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Figure 5-33. A sine (full curve) and its cosine (dotted curve) For example, at the very top or bottom of your wave (where the water is flat), the cosine reaches 0, indicating the (0,1,0) vector shouldn t be deviated. At the middle of the slope of your wave, the cosine indicates maximum deviation. This means that next to taking the sine, you ll also need to take the derivative of your heights function. Since the heights function is multiplied with xWaveHeights, you ll have to do the same with the derivative function. The derivative of a sine is the cosine, while you also need to divide by xWaveLengths as dotProducts (the horizontal axis in Figure 5-33) is divided by xWaveLengths. float4 derivatives = xWaveHeights*cos(arguments)/xWaveLengths; This actually makes sense, because the higher your waves are, the steeper they are, and the more you should deviate your normal. Furthermore, the more you stretch your wave, the less you need to deviate your normal from the (0,1,0) direction.

Note Both the sine and cosine are multiplied by xWaveHeights. This means that if you set the height of

Structs can be used as return values and parameters. Return value: When a struct is a return value, a copy is created and returned from the function member. Value parameter: When a struct is used as a value parameter, a copy of the actual parameter struct is created. The copy is used in the execution of the method. ref and out parameters: If you use a struct as a ref or out parameter, a reference to the struct is passed into the method.

You can add and remove attributes from the filtering system by checking/unchecking their check boxes and using the Remove selected attributes and Add Stripped attributes buttons under each section of the panel.

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a wave to 0, it will no longer have an impact on the heights of the vertices or the deviation of the normal.

Now that you know your mathematical derivatives, sum them together to know how much you should deviate the normal from the (0,1,0) direction in the current vertex. The wave displayed in Figure 5-33 is 2D, so the cosine indicates how much the normal should be deviated forward or backward. Your waves are in 3D, so in the previous sentence you need to replace forward with the direction of the wave :

Allocating structs requires less overhead than creating instances of a class, so using structs instead of classes can sometimes improve performance but beware of the costs of boxing and unboxing. Finally, some last things you should know about structs are the following: The predefined simple types (int, short, long, etc.), although considered primitives in .NET and C#, are all actually implemented in .NET as structs. Structs, like classes, can implement interfaces.

Click the Styles tab to manage the style settings. This panel lets you control which kinds of styles are permitted for the style attributes. The panel consists of two parts: Permitted styles: This section deals with CSS styles that are allowed in style attributes. Filtered classes: This section provides a text field where you can add classes that you don t want to allow in class attributes.

float2 deviations = 0; deviations += derivatives.x*xWaveDir0; deviations += derivatives.y*xWaveDir1; deviations += derivatives.z*xWaveDir2; deviations += derivatives.w*xWaveDir3; float3 Normal = float3(-deviations.x, 1, -deviations.y); Vertices with almost 0 deviation will obtain (0,1,0) as normal, while vertices on slopes of high, short waves will have a normal that is pointing mostly into the direction of this wave.

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