263 lines
9.6 KiB
C
263 lines
9.6 KiB
C
/*******************************************************************************************
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*
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* raylib easings (header only file)
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*
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* Useful easing functions for values animation
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*
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* This header uses:
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* #define EASINGS_STATIC_INLINE // Inlines all functions code, so it runs faster.
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* // This requires lots of memory on system.
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* How to use:
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* The four inputs t,b,c,d are defined as follows:
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* t = current time (in any unit measure, but same unit as duration)
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* b = starting value to interpolate
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* c = the total change in value of b that needs to occur
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* d = total time it should take to complete (duration)
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*
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* Example:
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*
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* int currentTime = 0;
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* int duration = 100;
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* float startPositionX = 0.0f;
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* float finalPositionX = 30.0f;
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* float currentPositionX = startPositionX;
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*
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* while (currentPositionX < finalPositionX)
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* {
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* currentPositionX = EaseSineIn(currentTime, startPositionX, finalPositionX - startPositionX, duration);
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* currentTime++;
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* }
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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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#define EASINGS_STATIC_INLINE // NOTE: By default, compile functions as static inline
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#if defined(EASINGS_STATIC_INLINE)
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#define EASEDEF static inline
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#else
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#define EASEDEF extern
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#endif
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#include <math.h> // Required for: sinf(), cosf(), sqrtf(), powf()
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#ifndef PI
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#define PI 3.14159265358979323846f //Required as PI is not always defined in math.h
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#endif
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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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EASEDEF float EaseLinearNone(float t, float b, float c, float d) { return (c*t/d + b); }
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EASEDEF float EaseLinearIn(float t, float b, float c, float d) { return (c*t/d + b); }
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EASEDEF float EaseLinearOut(float t, float b, float c, float d) { return (c*t/d + b); }
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EASEDEF 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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EASEDEF float EaseSineIn(float t, float b, float c, float d) { return (-c*cosf(t/d*(PI/2.0f)) + c + b); }
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EASEDEF float EaseSineOut(float t, float b, float c, float d) { return (c*sinf(t/d*(PI/2.0f)) + b); }
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EASEDEF float EaseSineInOut(float t, float b, float c, float d) { return (-c/2.0f*(cosf(PI*t/d) - 1.0f) + b); }
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// Circular Easing functions
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EASEDEF float EaseCircIn(float t, float b, float c, float d) { t /= d; return (-c*(sqrtf(1.0f - t*t) - 1.0f) + b); }
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EASEDEF float EaseCircOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*sqrtf(1.0f - t*t) + b); }
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EASEDEF float EaseCircInOut(float t, float b, float c, float d)
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{
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if ((t/=d/2.0f) < 1.0f) return (-c/2.0f*(sqrtf(1.0f - t*t) - 1.0f) + b);
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t -= 2.0f; return (c/2.0f*(sqrtf(1.0f - t*t) + 1.0f) + b);
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}
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// Cubic Easing functions
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EASEDEF float EaseCubicIn(float t, float b, float c, float d) { t /= d; return (c*t*t*t + b); }
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EASEDEF float EaseCubicOut(float t, float b, float c, float d) { t = t/d - 1.0f; return (c*(t*t*t + 1.0f) + b); }
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EASEDEF float EaseCubicInOut(float t, float b, float c, float d)
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{
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if ((t/=d/2.0f) < 1.0f) return (c/2.0f*t*t*t + b);
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t -= 2.0f; return (c/2.0f*(t*t*t + 2.0f) + b);
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}
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// Quadratic Easing functions
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EASEDEF float EaseQuadIn(float t, float b, float c, float d) { t /= d; return (c*t*t + b); }
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EASEDEF float EaseQuadOut(float t, float b, float c, float d) { t /= d; return (-c*t*(t - 2.0f) + b); }
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EASEDEF 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/2.0f*(((t - 1.0f)*(t - 3.0f)) - 1.0f) + b);
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}
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// Exponential Easing functions
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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); }
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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); }
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EASEDEF float EaseExpoInOut(float t, float b, float c, float d)
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{
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if (t == 0.0f) return b;
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if (t == d) return (b + c);
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if ((t/=d/2.0f) < 1.0f) return (c/2.0f*powf(2.0f, 10.0f*(t - 1.0f)) + b);
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return (c/2.0f*(-powf(2.0f, -10.0f*(t - 1.0f)) + 2.0f) + b);
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}
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// Back Easing functions
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EASEDEF 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 + 1.0f)*t - s) + b);
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}
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EASEDEF 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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t = t/d - 1.0f;
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return (c*(t*t*((s + 1.0f)*t + s) + 1.0f) + b);
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}
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EASEDEF 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/2.0f) < 1.0f)
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{
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s *= 1.525f;
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return (c/2.0f*(t*t*((s + 1.0f)*t - s)) + b);
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}
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float postFix = t-=2.0f;
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s *= 1.525f;
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return (c/2.0f*((postFix)*t*((s + 1.0f)*t + s) + 2.0f) + b);
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}
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// Bounce Easing functions
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EASEDEF float EaseBounceOut(float t, float b, float c, float d)
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{
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if ((t/=d) < (1.0f/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 < (2.0f/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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EASEDEF float EaseBounceIn(float t, float b, float c, float d) { return (c - EaseBounceOut(d - t, 0.0f, c, d) + b); }
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EASEDEF float EaseBounceInOut(float t, float b, float c, float d)
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{
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if (t < d/2.0f) return (EaseBounceIn(t*2.0f, 0.0f, c, d)*0.5f + b);
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else return (EaseBounceOut(t*2.0f - d, 0.0f, c, d)*0.5f + c*0.5f + b);
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}
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// Elastic Easing functions
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EASEDEF float EaseElasticIn(float t, float b, float c, float d)
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{
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if (t == 0.0f) return b;
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if ((t/=d) == 1.0f) 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/4.0f;
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float postFix = a*powf(2.0f, 10.0f*(t-=1.0f));
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return (-(postFix*sinf((t*d-s)*(2.0f*PI)/p )) + b);
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}
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EASEDEF float EaseElasticOut(float t, float b, float c, float d)
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{
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if (t == 0.0f) return b;
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if ((t/=d) == 1.0f) 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/4.0f;
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return (a*powf(2.0f,-10.0f*t)*sinf((t*d-s)*(2.0f*PI)/p) + c + b);
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}
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EASEDEF float EaseElasticInOut(float t, float b, float c, float d)
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{
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if (t == 0.0f) return b;
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if ((t/=d/2.0f) == 2.0f) 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/4.0f;
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if (t < 1.0f)
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{
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float postFix = a*powf(2.0f, 10.0f*(t-=1.0f));
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return -0.5f*(postFix*sinf((t*d-s)*(2.0f*PI)/p)) + b;
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}
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float postFix = a*powf(2.0f, -10.0f*(t-=1.0f));
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return (postFix*sinf((t*d-s)*(2.0f*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
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