import flash.geom.Vector3D;
import flash.geom.Matrix3D;

var topLeft:Vector3D = new Vector3D(-20, -20, 0);
var topRight:Vector3D = new Vector3D(100, -20, 0);
var bottomRight:Vector3D = new Vector3D(100, 100, 0);
var bottomLeft:Vector3D = new Vector3D(-20, 100, 0);

function draw():void{
    graphics.beginFill(0xFF0000);
    graphics.drawCircle(topLeft.x, topLeft.y, 4);
    graphics.drawCircle(topRight.x, topRight.y, 4);
    graphics.drawCircle(bottomRight.x, bottomRight.y, 4);
    graphics.drawCircle(bottomLeft.x, bottomLeft.y, 4);
}

var matrix:Object = {};
matrix.m11 = 1; matrix.m12 = 0; matrix.m13 = 0;
matrix.m21 = 0; matrix.m22 = 1; matrix.m23 = 0;
matrix.m31 = 0; matrix.m32 = 0; matrix.m33 = 1;

setupScale(0.5, 0.5);
setupRotation(10 * Math.PI / 180);
setupTranslation(100, 100);

topLeft = transformVector(topLeft);
topRight = transformVector(topRight);
bottomRight = transformVector(bottomRight);
bottomLeft = transformVector(bottomLeft);

draw();

function setupScale(xScale:Number, yScale:Number):void {
    matrix.m11 *= xScale;
    matrix.m22 *= yScale;
}

function setupRotation(ang:Number):void {
    var sin:Number = Math.sin(ang);
    var cos:Number = Math.cos(ang);

    matrix.m11 *= cos;    matrix.m12 = -sin;
    matrix.m21 = sin;     matrix. m22 *= cos;
}

function setupTranslation(x:Number, y:Number):void{
    matrix.m31 = x;        matrix.m32 = y;
}

function transformVector(v:Vector3D):Vector3D{
    return new Vector3D(v.x * matrix.m11 + v.y * matrix.m21 + matrix.m31, v.x * matrix.m12 + v.y * matrix.m22 + matrix.m32);
}