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Figure 2-7 The Maze game running on the Nokia 6100 Here s the basic idea of how the maze algorithm works Think of the pathways through the maze as being a graph (in the mathematical sense) where a point at which two pathways join or a point where you might turn is a vertex, and then the pathways connecting the vertices are edges It s clear that for a maze, you want your graph to be one connected tree in other words, a graph with no cycles As long as the entry point and the exit point are part of one connected tree, there will be exactly one path from the beginning to the end.

System.Windows.Forms.ListView System.Windows.Forms.Button System.Windows.Forms.Button System.Windows.Forms.Button

CHAPTER 8 JOHNNXT IS ALIVE!

Figure 13-9. SearchForm control layout Add the controls listed in Table 13-4 to the CustomerForm form. Figure 13-10 shows the layout of these controls. Table 13-4. Windows Controls for the CustomerForm Form

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To apply this idea and create the maze, the first step is to use the screen and graphics dimensions to determine the size of your grid of vertices (how many squares across and how many down) In this implementation, I start by dividing the entire playing field into equal-sized squares, which form part of the maze pathways if colored white and part of the maze wall if colored black There s a lattice of squares that I know should be black and a lattice that I know should be white, and the trick is to figure out which colors to give to the wildcard squares In Figure 2-8, I ve colored gray all of the squares whose color should be decided by the algorithm (note that this screen never appears in the final game).

System.Windows.Forms.Label System.Windows.Forms.Label System.Windows.Forms.Label System.Windows.Forms.Label System.Windows.Forms.TextBox

CHAPTER 8 JOHNNXT IS ALIVE!

Text = First Name : Text = Last Name : Text = Birth Date : Text = Member Since :

In graph terms, the white squares are the vertices, and the gray squares are the squares that might potentially be edges by being added to the maze pathway and turned white You can see from this that the number of rows and number of columns both need to be odd numbers That s why every time the grid size is.

CHAPTER 8 JOHNNXT IS ALIVE!

System.Windows.Forms.TextBox System.Windows.Forms.DateTimePicker System.Windows.Forms.DateTimePicker System.Windows.Forms.GroupBox System.Windows.Forms.GroupBox System.Windows.Forms.TabControl System.Windows.Forms.TabControl System.Windows.Forms.Button System.Windows.Forms.Button System.Windows.Forms.Button System.Windows.Forms.Button System.Windows.Forms.Button System.Windows.Forms.Button

calculated (see Listing 2-3) there are a few extra lines to make sure the number is odd. You can check whether a number is even or odd by checking the result of using the % operator with 2, but in this example I ve done a bitwise & with the byte of value 1 (0 1) because the % operator uses division, which is a costly operation.

m_LastNameTextBox m_BirthDateDateTimePicker m_MemberSinceDateTimePicker m_AddressGroupBox m_BillingMethodGroupBox m_AddressTabControl m_BillingMethodTabControl m_CreateAddressButton m_DeleteAddressButton m_CreateBillingMethod m_DeleteBillingMethod m_SaveCustomerButton m_CancelButton

CHAPTER 8 JOHNNXT IS ALIVE!

Format = Short Format = Short ----Text = Create Address Text = Delete Address Text = Create Billing Method Text = Delete Billing Method Text = Save Customer Text = Cancel

Figure 2-8. An illustration showing which squares need to have their color decided by the maze generation algorithm The algorithm works by picking one of the white squares at random from the middle of the grid and growing the tree from there by picking undecided (gray) squares and turning them white. Throughout the algorithm, you maintain a list of all of the white squares (vertices) that are not yet connected to the maze but are only one gray square away from being linked in. At each round of the algorithm, you use the randomizer to pick one square from the list and attach it to the maze (by turning a gray square white, hence adding an edge to the graph). Then just keep going until there are no white squares left that aren t connected to the maze pathway graph, and color the remaining gray squares black. By only adding edges to connect vertices that weren t already connected to the graph, you can see that you ll never get a cycle. And by growing the graph from one central point, you can be sure that all of the vertices will be connected to the same component. So in the end, for every two white squares in the maze there s exactly one path that leads from one to the other. Notably there s a unique path from the entry square to the exit square. Listing 2-4 shows the code for Grid.java. Note there s nothing CLDC-specific about this code the same class could be compiled using Java SE. Listing 2-4. Grid.java package net.frog_parrot.maze; import java.util.Random; import java.util.Vector; /** * This class contains the data necessary to draw the maze. *

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