Predefined easing functions. More...

#include <gf/Easings.h>

Public Member Functions
	Ease ()=delete
	Deleted constructor. More...

Static Public Member Functions
static float	linear (float t)
	Linear easing. More...

static float	smooth (float t)
	Smooth easing. More...

static float	smoother (float t)
	Smoother easing. More...

static float	quadIn (float t)
	Ease-In flavor of quad easing. More...

static float	quadOut (float t)
	Ease-Out flavor of quad easing. More...

static float	quadInOut (float t)
	Ease-In-Out flavor of quad easing. More...

static float	quadOutIn (float t)
	Ease-Out-In flavor of quad easing. More...

static float	cubicIn (float t)
	Ease-In flavor of cubic easing. More...

static float	cubicOut (float t)
	Ease-Out flavor of cubic easing. More...

static float	cubicInOut (float t)
	Ease-In-Out flavor of cubic easing. More...

static float	cubicOutIn (float t)
	Ease-Out-In flavor of cubic easing. More...

static float	quartIn (float t)
	Ease-In flavor of quart easing. More...

static float	quartOut (float t)
	Ease-Out flavor of quart easing. More...

static float	quartInOut (float t)
	Ease-In-Out flavor of quart easing. More...

static float	quartOutIn (float t)
	Ease-Out-In flavor of quart easing. More...

static float	quintIn (float t)
	Ease-In flavor of quint easing. More...

static float	quintOut (float t)
	Ease-Out flavor of quint easing. More...

static float	quintInOut (float t)
	Ease-In-Out flavor of quint easing. More...

static float	quintOutIn (float t)
	Ease-Out-In flavor of quint easing. More...

static float	circIn (float t)
	Ease-In flavor of circ easing. More...

static float	circOut (float t)
	Ease-Out flavor of circ easing. More...

static float	circInOut (float t)
	Ease-In-Out flavor of circ easing. More...

static float	circOutIn (float t)
	Ease-Out-In flavor of circ easing. More...

static float	sineIn (float t)
	Ease-In flavor of sine easing. More...

static float	sineOut (float t)
	Ease-Out flavor of sine easing. More...

static float	sineInOut (float t)
	Ease-In-Out flavor of sine easing. More...

static float	sineOutIn (float t)
	Ease-Out-In flavor of sine easing. More...

static float	backIn (float t)
	Ease-In flavor of back easing. More...

static float	backOut (float t)
	Ease-Out flavor of back easing. More...

static float	backInOut (float t)
	Ease-In-Out flavor of back easing. More...

static float	backOutIn (float t)
	Ease-Out-In flavor of back easing. More...

static float	bounceIn (float t)
	Ease-In flavor of bounce easing. More...

static float	bounceOut (float t)
	Ease-Out flavor of bounce easing. More...

static float	bounceInOut (float t)
	Ease-Out-In flavor of bounce easing. More...

static float	bounceOutIn (float t)
	Ease-In-Out flavor of bounce easing. More...

static float	elasticIn (float t)
	Ease-In flavor of elastic easing. More...

static float	elasticOut (float t)
	Ease-Out flavor of elastic easing. More...

static float	elasticInOut (float t)
	Ease-In-Out flavor of elastic easing. More...

static float	elasticOutIn (float t)
	Ease-Out-In flavor of elastic easing. More...

static float	expoIn (float t)
	Ease-In flavor of expo easing. More...

static float	expoOut (float t)
	Ease-Out flavor of expo easing. More...

static float	expoInOut (float t)
	Ease-In-Out flavor of expo easing. More...

static float	expoOutIn (float t)
	Ease-Out-In flavor of expo easing. More...

Detailed Description

Predefined easing functions.

This class defines usual easing functions.

First set of easing functions

The first set of functions are common interpolation functions.

linear
\[ f(t) = t \]
smooth
\[ f(t) = -2 * t^3 + 3 * t^2 \]
smoother
\[ f(t) = 6 * t^5 - 15 * t^4 + 10 * t^3 \]

Here are the plots of these functions:

Functions	Plot
linear
smooth
smoother

Second set of easing functions

Definitions

The second set are the easing functions defined by Robert Penner. From a base function \( f(t) \), four flavors are defined:

Ease-In: start slow and speed up at the end
\[ \mathtt{easeIn}(t) = f(t) \]
Ease-Out: start fast and slow down at the end
\[ \mathtt{easeOut}(t) = 1 - \mathtt{easeIn}(1 - t) \]
Ease-In-Out: start slow, then speed up in the middle and finally slow down at the end
\[ \mathtt{easeInOut}(t) = \begin{cases} \mathtt{easeIn}(2 \times t) \div 2 & \text{if } t < 0.5 \\ \mathtt{easeOut}(2 \times t + 1) \div 2 + 0.5 & \text{if } t \geq 0.5 \end{cases} \]
Ease-Out-In: start fast, then slow down in the middle and finally speed up at the end
\[ \mathtt{easeOutIn}(t) = \begin{cases} \mathtt{easeOut}(2 \times t) \div 2 & \text{if } t < 0.5 \\ \mathtt{easeIn}(2 \times t + 1) \div 2 + 0.5 & \text{if } t \geq 0.5 \end{cases} \]

Base functions

Here are the base functions:

quad
\[ f(t) = t^2 \]
cubic
\[ f(t) = t^3 \]
quart
\[ f(t) = t^4 \]
quint
\[ f(t) = t^5 \]
sine
\[ f(t) = 1 - \cos\left(t \times \frac{\pi}{2}\right)\]
expo
\[ f(t) = \begin{cases} 0 & \text{if } t = 0 \\ 2^{10 \times (t - 1)} & \text{if } t > 0 \end{cases} \]
circ
\[ f(t) = 1 - \sqrt{1 - t^2} \]
back
\[ f(t) = t^2 \times (2.70158 \times t - 1.70158) \]
bounce
\[ f(t) = \begin{cases} 1 - 7.5625 \times (1 - t)^2 & \text{if } 1 - t < 1 / 2.75 \\ 1 - (7.5625 \times (1 - t - 1.5 / 2.75)^2 + 0.75) & \text{if } 1 - t < 2 / 2.75 \\ 1 - (7.5625 \times (1 - t - 2.25 / 2.75)^2 + 0.9375) & \text{if } 1 - t < 2.5 / 2.75 \\ 1 - (7.5625 \times (1 - t - 2.625 / 2.75)^2 + 0.984375) & \text{otherwise} \end{cases} \]
elastic
\[ f(t) = -2^{10 \times (t - 1)} \times \sin\left(\left((t - 1) - \frac{0.3}{4}\right) \times \frac{2 \times \pi}{0.3}\right) \]

Plots

Here are the plots for all the defined easing functions:

Function	Ease-In	Ease-Out	Ease-In-Out	Ease-Out-In
quad
cubic
quart
quint
sine
expo
circ
back
bounce
elastic

See also: gf::Easing; Robert Penner's Easing Functions; Easing Functions Cheat Sheet

Constructor & Destructor Documentation

◆ Ease()

gf::Ease::Ease ( )

delete

Deleted constructor.

Member Function Documentation

◆ backIn()

static float gf::Ease::backIn ( float t )

static

Ease-In flavor of back easing.

◆ backInOut()

static float gf::Ease::backInOut ( float t )

static

Ease-In-Out flavor of back easing.

◆ backOut()

static float gf::Ease::backOut ( float t )

static

Ease-Out flavor of back easing.

◆ backOutIn()

static float gf::Ease::backOutIn ( float t )

static

Ease-Out-In flavor of back easing.

◆ bounceIn()

static float gf::Ease::bounceIn ( float t )

static

Ease-In flavor of bounce easing.

◆ bounceInOut()

static float gf::Ease::bounceInOut ( float t )

static

Ease-Out-In flavor of bounce easing.

◆ bounceOut()

static float gf::Ease::bounceOut ( float t )

static

Ease-Out flavor of bounce easing.

◆ bounceOutIn()

static float gf::Ease::bounceOutIn ( float t )

static

Ease-In-Out flavor of bounce easing.

◆ circIn()

static float gf::Ease::circIn ( float t )

static

Ease-In flavor of circ easing.

◆ circInOut()

static float gf::Ease::circInOut ( float t )

static

Ease-In-Out flavor of circ easing.

◆ circOut()

static float gf::Ease::circOut ( float t )

static

Ease-Out flavor of circ easing.

◆ circOutIn()

static float gf::Ease::circOutIn ( float t )

static

Ease-Out-In flavor of circ easing.

◆ cubicIn()

static float gf::Ease::cubicIn ( float t )

static

Ease-In flavor of cubic easing.

◆ cubicInOut()

static float gf::Ease::cubicInOut ( float t )

static

Ease-In-Out flavor of cubic easing.

◆ cubicOut()

static float gf::Ease::cubicOut ( float t )

static

Ease-Out flavor of cubic easing.

◆ cubicOutIn()

static float gf::Ease::cubicOutIn ( float t )

static

Ease-Out-In flavor of cubic easing.

◆ elasticIn()

static float gf::Ease::elasticIn ( float t )

static

Ease-In flavor of elastic easing.

◆ elasticInOut()

static float gf::Ease::elasticInOut ( float t )

static

Ease-In-Out flavor of elastic easing.

◆ elasticOut()

static float gf::Ease::elasticOut ( float t )

static

Ease-Out flavor of elastic easing.

◆ elasticOutIn()

static float gf::Ease::elasticOutIn ( float t )

static

Ease-Out-In flavor of elastic easing.

◆ expoIn()

static float gf::Ease::expoIn ( float t )

static

Ease-In flavor of expo easing.

◆ expoInOut()

static float gf::Ease::expoInOut ( float t )

static

Ease-In-Out flavor of expo easing.

◆ expoOut()

static float gf::Ease::expoOut ( float t )

static

Ease-Out flavor of expo easing.

◆ expoOutIn()

static float gf::Ease::expoOutIn ( float t )

static

Ease-Out-In flavor of expo easing.

◆ linear()

static float gf::Ease::linear ( float t )

static

Linear easing.

This is the default easing function

◆ quadIn()

static float gf::Ease::quadIn ( float t )

static

Ease-In flavor of quad easing.

◆ quadInOut()

static float gf::Ease::quadInOut ( float t )

static

Ease-In-Out flavor of quad easing.

◆ quadOut()

static float gf::Ease::quadOut ( float t )

static

Ease-Out flavor of quad easing.

◆ quadOutIn()

static float gf::Ease::quadOutIn ( float t )

static

Ease-Out-In flavor of quad easing.

◆ quartIn()

static float gf::Ease::quartIn ( float t )

static

Ease-In flavor of quart easing.

◆ quartInOut()

static float gf::Ease::quartInOut ( float t )

static

Ease-In-Out flavor of quart easing.

◆ quartOut()

static float gf::Ease::quartOut ( float t )

static

Ease-Out flavor of quart easing.

◆ quartOutIn()

static float gf::Ease::quartOutIn ( float t )

static

Ease-Out-In flavor of quart easing.

◆ quintIn()

static float gf::Ease::quintIn ( float t )

static

Ease-In flavor of quint easing.

◆ quintInOut()

static float gf::Ease::quintInOut ( float t )

static

Ease-In-Out flavor of quint easing.

◆ quintOut()

static float gf::Ease::quintOut ( float t )

static

Ease-Out flavor of quint easing.

◆ quintOutIn()

static float gf::Ease::quintOutIn ( float t )

static

Ease-Out-In flavor of quint easing.

◆ sineIn()

static float gf::Ease::sineIn ( float t )

static

Ease-In flavor of sine easing.

◆ sineInOut()

static float gf::Ease::sineInOut ( float t )

static

Ease-In-Out flavor of sine easing.

◆ sineOut()

static float gf::Ease::sineOut ( float t )

static

Ease-Out flavor of sine easing.

◆ sineOutIn()

static float gf::Ease::sineOutIn ( float t )

static

Ease-Out-In flavor of sine easing.

◆ smooth()

static float gf::Ease::smooth ( float t )

static

Smooth easing.

See also: Smoothstep - Wikipedia

◆ smoother()

static float gf::Ease::smoother ( float t )

static

Smoother easing.

See also: Smootherstep - Wikipedia

Public Member Functions

Static Public Member Functions

Detailed Description

First set of easing functions

Second set of easing functions

Definitions

Base functions

Plots

Constructor & Destructor Documentation

◆ Ease()

Member Function Documentation

◆ backIn()

◆ backInOut()

◆ backOut()

◆ backOutIn()

◆ bounceIn()

◆ bounceInOut()

◆ bounceOut()

◆ bounceOutIn()

◆ circIn()

◆ circInOut()

◆ circOut()

◆ circOutIn()

◆ cubicIn()

◆ cubicInOut()

◆ cubicOut()

◆ cubicOutIn()

◆ elasticIn()

◆ elasticInOut()

◆ elasticOut()

◆ elasticOutIn()

◆ expoIn()

◆ expoInOut()

◆ expoOut()

◆ expoOutIn()

◆ linear()

◆ quadIn()

◆ quadInOut()

◆ quadOut()

◆ quadOutIn()

◆ quartIn()

◆ quartInOut()

◆ quartOut()

◆ quartOutIn()

◆ quintIn()

◆ quintInOut()

◆ quintOut()

◆ quintOutIn()

◆ sineIn()

◆ sineInOut()

◆ sineOut()

◆ sineOutIn()

◆ smooth()

◆ smoother()