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/******************************************************************************************* |
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* |
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* raylib Easings - Useful easing functions for values animation |
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* |
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* A port of Robert Penner's easing equations to C (http://robertpenner.com/easing/) |
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* |
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* Robert Penner License |
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* --------------------------------------------------------------------------------- |
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* Open source under the BSD License. |
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* |
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* Copyright (c) 2001 Robert Penner. All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without modification, |
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* are permitted provided that the following conditions are met: |
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* |
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* - Redistributions of source code must retain the above copyright notice, |
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* this list of conditions and the following disclaimer. |
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* - Redistributions in binary form must reproduce the above copyright notice, |
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* this list of conditions and the following disclaimer in the documentation |
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* and/or other materials provided with the distribution. |
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* - Neither the name of the author nor the names of contributors may be used |
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* to endorse or promote products derived from this software without specific |
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* prior written permission. |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND |
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED |
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* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
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* IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, |
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* INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
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* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE |
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* OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED |
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* OF THE POSSIBILITY OF SUCH DAMAGE. |
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* --------------------------------------------------------------------------------- |
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* |
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* Copyright (c) 2015 Ramon Santamaria |
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* |
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* This software is provided "as-is", without any express or implied warranty. In no event |
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* will the authors be held liable for any damages arising from the use of this software. |
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* |
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* Permission is granted to anyone to use this software for any purpose, including commercial |
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* applications, and to alter it and redistribute it freely, subject to the following restrictions: |
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* |
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* 1. The origin of this software must not be misrepresented; you must not claim that you |
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* wrote the original software. If you use this software in a product, an acknowledgment |
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* in the product documentation would be appreciated but is not required. |
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* |
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* 2. Altered source versions must be plainly marked as such, and must not be misrepresented |
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* as being the original software. |
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* |
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* 3. This notice may not be removed or altered from any source distribution. |
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* |
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**********************************************************************************************/ |
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#ifndef EASINGS_H |
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#define EASINGS_H |
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#include <math.h> |
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#ifdef __cplusplus |
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extern "C" { // Prevents name mangling of functions |
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#endif |
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// Linear Easing functions |
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float EaseLinearNone(float t, float b, float c, float d) { return (c*t/d + b); } |
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float EaseLinearIn(float t, float b, float c, float d) { return (c*t/d + b); } |
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float EaseLinearOut(float t, float b, float c, float d) { return (c*t/d + b); } |
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float EaseLinearInOut(float t,float b, float c, float d) { return (c*t/d + b); } |
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// Sine Easing functions |
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float EaseSineIn(float t, float b, float c, float d) { return (-c*cos(t/d*(PI/2)) + c + b); } |
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float EaseSineOut(float t, float b, float c, float d) { return (c*sin(t/d*(PI/2)) + b); } |
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float EaseSineInOut(float t, float b, float c, float d) { return (-c/2*(cos(PI*t/d) - 1) + b); } |
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// Circular Easing functions |
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float EaseCircIn(float t, float b, float c, float d) { return (-c*(sqrt(1 - (t/=d)*t) - 1) + b); } |
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float EaseCircOut(float t, float b, float c, float d) { return (c*sqrt(1 - (t=t/d-1)*t) + b); } |
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float EaseCircInOut(float t, float b, float c, float d) |
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{ |
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if ((t/=d/2) < 1) return (-c/2*(sqrt(1 - t*t) - 1) + b); |
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return (c/2*(sqrt(1 - t*(t-=2)) + 1) + b); |
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} |
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// Cubic Easing functions |
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float EaseCubicIn(float t, float b, float c, float d) { return (c*(t/=d)*t*t + b); } |
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float EaseCubicOut(float t, float b, float c, float d) { return (c*((t=t/d-1)*t*t + 1) + b); } |
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float EaseCubicInOut(float t, float b, float c, float d) |
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{ |
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if ((t/=d/2) < 1) return (c/2*t*t*t + b); |
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return (c/2*((t-=2)*t*t + 2) + b); |
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} |
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// Quadratic Easing functions |
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float EaseQuadIn(float t, float b, float c, float d) { return (c*(t/=d)*t + b); } |
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float EaseQuadOut(float t, float b, float c, float d) { return (-c*(t/=d)*(t-2) + b); } |
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float EaseQuadInOut(float t, float b, float c, float d) |
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{ |
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if ((t/=d/2) < 1) return (((c/2)*(t*t)) + b); |
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return (-c/2*(((t-2)*(--t)) - 1) + b); |
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} |
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// Exponential Easing functions |
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float EaseExpoIn(float t, float b, float c, float d) { return (t == 0) ? b : (c*pow(2, 10*(t/d - 1)) + b); } |
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float EaseExpoOut(float t, float b, float c, float d) { return (t == d) ? (b + c) : (c*(-pow(2, -10*t/d) + 1) + b); } |
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float EaseExpoInOut(float t, float b, float c, float d) |
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{ |
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if (t == 0) return b; |
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if (t == d) return (b + c); |
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if ((t/=d/2) < 1) return (c/2*pow(2, 10*(t - 1)) + b); |
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return (c/2*(-pow(2, -10*--t) + 2) + b); |
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} |
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// Back Easing functions |
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float EaseBackIn(float t, float b, float c, float d) |
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{ |
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float s = 1.70158f; |
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float postFix = t/=d; |
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return (c*(postFix)*t*((s + 1)*t - s) + b); |
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} |
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float EaseBackOut(float t, float b, float c, float d) |
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{ |
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float s = 1.70158f; |
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return (c*((t=t/d-1)*t*((s + 1)*t + s) + 1) + b); |
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} |
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float EaseBackInOut(float t, float b, float c, float d) |
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{ |
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float s = 1.70158f; |
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if ((t/=d/2) < 1) return (c/2*(t*t*(((s*=(1.525f)) + 1)*t - s)) + b); |
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float postFix = t-=2; |
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return (c/2*((postFix)*t*(((s*=(1.525f)) + 1)*t + s) + 2) + b); |
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} |
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// Bounce Easing functions |
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float EaseBounceIn(float t, float b, float c, float d) { return (c - EaseBounceOut(d-t, 0, c, d) + b); } |
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float EaseBounceOut(float t, float b, float c, float d) |
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{ |
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if ((t/=d) < (1/2.75f)) |
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{ |
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return (c*(7.5625f*t*t) + b); |
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} |
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else if (t < (2/2.75f)) |
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{ |
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float postFix = t-=(1.5f/2.75f); |
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return (c*(7.5625f*(postFix)*t + 0.75f) + b); |
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} |
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else if (t < (2.5/2.75)) |
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{ |
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float postFix = t-=(2.25f/2.75f); |
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return (c*(7.5625f*(postFix)*t + 0.9375f) + b); |
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} |
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else |
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{ |
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float postFix = t-=(2.625f/2.75f); |
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return (c*(7.5625f*(postFix)*t + 0.984375f) + b); |
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} |
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} |
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float EaseBounceInOut(float t, float b, float c, float d) |
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{ |
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if (t < d/2) return (EaseBounceIn(t*2, 0, c, d)*0.5f + b); |
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else return (EaseBounceOut(t*2-d, 0, c, d)*0.5f + c*0.5f + b); |
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} |
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// Elastic Easing functions |
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float EaseElasticIn(float t, float b, float c, float d) |
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{ |
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if (t == 0) return b; |
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if ((t/=d) == 1) return (b + c); |
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float p = d*0.3f; |
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float a = c; |
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float s = p/4; |
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float postFix = a*pow(2, 10*(t-=1)); |
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return (-(postFix*sin((t*d-s)*(2*PI)/p )) + b); |
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} |
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float EaseElasticOut(float t, float b, float c, float d) |
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{ |
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if (t == 0) return b; |
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if ((t/=d) == 1) return (b + c); |
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float p = d*0.3f; |
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float a = c; |
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float s = p/4; |
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return (a*pow(2,-10*t)*sin((t*d-s)*(2*PI)/p) + c + b); |
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} |
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float EaseElasticInOut(float t, float b, float c, float d) |
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{ |
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if (t == 0) return b; |
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if ((t/=d/2) == 2) return (b + c); |
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float p = d*(0.3f*1.5f); |
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float a = c; |
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float s = p/4; |
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if (t < 1) |
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{ |
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float postFix = a*pow(2, 10*(t-=1)); |
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return -0.5f*(postFix*sin((t*d-s)*(2*PI)/p)) + b; |
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} |
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float postFix = a*pow(2, -10*(t-=1)); |
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return (postFix*sin((t*d-s)*(2*PI)/p)*0.5f + c + b); |
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} |
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#ifdef __cplusplus |
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} |
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#endif |
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#endif // EASINGS_H |