CCTweenFunction.cpp

/****************************************************************************
Copyright (c) 2013-2016 Chukong Technologies Inc.
Copyright (c) 2017-2018 Xiamen Yaji Software Co., Ltd.

http://www.cocos2d-x.org

Permission is hereby granted, free of charge, to any person obtaining a copy
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#include "2d/CCTweenFunction.h"
#include <cmath>

#define _USE_MATH_DEFINES // needed for M_PI and M_PI2
#include <math.h> // M_PI
#undef _USE_MATH_DEFINES

NS_CC_BEGIN

namespace tweenfunc {
    

#ifndef M_PI_X_2
#define M_PI_X_2 (float)M_PI * 2.0f
#endif




float tweenTo(float time, TweenType type, float *easingParam)
{
    float delta = 0;

    switch (type)
    {
        case CUSTOM_EASING:
            delta = customEase(time, easingParam);
            break;
            
        case Linear:
            delta = linear(time);
            break;
            
        case Sine_EaseIn:
            delta = sineEaseIn(time);
            break;
        case Sine_EaseOut:
            delta = sineEaseOut(time);
            break;
        case Sine_EaseInOut:
            delta = sineEaseInOut(time);
            break;
            
        case Quad_EaseIn:
            delta = quadEaseIn(time);
            break;
        case Quad_EaseOut:
            delta = quadEaseOut(time);
            break;
        case Quad_EaseInOut:
            delta = quadEaseInOut(time);
            break;
            
        case Cubic_EaseIn:
            delta = cubicEaseIn(time);
            break;
        case Cubic_EaseOut:
            delta = cubicEaseOut(time);
            break;
        case Cubic_EaseInOut:
            delta = cubicEaseInOut(time);
            break;
            
        case Quart_EaseIn:
            delta = quartEaseIn(time);
            break;
        case Quart_EaseOut:
            delta = quartEaseOut(time);
            break;
        case Quart_EaseInOut:
            delta = quartEaseInOut(time);
            break;
            
        case Quint_EaseIn:
            delta = quintEaseIn(time);
            break;
        case Quint_EaseOut:
            delta = quintEaseOut(time);
            break;
        case Quint_EaseInOut:
            delta = quintEaseInOut(time);
            break;
            
        case Expo_EaseIn:
            delta = expoEaseIn(time);
            break;
        case Expo_EaseOut:
            delta = expoEaseOut(time);
            break;
        case Expo_EaseInOut:
            delta = expoEaseInOut(time);
            break;
            
        case Circ_EaseIn:
            delta = circEaseIn(time);
            break;
        case Circ_EaseOut:
            delta = circEaseOut(time);
            break;
        case Circ_EaseInOut:
            delta = circEaseInOut(time);
            break;
            
        case Elastic_EaseIn:
        {
            float period = 0.3f;
            if (nullptr != easingParam) {
                period = easingParam[0];
            }
            delta = elasticEaseIn(time, period);
        }
            break;
        case Elastic_EaseOut:
        {
            float period = 0.3f;
            if (nullptr != easingParam) {
                period = easingParam[0];
            }
            delta = elasticEaseOut(time, period);
        }
            break;
        case Elastic_EaseInOut:
        {
            float period = 0.3f;
            if (nullptr != easingParam) {
                period = easingParam[0];
            }
            delta = elasticEaseInOut(time, period);
        }
            break;
            
            
        case Back_EaseIn:
            delta = backEaseIn(time);
            break;
        case Back_EaseOut:
            delta = backEaseOut(time);
            break;
        case Back_EaseInOut:
            delta = backEaseInOut(time);
            break;
            
        case Bounce_EaseIn:
            delta = bounceEaseIn(time);
            break;
        case Bounce_EaseOut:
            delta = bounceEaseOut(time);
            break;
        case Bounce_EaseInOut:
            delta = bounceEaseInOut(time);
            break;
            
        default:
            delta = sineEaseInOut(time);
            break;
    }

    return delta;
}

// Linear
float linear(float time)
{
    return time;
}


// Sine Ease
float sineEaseIn(float time)
{
    return -1 * cosf(time * (float)M_PI_2) + 1;
}
    
float sineEaseOut(float time)
{
    return sinf(time * (float)M_PI_2);
}
    
float sineEaseInOut(float time)
{
    return -0.5f * (cosf((float)M_PI * time) - 1);
}


// Quad Ease
float quadEaseIn(float time)
{
    return time * time;
}
    
float quadEaseOut(float time)
{
    return -1 * time * (time - 2);
}
    
float quadEaseInOut(float time)
{
    time = time*2;
    if (time < 1)
        return 0.5f * time * time;
    --time;
    return -0.5f * (time * (time - 2) - 1);
}



// Cubic Ease
float cubicEaseIn(float time)
{
    return time * time * time;
}
float cubicEaseOut(float time)
{
    time -= 1;
    return (time * time * time + 1);
}
float cubicEaseInOut(float time)
{
    time = time*2;
    if (time < 1)
        return 0.5f * time * time * time;
    time -= 2;
    return 0.5f * (time * time * time + 2);
}


// Quart Ease
float quartEaseIn(float time)
{
    return time * time * time * time;
}
    
float quartEaseOut(float time)
{
    time -= 1;
    return -(time * time * time * time - 1);
}
    
float quartEaseInOut(float time)
{
    time = time*2;
    if (time < 1)
        return 0.5f * time * time * time * time;
    time -= 2;
    return -0.5f * (time * time * time * time - 2);
}


// Quint Ease
float quintEaseIn(float time)
{
    return time * time * time * time * time;
}
    
float quintEaseOut(float time)
{
    time -=1;
    return (time * time * time * time * time + 1);
}
    
float quintEaseInOut(float time)
{
    time = time*2;
    if (time < 1)
        return 0.5f * time * time * time * time * time;
    time -= 2;
    return 0.5f * (time * time * time * time * time + 2);
}


// Expo Ease
float expoEaseIn(float time)
{
    return time == 0 ? 0 : powf(2, 10 * (time/1 - 1)) - 1 * 0.001f;
}
float expoEaseOut(float time)
{
    return time == 1 ? 1 : (-powf(2, -10 * time / 1) + 1);
}
float expoEaseInOut(float time)
{
    if(time == 0 || time == 1) 
        return time;
    
    if (time < 0.5f)
        return 0.5f * powf(2, 10 * (time * 2 - 1));

    return 0.5f * (-powf(2, -10 * (time * 2 - 1)) + 2);
}


// Circ Ease
float circEaseIn(float time)
{
    return -1 * (std::sqrt(1 - time * time) - 1);
}
float circEaseOut(float time)
{
    time = time - 1;
    return std::sqrt(1 - time * time);
}
float circEaseInOut(float time)
{
    time = time * 2;
    if (time < 1)
        return -0.5f * (std::sqrt(1 - time * time) - 1);
    time -= 2;
    return 0.5f * (std::sqrt(1 - time * time) + 1);
}


// Elastic Ease
float elasticEaseIn(float time, float period)
{

    float newT = 0;
    if (time == 0 || time == 1)
    {
        newT = time;
    }
    else
    {
        float s = period / 4;
        time = time - 1;
        newT = -powf(2, 10 * time) * sinf((time - s) * M_PI_X_2 / period);
    }

    return newT;
}
float elasticEaseOut(float time, float period)
{

    float newT = 0;
    if (time == 0 || time == 1)
    {
        newT = time;
    }
    else
    {
        float s = period / 4;
        newT = powf(2, -10 * time) * sinf((time - s) * M_PI_X_2 / period) + 1;
    }

    return newT;
}
float elasticEaseInOut(float time, float period)
{

    float newT = 0;
    if (time == 0 || time == 1)
    {
        newT = time;
    }
    else
    {
        time = time * 2;
        if (! period)
        {
            period = 0.3f * 1.5f;
        }

        float s = period / 4;

        time = time - 1;
        if (time < 0)
        {
            newT = -0.5f * powf(2, 10 * time) * sinf((time -s) * M_PI_X_2 / period);
        }
        else
        {
            newT = powf(2, -10 * time) * sinf((time - s) * M_PI_X_2 / period) * 0.5f + 1;
        }
    }
    return newT;
}


// Back Ease
float backEaseIn(float time)
{
    float overshoot = 1.70158f;
    return time * time * ((overshoot + 1) * time - overshoot);
}
float backEaseOut(float time)
{
    float overshoot = 1.70158f;

    time = time - 1;
    return time * time * ((overshoot + 1) * time + overshoot) + 1;
}
float backEaseInOut(float time)
{
    float overshoot = 1.70158f * 1.525f;

    time = time * 2;
    if (time < 1)
    {
        return (time * time * ((overshoot + 1) * time - overshoot)) / 2;
    }
    else
    {
        time = time - 2;
        return (time * time * ((overshoot + 1) * time + overshoot)) / 2 + 1;
    }
}



// Bounce Ease
float bounceTime(float time)
{
    if (time < 1 / 2.75f)
    {
        return 7.5625f * time * time;
    }
    else if (time < 2 / 2.75f)
    {
        time -= 1.5f / 2.75f;
        return 7.5625f * time * time + 0.75f;
    }
    else if(time < 2.5f / 2.75f)
    {
        time -= 2.25f / 2.75f;
        return 7.5625f * time * time + 0.9375f;
    }

    time -= 2.625f / 2.75f;
    return 7.5625f * time * time + 0.984375f;
}
float bounceEaseIn(float time)
{
    return 1 - bounceTime(1 - time);
}

float bounceEaseOut(float time)
{
    return bounceTime(time);
}

float bounceEaseInOut(float time)
{
    float newT = 0;
    if (time < 0.5f)
    {
        time = time * 2;
        newT = (1 - bounceTime(1 - time)) * 0.5f;
    }
    else
    {
        newT = bounceTime(time * 2 - 1) * 0.5f + 0.5f;
    }

    return newT;
}


// Custom Ease
float customEase(float time, float *easingParam)
{
    if (easingParam)
    {
        float tt = 1-time;
        return easingParam[1]*tt*tt*tt + 3*easingParam[3]*time*tt*tt + 3*easingParam[5]*time*time*tt + easingParam[7]*time*time*time;
    }
    return time;
}

float easeIn(float time, float rate)
{
    return powf(time, rate);
}

float easeOut(float time, float rate)
{
    return powf(time, 1 / rate);
}
    
float easeInOut(float time, float rate)
{
    time *= 2;
    if (time < 1)
    {
        return 0.5f * powf(time, rate);
    }
    else
    {
        return (1.0f - 0.5f * powf(2 - time, rate));
    }
}
    
float quadraticIn(float time)
{
    return   powf(time,2);
}
    
float quadraticOut(float time)
{
    return -time*(time-2);
}
    
float quadraticInOut(float time)
{
    
    float resultTime = time;
    time = time*2;
    if (time < 1)
    {
        resultTime = time * time * 0.5f;
    }
    else
    {
        --time;
        resultTime = -0.5f * (time * (time - 2) - 1);
    }
    return resultTime;
}
    
float bezieratFunction( float a, float b, float c, float d, float t )
{
    return (powf(1-t,3) * a + 3*t*(powf(1-t,2))*b + 3*powf(t,2)*(1-t)*c + powf(t,3)*d );
}
    
}

NS_CC_END