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    <p>OK after another Google trawl: <a href="http://forums.macrumors.com/showthread.php?t=749518&amp;highlight=cabasicanimation" rel="nofollow noreferrer">http://forums.macrumors.com/showthread.php?t=749518&amp;highlight=cabasicanimation</a></p> <p>I found out about this thing called NSTimer! Another search of this site revealed some good info: <a href="https://stackoverflow.com/questions/1449035/how-do-i-use-nstimer">How do I use NSTimer?</a></p> <p>And about running NSTimer in its own thread: <a href="https://stackoverflow.com/questions/2318280/keep-an-nsthread-containing-an-nstimer-around-indefinitely-iphone">Keep an NSThread containing an NSTimer around indefinitely? (iPhone)</a></p> <p>So now I can offer this updated code example, which I hope may be useful to someone one day. By the way, I didn't try it yet, but apparently the following can be used to stop the timer:</p> <pre><code>[myTimer invalidate]; myTimer = nil; </code></pre> <p>Thanks to all here at this site, not only the most beautifully designed corner of the web but also a total lifesaver!</p> <pre><code> #import &lt;UIKit/UIKit.h&gt; #import &lt;QuartzCore/QuartzCore.h&gt; @interface Shape_05ViewController : UIViewController { CALayer *rootLayer; CAShapeLayer *shapeLayer; CGMutablePathRef pentagonPath; CGMutablePathRef starPath; int animationCount; CABasicAnimation *animation; NSTimer *repeatingTimer; } @property (assign, readwrite) NSTimer *repeatingTimer; -(void) startAnimation: (NSTimer*)theTimer; -(void) viewDidLoad; -(void) startSequence; @end </code></pre> <hr> <pre><code> #import "Shape_05ViewController.h" @implementation Shape_05ViewController @synthesize repeatingTimer; - (void)loadView { UIView *appView = [[UIView alloc] initWithFrame:[[UIScreen mainScreen] bounds]]; appView.backgroundColor = [UIColor blackColor]; self.view = appView; [appView release]; rootLayer = [CALayer layer]; rootLayer.frame = self.view.bounds; [self.view.layer addSublayer:rootLayer]; //Pentagon Path pentagonPath = CGPathCreateMutable(); CGPoint center = self.view.center; CGPathMoveToPoint(pentagonPath, nil, center.x, center.y - 75.0); for(int i = 1; i &lt; 5; ++i) { CGFloat x = - 75.0 * sinf(i * 2.0 * M_PI / 5.0); CGFloat y = - 75.0 * cosf(i * 2.0 * M_PI / 5.0); CGPathAddLineToPoint(pentagonPath, nil,center.x + x, center.y + y); } CGPathCloseSubpath(pentagonPath); //This seems to be fixed in 4.0 //Star Path starPath = CGPathCreateMutable(); center = self.view.center; CGPathMoveToPoint(starPath, NULL, center.x, center.y + 75.0); for(int i = 1; i &lt; 5; ++i) { CGFloat x = 75.0 * sinf(i * 4.0 * M_PI / 5.0); CGFloat y = 75.0 * cosf(i * 4.0 * M_PI / 5.0); CGPathAddLineToPoint(starPath, NULL, center.x + x, center.y + y); }; CGPathCloseSubpath(starPath); //Create Shape shapeLayer = [CAShapeLayer layer]; shapeLayer.path = pentagonPath; UIColor *fillColor = [UIColor colorWithWhite:0.9 alpha:1.0]; shapeLayer.fillColor = fillColor.CGColor; shapeLayer.fillRule = kCAFillRuleNonZero; [rootLayer addSublayer:shapeLayer]; } -(void) viewDidLoad { NSLog(@"viewDidLoad"); animationCount = 0; [NSThread detachNewThreadSelector:@selector(startSequence) toTarget:self withObject:nil]; } -(void) startSequence { NSLog(@"startSequence"); NSAutoreleasePool *pool = [[NSAutoreleasePool alloc] init]; NSTimer *timer = [NSTimer scheduledTimerWithTimeInterval:1.0 target:self selector:@selector(startAnimation:) userInfo:nil repeats:YES]; [[NSRunLoop currentRunLoop] run]; self.repeatingTimer = timer; [pool release]; } -(void)startAnimation: (NSTimer*)theTimer { NSLog(@"startAnimation"); animation = [CABasicAnimation animationWithKeyPath:@"path"]; animation.duration = 0.25; animation.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseInEaseOut]; animation.repeatCount = 0; animation.autoreverses = NO; animation.fillMode = kCAFillModeForwards; animation.removedOnCompletion = NO; if( (animationCount % 2) == 0) { animation.fromValue = (id)pentagonPath; animation.toValue = (id)starPath; } else { animation.fromValue = (id)starPath; animation.toValue = (id)pentagonPath; }; [shapeLayer addAnimation:animation forKey:@"animatePath"]; animationCount++; } - (void)didReceiveMemoryWarning { [super didReceiveMemoryWarning]; } - (void)dealloc { CGPathRelease(starPath); CGPathRelease(pentagonPath); [super dealloc]; } @end </code></pre>
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