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Figure 7-19. Scaling the coordinate system moves all points closer to the origin (0,0). When rotating, the following call is made: painter.rotate( 30 ); The parameter is the number of degrees to rotate the coordinate system in the clockwise direction. The method accepts floating-point values, so it is possible to rotate the coordinate system any number or fraction of a degree (see Figure 7-20).

The advantage of the first approach is that at any one time you are dealing with only one set of fields that can be submitted as simple name/value pairs, so the data structure is very straightforward The disadvantage is that at each step in the wizard you need to store the data that has already been submitted, and this has its own problems Imagine, for example, you save the study information in the first step but the user changes their mind and never completes the second step of adding a person One of the requirements was that studies should have at least one person associated with them, but now you have saved a study that doesn t have any people Say, instead, that the user does add a person and gives them a role of chief investigator.

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Figure 7-20. Rotating the coordinate system around the origin (0,0) The last transformation shearing is a bit more complicated. What happens is that the coordinate system is twisted around the origin. To understand this, look at Figure 7-21 and the following call: painter.shear( 0.2, 0.5 ); Notice that the larger the x value, the larger the change of the y value. In the same way, a large y value results in a large change in the x value. The first parameter of the shear method controls how large a change of the y value the x should give, and the second parameter does the same in reverse. For example, look at the lower-right corner of the sheared rectangle and compare it with the original gray box. Then compare the upper-left corner of the sheared and original rectangles. Comparing the two points, you can see that one has moved more than the other according to the size of the parameters of the shear method. Because the upper-right corner has non-0 values for both x and y, that point is moved in both directions in accordance with the parameters.

If you were to use a block cipher, you could initialize the client and server to use the same key, k The client might encrypt data using the k, and the server might respond, also encrypting with k However, it would be dangerous to do the same with a stream cipher like RC4! Consider what happens when using a stream cipher: the client has some plaintext, p1, that it encrypts using k to produce c1 = p1 k The client transmits c1 to the server The server has some plaintext, p2, that it encrypts using k to produce c2 = p2 k A passive eavesdropper can compute c1 c2 = p1 k p2 k = p1 p2, which reveals the XOR of the client and server s plaintext If the attacker knows p1, she can determine p2, and vice versa.

Now let s imagine they add another person and give them a role of chief investigator too You can t have more than one chief investigator, so the validation code will display an error explaining the problem Imagine, though, that the user really does want the second person to be the chief investigator and made a mistake in giving the first person the chief investigator role The user has no choice but to start the form again Obviously, all the problems with the wizard approach can be solved.

Figure 7-21. Shearing the coordinate system relative to the origin (0,0) When you perform a transformation of the coordinate system of a painter, you want to know that there s a way to get the original settings back. By calling save on your painter object, the current state is placed on a stack. To restore the last saved state, call restore (this is handy when you want to apply several transformations that start from the original coordinate system). It is also common to be given a pointer to a painter object; you should save the state before modifying the painter and then restore the painter before returning from the method.

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