|  | /******************************************************************************************* | 
						
						
							|  | * | 
						
						
							|  | *   reasings - raylib easings library, based on Robert Penner library | 
						
						
							|  | * | 
						
						
							|  | *   Useful easing functions for values animation | 
						
						
							|  | * | 
						
						
							|  | *   This header uses: | 
						
						
							|  | *       #define REASINGS_STATIC_INLINE      // Inlines all functions code, so it runs faster. | 
						
						
							|  | *                                           // This requires lots of memory on system. | 
						
						
							|  | *   How to use: | 
						
						
							|  | *   The four inputs t,b,c,d are defined as follows: | 
						
						
							|  | *   t = current time (in any unit measure, but same unit as duration) | 
						
						
							|  | *   b = starting value to interpolate | 
						
						
							|  | *   c = the total change in value of b that needs to occur | 
						
						
							|  | *   d = total time it should take to complete (duration) | 
						
						
							|  | * | 
						
						
							|  | *   Example: | 
						
						
							|  | * | 
						
						
							|  | *   int currentTime = 0; | 
						
						
							|  | *   int duration = 100; | 
						
						
							|  | *   float startPositionX = 0.0f; | 
						
						
							|  | *   float finalPositionX = 30.0f; | 
						
						
							|  | *   float currentPositionX = startPositionX; | 
						
						
							|  | * | 
						
						
							|  | *   while (currentPositionX < finalPositionX) | 
						
						
							|  | *   { | 
						
						
							|  | *       currentPositionX = EaseSineIn(currentTime, startPositionX, finalPositionX - startPositionX, duration); | 
						
						
							|  | *       currentTime++; | 
						
						
							|  | *   } | 
						
						
							|  | * | 
						
						
							|  | *   A port of Robert Penner's easing equations to C (http://robertpenner.com/easing/) | 
						
						
							|  | * | 
						
						
							|  | *   Robert Penner License | 
						
						
							|  | *   --------------------------------------------------------------------------------- | 
						
						
							|  | *   Open source under the BSD License. | 
						
						
							|  | * | 
						
						
							|  | *   Copyright (c) 2001 Robert Penner. All rights reserved. | 
						
						
							|  | * | 
						
						
							|  | *   Redistribution and use in source and binary forms, with or without modification, | 
						
						
							|  | *   are permitted provided that the following conditions are met: | 
						
						
							|  | * | 
						
						
							|  | *       - Redistributions of source code must retain the above copyright notice, | 
						
						
							|  | *         this list of conditions and the following disclaimer. | 
						
						
							|  | *       - Redistributions in binary form must reproduce the above copyright notice, | 
						
						
							|  | *         this list of conditions and the following disclaimer in the documentation | 
						
						
							|  | *         and/or other materials provided with the distribution. | 
						
						
							|  | *       - Neither the name of the author nor the names of contributors may be used | 
						
						
							|  | *         to endorse or promote products derived from this software without specific | 
						
						
							|  | *         prior written permission. | 
						
						
							|  | * | 
						
						
							|  | *   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND | 
						
						
							|  | *   ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED | 
						
						
							|  | *   WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. | 
						
						
							|  | *   IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, | 
						
						
							|  | *   INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
						
						
							|  | *   BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, | 
						
						
							|  | *   DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | 
						
						
							|  | *   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE | 
						
						
							|  | *   OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | 
						
						
							|  | *   OF THE POSSIBILITY OF SUCH DAMAGE. | 
						
						
							|  | *   --------------------------------------------------------------------------------- | 
						
						
							|  | * | 
						
						
							|  | *   Copyright (c) 2015-2024 Ramon Santamaria (@raysan5) | 
						
						
							|  | * | 
						
						
							|  | *   This software is provided "as-is", without any express or implied warranty. In no event | 
						
						
							|  | *   will the authors be held liable for any damages arising from the use of this software. | 
						
						
							|  | * | 
						
						
							|  | *   Permission is granted to anyone to use this software for any purpose, including commercial | 
						
						
							|  | *   applications, and to alter it and redistribute it freely, subject to the following restrictions: | 
						
						
							|  | * | 
						
						
							|  | *     1. The origin of this software must not be misrepresented; you must not claim that you | 
						
						
							|  | *     wrote the original software. If you use this software in a product, an acknowledgment | 
						
						
							|  | *     in the product documentation would be appreciated but is not required. | 
						
						
							|  | * | 
						
						
							|  | *     2. Altered source versions must be plainly marked as such, and must not be misrepresented | 
						
						
							|  | *     as being the original software. | 
						
						
							|  | * | 
						
						
							|  | *     3. This notice may not be removed or altered from any source distribution. | 
						
						
							|  | * | 
						
						
							|  | **********************************************************************************************/ | 
						
						
							|  | 
 | 
						
						
							|  | #ifndef REASINGS_H | 
						
						
							|  | #define REASINGS_H | 
						
						
							|  |  | 
						
						
							|  | #define REASINGS_STATIC_INLINE     // NOTE: By default, compile functions as static inline | 
						
						
							|  |  | 
						
						
							|  | #if defined(REASINGS_STATIC_INLINE) | 
						
						
							|  |     #define EASEDEF static inline | 
						
						
							|  | #else | 
						
						
							|  |     #define EASEDEF extern | 
						
						
							|  | #endif | 
						
						
							|  |  | 
						
						
							|  | #include <math.h>       // Required for: sinf(), cosf(), sqrtf(), powf() | 
						
						
							|  |  | 
						
						
							|  | #ifndef PI | 
						
						
							|  |     #define PI 3.14159265358979323846f //Required as PI is not always defined in math.h | 
						
						
							|  | #endif | 
						
						
							|  |  | 
						
						
							|  | #if defined(__cplusplus) | 
						
						
							|  | extern "C" {            // Prevents name mangling of functions | 
						
						
							|  | #endif | 
						
						
							|  |  | 
						
						
							|  | // Linear Easing functions | 
						
						
							|  | EASEDEF float EaseLinearNone(float t, float b, float c, float d) { return (c*t/d + b); }                            // Ease: Linear | 
						
						
							|  | EASEDEF float EaseLinearIn(float t, float b, float c, float d) { return (c*t/d + b); }                              // Ease: Linear In | 
						
						
							|  | EASEDEF float EaseLinearOut(float t, float b, float c, float d) { return (c*t/d + b); }                             // Ease: Linear Out | 
						
						
							|  | EASEDEF float EaseLinearInOut(float t, float b, float c, float d) { return (c*t/d + b); }                           // Ease: Linear In Out | 
						
						
							|  |  | 
						
						
							|  | // Sine Easing functions | 
						
						
							|  | EASEDEF float EaseSineIn(float t, float b, float c, float d) { return (-c*cosf(t/d*(PI/2.0f)) + c + b); }            // Ease: Sine In | 
						
						
							|  | EASEDEF float EaseSineOut(float t, float b, float c, float d) { return (c*sinf(t/d*(PI/2.0f)) + b); }                // Ease: Sine Out | 
						
						
							|  | EASEDEF float EaseSineInOut(float t, float b, float c, float d) { return (-c/2.0f*(cosf(PI*t/d) - 1.0f) + b); }      // Ease: Sine In Out | 
						
						
							|  |  | 
						
						
							|  | // Circular Easing functions | 
						
						
							|  | EASEDEF float EaseCircIn(float t, float b, float c, float d) { t /= d; return (-c*(sqrtf(1.0f - t*t) - 1.0f) + b); } // Ease: Circular In | 
						
						
							|  | EASEDEF float EaseCircOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*sqrtf(1.0f - t*t) + b); }  // Ease: Circular Out | 
						
						
							|  | EASEDEF float EaseCircInOut(float t, float b, float c, float d)                                                      // Ease: Circular In Out | 
						
						
							|  | { | 
						
						
							|  |     if ((t/=d/2.0f) < 1.0f) return (-c/2.0f*(sqrtf(1.0f - t*t) - 1.0f) + b); | 
						
						
							|  |     t -= 2.0f; return (c/2.0f*(sqrtf(1.0f - t*t) + 1.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Cubic Easing functions | 
						
						
							|  | EASEDEF float EaseCubicIn(float t, float b, float c, float d) { t /= d; return (c*t*t*t + b); }                      // Ease: Cubic In | 
						
						
							|  | EASEDEF float EaseCubicOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*(t*t*t + 1.0f) + b); }    // Ease: Cubic Out | 
						
						
							|  | EASEDEF float EaseCubicInOut(float t, float b, float c, float d)                                                     // Ease: Cubic In Out | 
						
						
							|  | { | 
						
						
							|  |     if ((t/=d/2.0f) < 1.0f) return (c/2.0f*t*t*t + b); | 
						
						
							|  |     t -= 2.0f; return (c/2.0f*(t*t*t + 2.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Quadratic Easing functions | 
						
						
							|  | EASEDEF float EaseQuadIn(float t, float b, float c, float d) { t /= d; return (c*t*t + b); }                         // Ease: Quadratic In | 
						
						
							|  | EASEDEF float EaseQuadOut(float t, float b, float c, float d) { t /= d; return (-c*t*(t - 2.0f) + b); }              // Ease: Quadratic Out | 
						
						
							|  | EASEDEF float EaseQuadInOut(float t, float b, float c, float d)                                                      // Ease: Quadratic In Out | 
						
						
							|  | { | 
						
						
							|  |     if ((t/=d/2) < 1) return (((c/2)*(t*t)) + b); | 
						
						
							|  |     return (-c/2.0f*(((t - 1.0f)*(t - 3.0f)) - 1.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Exponential Easing functions | 
						
						
							|  | EASEDEF float EaseExpoIn(float t, float b, float c, float d) { return (t == 0.0f) ? b : (c*powf(2.0f, 10.0f*(t/d - 1.0f)) + b); }       // Ease: Exponential In | 
						
						
							|  | EASEDEF float EaseExpoOut(float t, float b, float c, float d) { return (t == d) ? (b + c) : (c*(-powf(2.0f, -10.0f*t/d) + 1.0f) + b); } // Ease: Exponential Out | 
						
						
							|  | EASEDEF float EaseExpoInOut(float t, float b, float c, float d)                                                                         // Ease: Exponential In Out | 
						
						
							|  | { | 
						
						
							|  |     if (t == 0.0f) return b; | 
						
						
							|  |     if (t == d) return (b + c); | 
						
						
							|  |     if ((t/=d/2.0f) < 1.0f) return (c/2.0f*powf(2.0f, 10.0f*(t - 1.0f)) + b); | 
						
						
							|  | 
 | 
						
						
							|  |     return (c/2.0f*(-powf(2.0f, -10.0f*(t - 1.0f)) + 2.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Back Easing functions | 
						
						
							|  | EASEDEF float EaseBackIn(float t, float b, float c, float d) // Ease: Back In | 
						
						
							|  | { | 
						
						
							|  |     float s = 1.70158f; | 
						
						
							|  |     float postFix = t/=d; | 
						
						
							|  |     return (c*(postFix)*t*((s + 1.0f)*t - s) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | EASEDEF float EaseBackOut(float t, float b, float c, float d) // Ease: Back Out | 
						
						
							|  | { | 
						
						
							|  |     float s = 1.70158f; | 
						
						
							|  |     t = t/d - 1.0f; | 
						
						
							|  |     return (c*(t*t*((s + 1.0f)*t + s) + 1.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | EASEDEF float EaseBackInOut(float t, float b, float c, float d) // Ease: Back In Out | 
						
						
							|  | { | 
						
						
							|  |     float s = 1.70158f; | 
						
						
							|  |     if ((t/=d/2.0f) < 1.0f) | 
						
						
							|  |     { | 
						
						
							|  |         s *= 1.525f; | 
						
						
							|  |         return (c/2.0f*(t*t*((s + 1.0f)*t - s)) + b); | 
						
						
							|  |     } | 
						
						
							|  | 
 | 
						
						
							|  |     float postFix = t-=2.0f; | 
						
						
							|  |     s *= 1.525f; | 
						
						
							|  |     return (c/2.0f*((postFix)*t*((s + 1.0f)*t + s) + 2.0f) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Bounce Easing functions | 
						
						
							|  | EASEDEF float EaseBounceOut(float t, float b, float c, float d) // Ease: Bounce Out | 
						
						
							|  | { | 
						
						
							|  |     if ((t/=d) < (1.0f/2.75f)) | 
						
						
							|  |     { | 
						
						
							|  |         return (c*(7.5625f*t*t) + b); | 
						
						
							|  |     } | 
						
						
							|  |     else if (t < (2.0f/2.75f)) | 
						
						
							|  |     { | 
						
						
							|  |         float postFix = t-=(1.5f/2.75f); | 
						
						
							|  |         return (c*(7.5625f*(postFix)*t + 0.75f) + b); | 
						
						
							|  |     } | 
						
						
							|  |     else if (t < (2.5/2.75)) | 
						
						
							|  |     { | 
						
						
							|  |         float postFix = t-=(2.25f/2.75f); | 
						
						
							|  |         return (c*(7.5625f*(postFix)*t + 0.9375f) + b); | 
						
						
							|  |     } | 
						
						
							|  |     else | 
						
						
							|  |     { | 
						
						
							|  |         float postFix = t-=(2.625f/2.75f); | 
						
						
							|  |         return (c*(7.5625f*(postFix)*t + 0.984375f) + b); | 
						
						
							|  |     } | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | EASEDEF float EaseBounceIn(float t, float b, float c, float d) { return (c - EaseBounceOut(d - t, 0.0f, c, d) + b); } // Ease: Bounce In | 
						
						
							|  | EASEDEF float EaseBounceInOut(float t, float b, float c, float d) // Ease: Bounce In Out | 
						
						
							|  | { | 
						
						
							|  |     if (t < d/2.0f) return (EaseBounceIn(t*2.0f, 0.0f, c, d)*0.5f + b); | 
						
						
							|  |     else return (EaseBounceOut(t*2.0f - d, 0.0f, c, d)*0.5f + c*0.5f + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | // Elastic Easing functions | 
						
						
							|  | EASEDEF float EaseElasticIn(float t, float b, float c, float d) // Ease: Elastic In | 
						
						
							|  | { | 
						
						
							|  |     if (t == 0.0f) return b; | 
						
						
							|  |     if ((t/=d) == 1.0f) return (b + c); | 
						
						
							|  | 
 | 
						
						
							|  |     float p = d*0.3f; | 
						
						
							|  |     float a = c; | 
						
						
							|  |     float s = p/4.0f; | 
						
						
							|  |     float postFix = a*powf(2.0f, 10.0f*(t-=1.0f)); | 
						
						
							|  | 
 | 
						
						
							|  |     return (-(postFix*sinf((t*d-s)*(2.0f*PI)/p )) + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | EASEDEF float EaseElasticOut(float t, float b, float c, float d) // Ease: Elastic Out | 
						
						
							|  | { | 
						
						
							|  |     if (t == 0.0f) return b; | 
						
						
							|  |     if ((t/=d) == 1.0f) return (b + c); | 
						
						
							|  | 
 | 
						
						
							|  |     float p = d*0.3f; | 
						
						
							|  |     float a = c; | 
						
						
							|  |     float s = p/4.0f; | 
						
						
							|  | 
 | 
						
						
							|  |     return (a*powf(2.0f,-10.0f*t)*sinf((t*d-s)*(2.0f*PI)/p) + c + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | EASEDEF float EaseElasticInOut(float t, float b, float c, float d) // Ease: Elastic In Out | 
						
						
							|  | { | 
						
						
							|  |     if (t == 0.0f) return b; | 
						
						
							|  |     if ((t/=d/2.0f) == 2.0f) return (b + c); | 
						
						
							|  | 
 | 
						
						
							|  |     float p = d*(0.3f*1.5f); | 
						
						
							|  |     float a = c; | 
						
						
							|  |     float s = p/4.0f; | 
						
						
							|  | 
 | 
						
						
							|  |     if (t < 1.0f) | 
						
						
							|  |     { | 
						
						
							|  |         float postFix = a*powf(2.0f, 10.0f*(t-=1.0f)); | 
						
						
							|  |         return -0.5f*(postFix*sinf((t*d-s)*(2.0f*PI)/p)) + b; | 
						
						
							|  |     } | 
						
						
							|  | 
 | 
						
						
							|  |     float postFix = a*powf(2.0f, -10.0f*(t-=1.0f)); | 
						
						
							|  | 
 | 
						
						
							|  |     return (postFix*sinf((t*d-s)*(2.0f*PI)/p)*0.5f + c + b); | 
						
						
							|  | } | 
						
						
							|  | 
 | 
						
						
							|  | #if defined(__cplusplus) | 
						
						
							|  | } | 
						
						
							|  | #endif | 
						
						
							|  |  | 
						
						
							|  | #endif // REASINGS_H
 |