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To check whether the squares are intersecting, we don t need to check all four sides of each square against all four sides of the other square. We just need to check whether the sides of the squares are intersecting on the two axes. To do this, we need to use projection. We must project each square onto the x and y axes. You ll recall from 2 that the projection of a shape is the shadow that it casts if you were standing behind it shining a light. In this case, each square needs to cast two shadows: one shadow onto the x axis and another onto the y axis. Figure 4-2 illustrates this. How can we use these projections to find out whether the squares are intersecting The SAT says that if the projections of the shapes don t overlap on any axes, then the shapes don t overlap. Bingo! That pretty much sums up Figure 4-2. You can clearly see that the projections don t overlap at all. How will our SAT pseudo code handle this no collision condition First, it will check for any overlaps on the x axis. It finds none, so it knows that there is no collision. It can skip a whole block of code and jump straight to the end. The code in bold indicates the code that s being triggered. if(the squares overlap on the x axis) //They don't { //There might be a collision! Let's check: if(the squares overlap on the y axis) { //The squares overlap in both axes, so //there's definitely a collision. The collision is occurring on //the axis with the smallest amount of overlap } else { //There's no overlap on the y axis, so there's no collision } }

For the scope of this section, the ServerCommunicator will be implemented by using a Java servlet. However, an ASP.NET handler that implements the IHttpHandler interface could have been used. What is important is the association of a resource and its children with a piece of functionality. So, for example, if the URL /resource is associated with a Java servlet, the URL /resource/sub/resource is also processed by the same Java servlet. The idea is that a single handler responds to processing a server-side resource. The following is an implementation of the Java servlet that processes the resource /ajax/ chap06/status, representing the base URL used by the client: import import import import import import javax.servlet.http.*; javax.servlet.*; java.io.*; java.util.*; devspace.book.*; devspace.book.definitions.*;

Figure 12-12. EnumConversionValidatorAttribute class diagram of public members Listing 12-5 shows an example of using EnumConversionValidatorAttribute. Listing 12-5. Using the EnumConversionValidatorAttribute Class public class MyClass { private string m_MyEnumValue; [EnumConversionValidator(typeof(System.DayOfWeek))] public string MyEnumValue { get { return m_MyEnumValue; } set { m_MyEnumValue = value; } } }

else { //There's no overlap on the x axis, so there's no collision }

Figure 4-2. Project the squares onto the x and y axes. This is why using the SAT is so efficient: it doesn t do any extra checking. So what happens if the squares overlap on the x axis Let s find out. In Figure 4-3, you can see that the top square has moved to the left. The projections of both squares are now overlapping on the x axis.

TypeConversionValidator The TypeConversionValidator class is very much like the EnumConversionValidator class. It takes a string and attempts to convert it to a specific type of object using the TryParse method of that specific object type. Figure 12-13 shows the public constructors available

public class GlobalStatus extends HttpServlet implements SingleThreadModel { static String _buffer; static long _callCount;

Figure 4-3. The projections overlap on the x axis. Of course, you can see that even though they overlap on the x axis, the squares still don t intersect. Let s see if our SAT pseudo code agrees with us. if(the squares overlap on the x axis) //They do { //There might be a collision! Let's check: if(the squares overlap on the y axis) //They don't { //The squares overlap in both axes, so //there's definitely a collision. The collision is occurring on //the axis with the smallest amount of overlap } else { //There's no overlap on the y axis, so there's no collision } }

for the TypeConversionValidator class. The associated attribute class, TypeConversionValidatorAttribute, contains only one constructor that takes a specific type as a parameter.

else { //There's no overlap on the x axis, so there's no collision } Yes, it does agree with us! It detects the overlap on the x axis, and then goes on to check for an overlap on the y axis. It doesn t find any, so it correctly determines that there s no collision. Now let s push the example further and see what happens when the squares overlap on the y axis as well. As you can see in Figure 4-4, the shapes are now clearly intersecting.