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+/*
+ * cocos2d for iPhone: http://www.cocos2d-iphone.org
+ *
+ * Copyright (c) 2008-2009 Jason Booth
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ *
+ */
+
+
+/*
+ * Elastic, Back and Bounce actions based on code from:
+ * http://github.com/NikhilK/silverlightfx/
+ *
+ * by http://github.com/NikhilK
+ */
+
+#import "CCActionEase.h"
+
+#ifndef M_PI_X_2
+#define M_PI_X_2 (float)M_PI * 2.0f
+#endif
+
+#pragma mark EaseAction
+
+//
+// EaseAction
+//
+@implementation CCActionEase
+
++(id) actionWithAction: (CCActionInterval*) action
+{
+        return [[[self alloc] initWithAction: action] autorelease ];
+}
+
+-(id) initWithAction: (CCActionInterval*) action
+{
+        NSAssert( action!=nil, @"Ease: arguments must be non-nil");
+  
+        if( (self=[super initWithDuration: action.duration]) )
+                other = [action retain];
+        
+        return self;
+}
+
+-(id) copyWithZone: (NSZone*) zone
+{
+        CCAction *copy = [[[self class] allocWithZone:zone] initWithAction:[[other copy] autorelease]];
+        return copy;
+}
+
+-(void) dealloc
+{
+        [other release];
+        [super dealloc];
+}
+
+-(void) startWithTarget:(id)aTarget
+{
+        [super startWithTarget:aTarget];
+        [other startWithTarget:target_];
+}
+
+-(void) stop
+{
+        [other stop];
+        [super stop];
+}
+
+-(void) update: (ccTime) t
+{
+        [other update: t];
+}
+
+-(CCActionInterval*) reverse
+{
+        return [[self class] actionWithAction: [other reverse]];
+}
+@end
+
+
+#pragma mark -
+#pragma mark EaseRate
+
+//
+// EaseRateAction
+//
+@implementation CCEaseRateAction
+@synthesize rate;
++(id) actionWithAction: (CCActionInterval*) action rate:(float)aRate
+{
+        return [[[self alloc] initWithAction: action rate:aRate] autorelease ];
+}
+
+-(id) initWithAction: (CCActionInterval*) action rate:(float)aRate
+{
+        if( (self=[super initWithAction:action ]) )
+                self.rate = aRate;
+        
+        return self;
+}
+
+-(id) copyWithZone: (NSZone*) zone
+{
+        CCAction *copy = [[[self class] allocWithZone:zone] initWithAction:[[other copy] autorelease] rate:rate];
+        return copy;
+}
+
+-(void) dealloc
+{
+        [super dealloc];
+}
+
+-(CCActionInterval*) reverse
+{
+        return [[self class] actionWithAction: [other reverse] rate:1/rate];
+}
+@end
+
+//
+// EeseIn
+//
+@implementation CCEaseIn
+-(void) update: (ccTime) t
+{
+        [other update: powf(t,rate)];
+}
+@end
+
+//
+// EaseOut
+//
+@implementation CCEaseOut
+-(void) update: (ccTime) t
+{
+        [other update: powf(t,1/rate)];
+}
+@end
+
+//
+// EaseInOut
+//
+@implementation CCEaseInOut
+-(void) update: (ccTime) t
+{       
+        int sign =1;
+        int r = (int) rate;
+        if (r % 2 == 0)
+                sign = -1;
+        t *= 2;
+        if (t < 1) 
+                [other update: 0.5f * powf (t, rate)];
+        else
+                [other update: sign*0.5f * (powf (t-2, rate) + sign*2)];        
+}
+
+// InOut and OutIn are symmetrical
+-(CCActionInterval*) reverse
+{
+        return [[self class] actionWithAction: [other reverse] rate:rate];
+}
+
+@end
+
+#pragma mark -
+#pragma mark EaseExponential
+
+//
+// EaseExponentialIn
+//
+@implementation CCEaseExponentialIn
+-(void) update: (ccTime) t
+{
+        [other update: (t==0) ? 0 : powf(2, 10 * (t/1 - 1)) - 1 * 0.001f];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseExponentialOut actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseExponentialOut
+//
+@implementation CCEaseExponentialOut
+-(void) update: (ccTime) t
+{
+        [other update: (t==1) ? 1 : (-powf(2, -10 * t/1) + 1)];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseExponentialIn actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseExponentialInOut
+//
+@implementation CCEaseExponentialInOut
+-(void) update: (ccTime) t
+{
+        t /= 0.5f;
+        if (t < 1)
+                t = 0.5f * powf(2, 10 * (t - 1));
+        else
+                t = 0.5f * (-powf(2, -10 * (t -1) ) + 2);
+        
+        [other update:t];
+}
+@end
+
+
+#pragma mark -
+#pragma mark EaseSin actions
+
+//
+// EaseSineIn
+//
+@implementation CCEaseSineIn
+-(void) update: (ccTime) t
+{
+        [other update:-1*cosf(t * (float)M_PI_2) +1];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseSineOut actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseSineOut
+//
+@implementation CCEaseSineOut
+-(void) update: (ccTime) t
+{
+        [other update:sinf(t * (float)M_PI_2)];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseSineIn actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseSineInOut
+//
+@implementation CCEaseSineInOut
+-(void) update: (ccTime) t
+{
+        [other update:-0.5f*(cosf( (float)M_PI*t) - 1)];
+}
+@end
+
+#pragma mark -
+#pragma mark EaseElastic actions
+
+//
+// EaseElastic
+//
+@implementation CCEaseElastic
+
+@synthesize period = period_;
+
++(id) actionWithAction: (CCActionInterval*) action
+{
+        return [[[self alloc] initWithAction:action period:0.3f] autorelease];
+}
+
++(id) actionWithAction: (CCActionInterval*) action period:(float)period
+{
+        return [[[self alloc] initWithAction:action period:period] autorelease];
+}
+
+-(id) initWithAction: (CCActionInterval*) action
+{
+        return [self initWithAction:action period:0.3f];
+}
+
+-(id) initWithAction: (CCActionInterval*) action period:(float)period
+{
+        if( (self=[super initWithAction:action]) )
+                period_ = period;
+        
+        return self;
+}
+
+-(id) copyWithZone: (NSZone*) zone
+{
+        CCAction *copy = [[[self class] allocWithZone:zone] initWithAction:[[other copy] autorelease] period:period_];
+        return copy;
+}
+
+-(CCActionInterval*) reverse
+{
+        NSAssert(NO,@"Override me");
+        return nil;
+}
+
+@end
+
+//
+// EaseElasticIn
+//
+
+@implementation CCEaseElasticIn
+-(void) update: (ccTime) t
+{       
+        ccTime newT = 0;
+        if (t == 0 || t == 1)
+                newT = t;
+                
+        else {
+                float s = period_ / 4;
+                t = t - 1;
+                newT = -powf(2, 10 * t) * sinf( (t-s) *M_PI_X_2 / period_);
+        }
+        [other update:newT];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseElasticOut actionWithAction: [other reverse] period:period_];
+}
+
+@end
+
+//
+// EaseElasticOut
+//
+@implementation CCEaseElasticOut
+
+-(void) update: (ccTime) t
+{       
+        ccTime newT = 0;
+        if (t == 0 || t == 1) {
+                newT = t;
+                
+        } else {
+                float s = period_ / 4;
+                newT = powf(2, -10 * t) * sinf( (t-s) *M_PI_X_2 / period_) + 1;
+        }
+        [other update:newT];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseElasticIn actionWithAction: [other reverse] period:period_];
+}
+
+@end
+
+//
+// EaseElasticInOut
+//
+@implementation CCEaseElasticInOut
+-(void) update: (ccTime) t
+{
+        ccTime newT = 0;
+        
+        if( t == 0 || t == 1 )
+                newT = t;
+        else {
+                t = t * 2;
+                if(! period_ )
+                        period_ = 0.3f * 1.5f;
+                ccTime s = period_ / 4;
+                
+                t = t -1;
+                if( t < 0 )
+                        newT = -0.5f * powf(2, 10 * t) * sinf((t - s) * M_PI_X_2 / period_);
+                else
+                        newT = powf(2, -10 * t) * sinf((t - s) * M_PI_X_2 / period_) * 0.5f + 1;
+        }
+        [other update:newT];    
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseElasticInOut actionWithAction: [other reverse] period:period_];
+}
+
+@end
+
+#pragma mark -
+#pragma mark EaseBounce actions
+
+//
+// EaseBounce
+//
+@implementation CCEaseBounce
+-(ccTime) bounceTime:(ccTime) t
+{
+        if (t < 1 / 2.75) {
+                return 7.5625f * t * t;
+        }
+        else if (t < 2 / 2.75) {
+                t -= 1.5f / 2.75f;
+                return 7.5625f * t * t + 0.75f;
+        }
+        else if (t < 2.5 / 2.75) {
+                t -= 2.25f / 2.75f;
+                return 7.5625f * t * t + 0.9375f;
+        }
+
+        t -= 2.625f / 2.75f;
+        return 7.5625f * t * t + 0.984375f;
+}
+@end
+
+//
+// EaseBounceIn
+//
+
+@implementation CCEaseBounceIn
+
+-(void) update: (ccTime) t
+{
+        ccTime newT = 1 - [self bounceTime:1-t];        
+        [other update:newT];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseBounceOut actionWithAction: [other reverse]];
+}
+
+@end
+
+@implementation CCEaseBounceOut
+
+-(void) update: (ccTime) t
+{
+        ccTime newT = [self bounceTime:t];      
+        [other update:newT];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseBounceIn actionWithAction: [other reverse]];
+}
+
+@end
+
+@implementation CCEaseBounceInOut
+
+-(void) update: (ccTime) t
+{
+        ccTime newT = 0;
+        if (t < 0.5) {
+                t = t * 2;
+                newT = (1 - [self bounceTime:1-t] ) * 0.5f;
+        } else
+                newT = [self bounceTime:t * 2 - 1] * 0.5f + 0.5f;
+        
+        [other update:newT];
+}
+@end
+
+#pragma mark -
+#pragma mark Ease Back actions
+
+//
+// EaseBackIn
+//
+@implementation CCEaseBackIn
+
+-(void) update: (ccTime) t
+{
+        ccTime overshoot = 1.70158f;
+        [other update: t * t * ((overshoot + 1) * t - overshoot)];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseBackOut actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseBackOut
+//
+@implementation CCEaseBackOut
+-(void) update: (ccTime) t
+{
+        ccTime overshoot = 1.70158f;
+        
+        t = t - 1;
+        [other update: t * t * ((overshoot + 1) * t + overshoot) + 1];
+}
+
+- (CCActionInterval*) reverse
+{
+        return [CCEaseBackIn actionWithAction: [other reverse]];
+}
+@end
+
+//
+// EaseBackInOut
+//
+@implementation CCEaseBackInOut
+
+-(void) update: (ccTime) t
+{
+        ccTime overshoot = 1.70158f * 1.525f;
+        
+        t = t * 2;
+        if (t < 1)
+                [other update: (t * t * ((overshoot + 1) * t - overshoot)) / 2];
+        else {
+                t = t - 2;
+                [other update: (t * t * ((overshoot + 1) * t + overshoot)) / 2 + 1];
+        }
+}
+@end