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In our examples, we re going to be using a formula for calculating distances called the great circle distance formula. This formula calculates the distance between two coordinates on a spherical surface in this case, the Earth.4 The great circle distance formula states that the distance (d) between two points (x1,y1) and (x2,y2), where the x values are latitude and the y values are longitude, on a sphere of radius r can be determined by this calculation: d = acos ( sin(x1) * sin(x2) + cos(x1) * cos(x2) * cos(y2- y1) ) * r The formula assumes that the latitude and longitude values are in radians. However, the latitude and longitude values available in the Census Bureau data were in degrees, not radians. You can see this in the initial design of our ZCTA table, shown in Listing 8-36. Listing 8-36. Initial Design for the ZCTA Table CREATE TABLE ZCTA ( zcta CHAR(6) NOT NULL , lat_degrees DECIMAL(9,6) NOT NULL , long_degrees DECIMAL (9,6) NOT NULL , PRIMARY KEY(zcta));

Figure 1-3. A rotating colored cube The scene graph for this application is given in Figure 1-4.

The main reason is for performance. Our test project has a single graphic file, but full games can contain dozens of content files. Each time the project is compiled, all these files need to be processed by XNA in order to put them into a form that it can use. The content tends to be modified fairly infrequently, but the program code is modified in virtually every build. Putting the content into a separate project means that the processing of this content need only be performed each time the content actually changes, speeding up compile time for all the rest of the compilations. Another benefit of a Content project is that it allows you to separate the content for different hardware targets. You may well want to use larger graphics on an Xbox version of a game than on a Windows Phone version, and maybe even larger still for high-end PC versions. Using separate Content projects allows you to create a project for each and keep the same code in your main game project. If you have content that you wish to share between multiple games (a company logo, for example), it can be placed into a separate Content project and referenced by each of the game projects. Changes made to this Content project will then be reflected in all the games.

3. ZCTAs are not exactly the same as U.S. Postal Service Zip Codes; however, in our testing, the ZCTAs match very closely to them and can be considered accurate for the purposes of these calculations. 4. Technically, the Earth is not perfectly spherical, but given its size, the relatively minor imperfections in the Earth s surface will not skew the calculations significantly.

The way in which the game accesses the content is very simple. In the Game1 constructor of the game project we have been working on, you will find the line of code shown in Listing 2 11. Listing 2 11. Setting the RootDirectory property of the Content object Content.RootDirectory = "Content"; The value of Content that is set corresponds to the Content Root Directory property of the Content project, which you will find in the Properties window when the Content project s main node is selected in Solution Explorer, as shown in Figure 2 7. This is also shown in brackets after the project name. If you do decide to add multiple Content projects to your solution, ensure that each has a different Content Root Directory so that XNA knows where it can find each referenced asset.

Figure 1-4. Scene graph for HelloUniverse VirtualUniverse is the top node in every scene graph and represents the virtual world space and its coordinate system. Locale acts as the scene graph s location in the virtual world. Below the Locale node there are always two subgraphs.

We populated the ZCTA table with 32,038 entries corresponding to the Census Bureau data latitude and longitude coordinates in degrees for each ZCTA But since we know that we ll need to do at least some calculations using radians, we should save ourselves the repeated calculation of the degrees to radians conversion, and simply add two columns for the radian value of the latitude and longitude In order to convert degrees to radians, we use the following formula: radians = degrees * ( /180) A quick SELECT statement of five random rows along with our formula yields the results shown in Listing 8-37 Listing 8-37.

Figure 2 7. The Content project s Content Root Directory property Once the RootDirectory property has been set, you can access assets within that directory just by specifying their asset name, as we have seen already. If you wish to divide your assets into groups (perhaps by type, graphics, sounds, music, and so on), you can create subdirectories within your Content project by right-clicking the main project node and selecting Add / New Folder. When you place assets into these folders, you can access them either by setting the RootDirectory to include the subdirectory name or by including the directory name when calling the Content.Load function, as shown in Listing 2 12.