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} During an animation, WPF calls EaseInCore() method each time it updates the animated value The exact frequency depends on the animation s frame rate, but you can expect it to call EaseInCore() close to 60 times each second To perform easing, the EaseInCore() method takes the normalized time and adjusts it in some way The adjusted value that EaseInCore() returns is then used to adjust the progress of the animation For example, if EaseInCore() returns 0, the animation is returned to its starting point If EaseInCore() returns 1, the animation jumps to its ending point However, EaseInCore() isn t limited to this range for example, it can return 15 to cause the animation to overrun itself by an additional 50% (You ve already seen this effect with easing functions like ElasticEase) Here s a version of EaseInCore() that does nothing at all.

It returns the normalized time, meaning the animation will unfold evenly, just as if there were no easing: protected override double EaseInCore(double normalizedTime) { return normalizedTime; } And here s a version of EaseInCore() that duplicates the CubicEase function, by cubing the normalized time Because the normalized time is a fractional value, cubing it produces a smaller fraction Thus, this method has the effect of initially slowing down the animation and causing it to accelerate as the normalized time (and its cubed value) approaches 1 protected override double EaseInCore(double normalizedTime) { return MathPow(normalizedTime, 3); }.

Note The easing you perform in the EaseInCore() method is what you ll get when you use an EasingMode of

return base.Execute(executionContext); }

EaseIn. Interestingly, that s all the work you need to do, because WPF is intelligent enough to calculate complementary behavior for the EaseOut and EaseInOut settings.

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Finally, here s a custom easing function that does something more interesting it offsets the normalized value a random amount, causing a sporadic jittering effect. You can adjust the magnitude of the jitter (within a narrow range) using the provide Jitter dependency property, which accepts a value from 0 to 2000. public class RandomJitterEase : EasingFunctionBase { // Store a random number generator. private Random rand = new Random(); // Allow the amount of jitter to be configured. public static readonly DependencyProperty JitterProperty = DependencyProperty.Register("Jitter", typeof(int), typeof(RandomJitterEase), new UIPropertyMetadata(1000), new ValidateValueCallback(ValidateJitter)); public int Jitter { get { return (int)GetValue(JitterProperty); } set { SetValue(JitterProperty, value); } } private static bool ValidateJitter(object value) { int jitterValue = (int)value; return ((jitterValue <= 2000) && (jitterValue >= 0)); } // Perform the easing. protected override double EaseInCore(double normalizedTime) { // Make sure there's no jitter in the final value. if (normalizedTime == 1) return 1; // Offset the value by a random amount. return Math.Abs(normalizedTime (double)rand.Next(0,10)/(2010 - Jitter)); } // This required override simply provides a live instance of your // easing function. protected override Freezable CreateInstanceCore() { return new RandomJitterEase(); } }

Figure 2 8. The result of applying a DataTemplate This merely hints at the potential of DataTemplates, which will be fully unlocked in subsequent chapters.

Tip If you want to see the eased values that you re calculating as your animation runs, use the WriteLine()

Note This activity adds a property named TemplateDirectory. This is a base folder in the file system where

method of the System.Diagnostics.Debug class in the EaseInCore() method. This writes the value you supply to the Output window while you re debugging your application in Visual Studio.

Using this easing function is easy. First, map the appropriate namespace in your XAML: <Window x:Class="Animation.CustomEasingFunction" xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation" xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml" Title="CustomEasingFunction" Height="300" Width="600" xmlns:local="clr-namespace:Animation"> Then, you can create a RandomJitterEase object in your markup, like this: <DoubleAnimation Storyboard.TargetName="ellipse2" Storyboard.TargetProperty="(Canvas.Left)" To="500" Duration="0:0:10"> <DoubleAnimation.EasingFunction> <local:RandomJitterEase EasingMode="EaseIn" Jitter="1000"> </local:RandomJitterEase> </DoubleAnimation.EasingFunction> </DoubleAnimation> The online samples for this chapter feature an example that compares an animation with no easing (the movement of a small ellipse across a Canvas) to one that uses the RandomJitterEase.

Often, an animated user interface requires little more that creating and configuring the right animation and storyboard objects. But in other scenarios, particularly ones in which you have multiple animations taking place at the same time, you may need to pay more attention to performance. Certain effects are more likely to cause these issues for example, those that involve video, large bitmaps, and multiple levels of transparency typically demand more from the computer s CPU. If they re not implemented carefully, they may run with notable jerkiness, or they may steal CPU time away from other applications that are running at the same time. Fortunately, WPF has a few tricks that can help you. In the following sections, you ll learn to slow down the maximum frame rate and cache bitmaps on the computer s video card, two techniques that can lessen the load on the CPU.

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