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I found this: <a href="http://cocoawithlove.com/2008/09/parametric-acceleration-curves-in-core.html">Cocoa with Love - Parametric acceleration curves in Core Animation</a> But I think it can be made a little simpler and more readable by using blocks. So we can define a category on CAKeyframeAnimation that looks something like this: CAKeyframeAnimation+Parametric.h: <pre><code>// this should be a function that takes a time value between // 0.0 and 1.0 (where 0.0 is the beginning of the animation // and 1.0 is the end) and returns a scale factor where 0.0 // would produce the starting value and 1.0 would produce the // ending value typedef double (^KeyframeParametricBlock)(double); @interface CAKeyframeAnimation (Parametric) + (id)animationWithKeyPath:(NSString *)path function:(KeyframeParametricBlock)block fromValue:(double)fromValue toValue:(double)toValue; </code></pre> CAKeyframeAnimation+Parametric.m: <pre><code>@implementation CAKeyframeAnimation (Parametric) + (id)animationWithKeyPath:(NSString *)path function:(KeyframeParametricBlock)block fromValue:(double)fromValue toValue:(double)toValue { // get a keyframe animation to set up CAKeyframeAnimation *animation = [CAKeyframeAnimation animationWithKeyPath:path]; // break the time into steps // (the more steps, the smoother the animation) NSUInteger steps = 100; NSMutableArray *values = [NSMutableArray arrayWithCapacity:steps]; double time = 0.0; double timeStep = 1.0 / (double)(steps - 1); for(NSUInteger i = 0; i < steps; i++) { double value = fromValue + (block(time) * (toValue - fromValue)); [values addObject:[NSNumber numberWithDouble:value]]; time += timeStep; } // we want linear animation between keyframes, with equal time steps animation.calculationMode = kCAAnimationLinear; // set keyframes and we're done [animation setValues:values]; return(animation); } @end </code></pre> Now usage will look something like this: <pre><code>// define a parametric function KeyframeParametricBlock function = ^double(double time) { return(1.0 - pow((1.0 - time), 2.0)); }; if (layer) { [CATransaction begin]; [CATransaction setValue:[NSNumber numberWithFloat:2.5] forKey:kCATransactionAnimationDuration]; // make an animation CAAnimation *drop = [CAKeyframeAnimation animationWithKeyPath:@"position.y" function:function fromValue:30.0 toValue:450.0]; // use it [layer addAnimation:drop forKey:@"position"]; [CATransaction commit]; } </code></pre> I know it might not be quite as simple as what you wanted, but it's a start.
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