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Because we set the top to 1 and bottom to -1 in the preceding code (Listing 10 6), we have set the front height of the box to 2 units. You specify the sizes for the left and right sides of the frustum by using proportional numbers, taking into account the window s aspect ratio. This is why this code uses the window height and width to figure out the proportion. The code also assumes the area of action to be between 3 and 7 units along the z axis. Anything drawn outside these coordinates, relative to the camera, won t be visible. Because we set the camera at (0,0,5) and pointing toward (0,0,0), 3 units from the camera toward the origin will be (0,0,2) and 7 units from the camera will be (0,0,-2). This leaves the origin plane right in the middle of your 3D box. So now you ve identified how big your viewing volume is. You need to understand one more API to map these sizes to the screen: glViewport.

# class inherit_nonfuncobj x = object inherit nonfuncobj x end;; class inherit_nonfuncobj : int -> object val data : int method get_data : int method set_data : int -> nonfuncobj end # let f = new inherit_nonfuncobj 20;; val f : inherit_nonfuncobj = <obj> # let q = f#set_data 30;; val q : nonfuncobj = <obj> # This difference is important. Using Oo.copy avoids this problem, as does using the {< >} construct. You should always be mindful of the consequences of your design decisions when using objects; you never know whether they will be inherited from (unless you use only direct objects).

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glViewport is responsible for specifying the rectangular area on the screen onto which the viewing volume will be projected. This method takes four arguments to specify the rectangular box: the x and y coordinates of the lower-left corner, followed by the width and height. Listing 10 7 is an example of specifying a view as the target for this projection.

Listing 10 7. Defining a ViewPort through glViewPort glViewport(0, 0, width, height); // // // // lower left "x" of the rectangle on the screen lower left "y" of the rectangle on the screen width of the rectangle on the screen height of the rectangle on the screen

Here is an example where IDs are automatically generated for resources defined in XML files: public final class R { public static final class attr { } public static final class drawable { public static final int myanimation=0x7f020001; public static final int numbers19=0x7f02000e; } public static final class id { public static final int textViewId1=0x7f080003; } public static final class layout { public static final int frame_animations_layout=0x7f030001; public static final int main=0x7f030002; } public static final class string { public static final int hello=0x7f070000; } } Each auto-generated ID in this class corresponds to either an element in an XML file or a whole file itself Wherever you would like to use those XML definitions, you can use these generated IDs instead This indirection helps a great deal when it comes to localization ( 3 covers the Rjava file and resources in more detail.

Now you can put (almost) everything together in a larger example. The edit distance (or Levenshtein distance) describes how close two strings are to one another. It describes the number of transformations or substitutions required to turn one string into another. The calculation uses a two-dimensional matrix and is iterative. The two dimensions of the matrix are determined by the length of the strings. Each letter in the first string is compared with each letter in the second; if it is the same, the cost is 0. If it is not the same, the cost is 1. The value of each element i.(x).(y) in the matrix is set equal to the lesser of the elements in location i.(x 1).(y) or i.(x).(y 1) or i.(x 1).(y 1). You can see a representation of the matrix in Figure 18-2.

If your window or view size is 100 pixels in height and the frustum height is 10 units, then every logical unit of 1 in the world coordinates translates to 10 pixels in screen coordinates. So far we have covered some important introductory concepts in OpenGL material that can take many chapters to cover in books on the subject. Understanding these OpenGL fundamentals is useful for learning how to write Android OpenGL code. With

these prerequisites behind us, we ll now discuss what is needed to call the OpenGL ES APIs that we have learned in this section.

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