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+/*******************************************************************************************
+*
+* raylib easings (header only file)
+*
+* Useful easing functions for values animation
+*
+* This header uses:
+* #define EASINGS_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 Ramon Santamaria
+*
+* 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 EASINGS_H
+#define EASINGS_H
+
+#define EASINGS_STATIC_INLINE // NOTE: By default, compile functions as static inline
+
+#if defined(EASINGS_STATIC_INLINE)
+ #define EASEDEF static inline
+#else
+ #define EASEDEF extern
+#endif
+
+#include <math.h> // Required for: sinf(), cosf(), sqrt(), pow()
+
+#ifndef PI
+ #define PI 3.14159265358979323846f //Required as PI is not always defined in math.h
+#endif
+
+#ifdef __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); }
+EASEDEF float EaseLinearIn(float t, float b, float c, float d) { return (c*t/d + b); }
+EASEDEF float EaseLinearOut(float t, float b, float c, float d) { return (c*t/d + b); }
+EASEDEF float EaseLinearInOut(float t,float b, float c, float d) { return (c*t/d + b); }
+
+// Sine Easing functions
+EASEDEF float EaseSineIn(float t, float b, float c, float d) { return (-c*cosf(t/d*(PI/2.0f)) + c + b); }
+EASEDEF float EaseSineOut(float t, float b, float c, float d) { return (c*sinf(t/d*(PI/2.0f)) + b); }
+EASEDEF float EaseSineInOut(float t, float b, float c, float d) { return (-c/2.0f*(cosf(PI*t/d) - 1.0f) + b); }
+
+// Circular Easing functions
+EASEDEF float EaseCircIn(float t, float b, float c, float d) { t /= d; return (-c*(sqrt(1.0f - t*t) - 1.0f) + b); }
+EASEDEF float EaseCircOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*sqrt(1.0f - t*t) + b); }
+EASEDEF float EaseCircInOut(float t, float b, float c, float d)
+{
+ if ((t/=d/2.0f) < 1.0f) return (-c/2.0f*(sqrt(1.0f - t*t) - 1.0f) + b);
+ t -= 2.0f; return (c/2.0f*(sqrt(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); }
+EASEDEF float EaseCubicOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*(t*t*t + 1.0f) + b); }
+EASEDEF float EaseCubicInOut(float t, float b, float c, float d)
+{
+ 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); }
+EASEDEF float EaseQuadOut(float t, float b, float c, float d) { t /= d; return (-c*t*(t - 2.0f) + b); }
+EASEDEF float EaseQuadInOut(float t, float b, float c, float d)
+{
+ 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*pow(2.0f, 10.0f*(t/d - 1.0f)) + b); }
+EASEDEF float EaseExpoOut(float t, float b, float c, float d) { return (t == d) ? (b + c) : (c*(-pow(2.0f, -10.0f*t/d) + 1.0f) + b); }
+EASEDEF float EaseExpoInOut(float t, float b, float c, float d)
+{
+ if (t == 0.0f) return b;
+ if (t == d) return (b + c);
+ if ((t/=d/2.0f) < 1.0f) return (c/2.0f*pow(2.0f, 10.0f*(t - 1.0f)) + b);
+
+ return (c/2.0f*(-pow(2.0f, -10.0f*(t - 1.0f)) + 2.0f) + b);
+}
+
+// Back Easing functions
+EASEDEF float EaseBackIn(float t, float b, float c, float d)
+{
+ 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)
+{
+ 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)
+{
+ 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)
+{
+ 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); }
+EASEDEF float EaseBounceInOut(float t, float b, float c, float d)
+{
+ 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)
+{
+ 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*pow(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)
+{
+ 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*pow(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)
+{
+ 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*pow(2.0f, 10.0f*(t-=1.0f));
+ return -0.5f*(postFix*sinf((t*d-s)*(2.0f*PI)/p)) + b;
+ }
+
+ float postFix = a*pow(2.0f, -10.0f*(t-=1.0f));
+
+ return (postFix*sinf((t*d-s)*(2.0f*PI)/p)*0.5f + c + b);
+}
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif // EASINGS_H