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The code is densely packed, although you ll see that it s full of the usual suspects. I ve listed enterFrameHandler here, with comments to help you see how it all fits together. private function enterFrameHandler(event:Event):void { //Update c1 (player's circle) _c1.update(); StageBoundaries.bounce(_c1, stage); //Update c2 _c2.update(); StageBoundaries.bounce(_c2, stage); //Vector between circles var v0:VectorModel = new VectorModel ( _c1.xPos, _c1.yPos, _c2.xPos, _c2.yPos ); //c1's motion vector var v1:VectorModel = new VectorModel ( _c1.xPos, _c1.yPos, _c1.xPos + _c1.vx, _c1.yPos + _c1.vy ); //c2's motion vector var v2:VectorModel = new VectorModel ( _c2.xPos, _c2.yPos, _c2.xPos + _c2.vx, _c2.yPos + _c2.vy );

Only the NonNullValidator, ObjectCollectionValidator and Composite validators may be used at the class level, all others must be used on the member level. The value of the field is validated. Only the value of the get property is validated. Attribute-based validation of methods will validate the returned object of a method and the method must not contain any arguments. The Validation Application Block can only support attribute-based validation of parameters via Policy Injection Application Block which is discussed in 13.

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//Two motion vectors are difficult to deal with. //Simplify this problem //by creating a new vector, v3 var v3:VectorModel = new VectorModel ( 0,0,0,0, _c1.vx - _c2.vx, _c1.vy - _c2.vy ); //Project v0 onto v3. //This gives you the closest //point of c1 to c2 var p1:VectorModel = VectorMath.project(v0, v3); //Plot a vector from p1.b to the center of c2 var v4:VectorModel = new VectorModel ( _c1.xPos + p1.vx, _c1.yPos + p1.vy, _c2.xPos, _c2.yPos ); //Calculate the radii of both circles combined var totalRadii:Number = _c1.radius + _c2.radius; //Find the difference between the total radii //and the magnitude of v4 var difference:Number = totalRadii - v4.m; if(difference > 0) { //Possible collision! c1 is in a trajectory that may //intersect with c2. Let's find out if it does. var overlap:Number = Math.sqrt(totalRadii * totalRadii - v4.m * v4.m); //Find the possible new position for c1 var new_X:Number = v4.a.x - overlap * v3.dx; var new_Y:Number = v4.a.y - overlap * v3.dy; //Create a vector between v1.a and the new x and y points var v5:VectorModel = new VectorModel(_c1.xPos, _c1.yPos, new_X, new_Y);

The Validation Application Block comes with quite a few validators that you can start using right out of the box. Validators can be grouped into three main categories: Object validators determine the rules to validate based on the object s type. Composite validators take the results of other validators and return the proper validation results based on the type of composite validator and the results returned from the other validators. Basic validators are the most direct form of validator. They validate rules specified by the validator itself. For example, a validator that tests for a range value will validate to true if the object being tested is between the high-range value and the low-range value.

//Find the dot product between v0 and v1 var dp:Number = VectorMath.dotProduct2(v5, v1); if(v5.m < v3.m && dp > 0) { //The motion vectors will intersect in the next frame //so the circles will definitely collide var ratio:Number = v5.m / v3.m; //Move the circles to the collision point _c1.setX = _c1.xPos + ratio * _c1.vx; _c1.setY = _c1.yPos + ratio * _c1.vy; _c2.setX = _c2.xPos + ratio * _c2.vx; _c2.setY = _c2.yPos + ratio * _c2.vy; //Bounce them apart //Project v1 onto v0 and v0.ln var p1a:VectorModel = VectorMath.project(v1, v0); var p1b:VectorModel = VectorMath.project(v1, v0.ln); //Project v2 onto v0 and v0.ln var p2a:VectorModel = VectorMath.project(v2, v0); var p2b:VectorModel = VectorMath.project(v2, v0.ln); //Mix and match the results of p1 and p2 to //find the correct bounce vectors //Bounce c1 //p1b and p2a _c1.vx = p1b.vx + p2a.vx; _c1.vy = p1b.vy + p2a.vy; //Bounce c2 //p1a and p2b _c2.vx = p1a.vx + p2b.vx; _c2.vy = p1a.vy + p2b.vy; } } } Although it solves the problem, there are two flaws in this system: Because velocity is calculated only when the circles start to move, the collision detection starts in the second frame of movement. This means that a collision could be missed if the objects are very close together before they start moving. Because it s dependent on velocity calculations, the collision detection starts to fall apart at low speeds.

var client = new ClientCommunicator(); client.baseURL = "/ajax/chap08/PrimeNumberHandler.ashx"; </script> </head> <body> <button onclick="StartCommunications()">Start Communications</button> <button onclick="EndCommunications()">End Communications</button> <table border="1"> <tr> <td>Number</td> <td><input type="text" size="10" id="number1" /></td> <td><button onclick="SendData1()">Send Data</button></td> </tr> <tr> <td colspan="4"><span id="result1">No Result</span></td> </tr> <tr> <td>Number</td> <td><input type="text" size="10" id="number2" /></td> <td><button onclick="SendData2()">Send Data</button></td> </tr>