
		if (zero(vi1.dotpro(vi2)+Math.sqrt(vi1.len2()*vi2.len2()))) {
			return 0;
		}
		var r:Number = i+1;
		var tv = new TVector();
		var vi3 = new TVector();
		var hi = new TVector();
		vi3 = vi2.minus(vi1);
		hi = vi3.getCopy();
		hi.scale(-vi1.dotpro(vi3)/vi3.len2());
		hi = hi.plus(vi1);
		hi.unitize();
		var t1:Number = vi1.dotpro(hi);
		var t2:Number = vi1.dotpro(hi);
		var t0:Number = vi1.dotpro(vi2);
		t1 = t1*t2;
		var lemti = Math.sqrt(t1/(t1-t0));
		t1 = 1-lemti;
		tv = hi.getCopy();
		tv.scale(t1*tv.dotpro(vi1));
		var vx1 = new TVector(lemti*vi1.x, lemti*vi1.y);
		vx1 = vx1.plus(tv);
		tv = hi.getCopy();
		tv.scale(t1*tv.dotpro(vi2));
		var vx2 = new TVector(lemti*vi2.x, lemti*vi2.y);
		vx2 = vx2.plus(tv);
		var c = new TVector();
		var h = new TVector();
		c = b.minus(a);
		h = c.getCopy();
		h.scale(-a.dotpro(c)/c.len2());
		h = h.plus(a);
		h.unitize();
		var t1:Number = a.dotpro(h);
		var t2:Number = b.dotpro(h);
		var t0:Number = a.dotpro(b);
		t1 = t1*t2;
		var lemt = Math.sqrt(t1/(t1-t0));
		t1 = 1-lemt;
		tv = h.getCopy();
		tv.scale(t1*h.dotpro(a));
		var vy1 = new TVector(lemt*a.x, lemt*a.y);
		vy1 = vy1.plus(tv);
		tv = h.getCopy();
		tv.scale(t1*tv.dotpro(b));
		var vy2 = new TVector(lemt*b.x, lemt*b.y);
		vy2 = vy2.plus(tv);
		t0 = Math.atan2(h.x, h.y)/Math.PI*180;
		back[id][id][id][id][id]._rotation = t0;
		back[id][id][id][id]._xscale *= lemt;
		t0 = Math.atan2(vy1.x, vy1.y)/Math.PI*180;
		back[id][id][id][id]._rotation = t0-Math.atan2(h.x, h.y)/Math.PI*180;
		vy1.rotate(t0);
		vy2.rotate(t0);
		/*back[id].lineStyle(1,0xFF0000,100);
				back[id].moveTo(0,0);
				back[id].lineTo(vy1.x,vy1.y);*/
		t1 = Math.sqrt(vx2.len2()/vy2.len2());
		t2 = Math.sqrt(vx1.len2()/vy1.len2());
		back[id][id][id]._xscale *= t1;
		back[id][id][id]._yscale *= t2;
		vy1.scale(t2);
		vy2.scale(t1);
		tv = vy2.minus(vy1);
		var t0 = Math.atan2(tv.x, tv.y)/Math.PI*180;
		back[id][id]._rotation = t0;
		vy1.rotate(t0);
		vy2.rotate(t0);
		tv.rotate(t0);
		back[id]._yscale *= (1/lemti);
		if (vi1.crosspro(vi2)>0) {
			t1 = 1;
		} else {
			t1 = -1;
		}
		if (vy1.crosspro(vy2)>0) {
			t2 = 1;
		} else {
			t2 = -1;
		}
		if (t1 != t2) {
			back[id]._yscale *= -1;
		}
		var h = new TVector();
		h = tv.getCopy();
		h.scale(-vy1.dotpro(tv)/tv.len2());
		h = h.plus(vy1);
		back[id]._rotation = -(Math.atan2(hi.x, hi.y)-Math.atan2(h.x, h.y))/Math.PI*180;
		back[id][id][id][id][id]._visible = true;
		/*var ang:Number = Math.PI*0.499;
								var cos:Number = Math.cos(ang);
								var sin:Number = Math.sin(ang);
								var u = new TVector(cos, sin);
								var vt3 = new TVector();
								vt3 = vt2.minus(vt1);
								var a:Number = vt1.dotpro(u)*cos;
								var e:Number = vt1.x-a;
								var b:Number = vt3.dotpro(u)*cos;
								var f:Number = vt2.x-vt1.x-b;
								var c:Number = vt1.dotpro(u)*sin;
								var g:Number = vt1.y-c;
								var d:Number = ((vt2.x-vt1.x)*cos+(vt2.y-vt1.y)*sin)*sin;
								var h:Number = vt2.y-vt1.y-d;
								var t1:Number = e*f+g*h-k*f*f-k*h*h;
								var t2:Number = e*b+a*f+g*d+c*h-2*k*b*f-2*k*h*d;
								var t3:Number = a*b+c*d-k*b*b-k*d*d;
								a = t1;
								b = t2;
								c = t3;
								if (b*b-4*a*c>0) {
									if (a<0) {
										a *= -1;
										b *= -1;
										c *= -1;
									}
									var lemt:Number = (-b+Math.sqrt(b*b-4*a*c))/(2*a);
									
								} else if (zero(b*b-4*a*c)) {
									var lemt:Number = (-b)/(2*a);
								} else {
									var lemt:Number = (-b+Math.sqrt(b*b-4*a*c))/(2*a);
									//trace(lemt);
									trace(a);
									trace(b);
									trace(c);
									trace("k= "+k);
								}
								back[id][id][id]._rotation = 90-ang/Math.PI*180;
								back[id][id]._xscale = lemt*100;
								var vy1 = new TVector();
								var vh1 = u.getCopy();
								vh1.scale(vt1.dotpro(u));
								vh1.scale(1-lemt);
								vy1 = vt1.getCopy();
								vy1.scale(lemt);
								vy1 = vy1.plus(vh1);
								var vy2 = new TVector();
								vh1 = u.getCopy();
								vh1.scale(vt2.dotpro(u));
								vh1.scale(1-lemt);
								vy2 = vt2.getCopy();
								vy2.scale(lemt);
								vy2 = vy2.plus(vh1);
								var vy3 = new TVector();
								var vh2 = new TVector();
								vy3 = vy2.minus(vy1);
								vh2 = vy3.getCopy();
								vh2.scale(-vy1.dotpro(vy3)/vy3.len2());
								vh2 = vh2.plus(vy1);
								back[id][id]._rotation = -90+ang/Math.PI*180;
								vh1 = vi3.getCopy();
								vh1.scale(-.dotpro(vi3)/vi3.len2());
								vh1 = vh1.plus(vi1);
								var fix:Number = Math.sqrt(vi3.len2()/vy3.len2());
								back[id][id]._xscale *= fix;
								back[id][id]._yscale *= fix;
								back[id][id]._rotation += Math.atan2(vh2.x, vh2.y)/Math.PI*180;
								back[id]._yscale *= Math.sqrt(vh1.len2()/vh2.len2())/fix;
								back[id]._rotation = -Math.atan2(vh1.x, vh1.y)/Math.PI*180;
								if (vi1.crosspro(vi2)>0) {
									t1 = 1;
								} else {
									t1 = -1;
								}
								if (vy1.crosspro(vy2)>0) {
									t2 = 1;
								} else {
									t2 = -1;
								}
								if (t1 != t2) {
									back[id]._xscale *= -1;
								}
								back[id][id][id]._visible = 1;*/
	}
	static function zero(x:Number):Boolean {
		if (Math.abs(x)<1e-5) {
			return true;
		} else {
			return false;
		}
	}
	public function rotate(x1:Number, y1:Number, z1:Number) {
		dir.rotate(x1, y1, z1);
	}
}