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To create the Flex client, the idea is again to avoid reinventing the wheel. So an obvious choice is to use an existing open source library such as as3-rpclib (http://code.google.com/p/as3-rpclib/), which seems the most robust open source library achieving this functionality for Flex (although at the time of writing it still claims to be in beta). The library implements HTTPService-based support for RPC over AMF0 (binary original AMF format), XML-RPC, and JSON-RPC (which is discussed next). The first step is to download the library and get the SWC file. Next, as with any Flex application (with Flex Builder), you create a Flex project and go with the defaults Then you add the as3-rpclib.swc file to the library path as shown in Figure 7-9.

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Be that as it may, the key observation is that all we re really doing here is playing games with terminology The assertion that 0 < E < 1 defines an ellipse must be understood to mean, precisely, that 0 < E < 1 defines an ellipse that isn t a circle ! So what KU is calling an ellipse tout court is exactly what I would call, more specifically, a noncircular ellipse As an aside, I remark that I could (of course) have done the equivalent thing in terms of semiaxes a and b I mean, there s no need to drag in this stuff about eccentricity and the rest in order to make the point that KU is apparently trying to make To be specific, I could have defined type ELLIPSE to have a > b and type CIRCLE to have a = b.

When all of the setup is done, you create the Flex application code that uses XML-RPC to communicate with the server you created a short while back. The server exposes the two string manipulation methods over the channel, and that s what your Flex application invokes. The following is the Flex application code:

And then of course, I would have to agree that CIRCLE isn t a subtype of (this redefined version of) type ELLIPSE The question then becomes: Is the foregoing revision to the definition of type ELLIPSE useful Well, KU doesn t mention any types apart from CIRCLE and that redefined version of ELLIPSE; so if these are the only types we have, we clearly lose value substitutability I mean, we wouldn t be able to substitute a value of type CIRCLE wherever the system expected a value of type ELLIPSE Thus, for example, we couldn t have a single AREA operator that computes the area of a general ellipse and can thus be applied, thanks to subtyping and inheritance, to a circle in particular (And so we would lose some code reuse, too.

The Synfig Studio Toolbox has two groups of icon buttons. The upper group contains file operations; the Undo and Redo buttons; and the button for Help, which is a browser link to the documentation pages on the www.synfig.org web site. The lower group of buttons activate the transformation and drawing tools. In the second row of this lower group are the shape-drawing tools; the first on the left is the Circle tool, which you can use in your bouncing ball example. When you select the tool, which has an icon of a circle with a gray gradient fill and a little shadow underneath, the Tool Options window pops up. With the Circle tool active, click anywhere in the empty canvas, which has a gray checkerboard pattern like the GIMP s canvas (see Figure 5-17). This tool has a white cross cursor to show the center of where the circle will go. Hold down the mouse button, and drag out the circle to a suitable size. The radius of the circle in pixels is displayed as you do this, as a guide. When you release the mouse button, the circle is filled with the current active foreground color (black, by default).

< xml version="1.0" encoding="utf-8" > <s:Application xmlns:fx="http://ns.adobe.com/mxml/2009" xmlns:s="library://ns.adobe.com/flex/spark" xmlns:mx="library://ns.adobe.com/flex/halo" xmlns:as3rpclib="com.ak33m.rpc.xmlrpc.*" minWidth="1024" minHeight="768"> <s:creationComplete> <![CDATA[ callFunction(); ]]> </s:creationComplete> <fx:Script> <![CDATA[ import mx.controls.Alert; var firstString:String; var secondString:String; var output:String; function callFunction () { output = xmlrpctojava.joinString(firstString,secondString); trace(output); output = xmlrpctojava.reverseString(firstString); trace(output); } ]]> </fx:Script> <fx:Declarations> <!-- Place non-visual elements (e.g., services, value objects) here --> <as3rpclib:XMLRPCObject id="xmlrpctojava" endpoint="http:// 127.0.0.1:8080/xmlrpc" destination="xmlrpcendpoint" fault="Alert.show(event. fault.faultString,event.fault.faultCode)"> </as3rpclib:XMLRPCObject > </fx:Declarations> </s:Application>