#include <CUEasingFunction.h>

Static Public Member Functions
static std::function< float(float)>	alloc ()

static std::function< float(float)>	alloc (Type type, float period=ELASTIC_PERIOD)

static float	linear (float time)

static float	sineIn (float time)

static float	sineOut (float time)

static float	sineInOut (float time)

static float	quadIn (float time)

static float	quadOut (float time)

static float	quadInOut (float time)

static float	cubicIn (float time)

static float	cubicOut (float time)

static float	cubicInOut (float time)

static float	quartIn (float time)

static float	quartOut (float time)

static float	quartInOut (float time)

static float	quintIn (float time)

static float	quintOut (float time)

static float	quintInOut (float time)

static float	expoIn (float time)

static float	expoOut (float time)

static float	expoInOut (float time)

static float	circIn (float time)

static float	circOut (float time)

static float	circInOut (float time)

static float	backIn (float time)

static float	backOut (float time)

static float	backInOut (float time)

static float	bounceIn (float time)

static float	bounceOut (float time)

static float	bounceInOut (float time)

static float	elasticIn (float time, float period)

static float	elasticOut (float time, float period)

static float	elasticInOut (float time, float period)

Detailed Description

This class is a factory for returning easing functions.

An easing function is an interpolation function that (usually) maps [0,1] to [0,1] with f(0) = 0 and f(1) = 1. It is used to control the speed of a tweening operation. If f(t) = t, the result is standard linear interpolation, providing a smooth animation. Nonlinear curves allow the tweening to adjust its speed over time. An easing function can map outside of the range so long as the end points are still fixed. This allows for overshoot and correction in the tweening.

The supported easing functions are all implemented as static methods. The alloc() method is used to return a function value that can can be used by other functions for tweening support.

Member Enumeration Documentation

◆ Type

enum cugl::EasingFunction::Type : int

strong

This enum lists the easing functions supported by this factory.

Enumerator
LINEAR	A linear easing function (the default)
SINE_IN	A 1-cosine function with an asymptotic start at t=0
SINE_OUT	A sine function with an asymptotic finish at t=1
SINE_IN_OUT	A concatenation of the SINE_IN and SINE_OUT functions
QUAD_IN	A quadratic polynomial with an asymptotic start at t=0
QUAD_OUT	A quadratic polynomial with an asymptotic finish at t=1
QUAD_IN_OUT	A concatenation of the QUAD_IN and QUAD_OUT functions
CUBIC_IN	A cubic polynomial with an asymptotic start at t=0
CUBIC_OUT	A cubic polynomial with an asymptotic finish at t=1
CUBIC_IN_OUT	A concatenation of the CUBIC_IN and CUBIC_OUT functions
QUART_IN	A fourth-degree polynomial with an asymptotic start at t=0
QUART_OUT	A fourth-degree polynomial with an asymptotic finish at t=1
QUART_IN_OUT	A concatenation of the QUART_IN and QUART_OUT functions
QUINT_IN	A fifth-degree polynomial with an asymptotic start at t=0
QUINT_OUT	A fifth-degree polynomial with an asymptotic finish at t=1
QUINT_IN_OUT	A concatenation of the QUINT_IN and QUINT_OUT functions
EXPO_IN	An exponential function with an asymptotic start at t=0
EXPO_OUT	An exponential function with an asymptotic finish at t=1
EXPO_IN_OUT	A concatenation of the EXPO_IN and EXPO_OUT functions
CIRC_IN	A quarter circle with an asymptotic start at t=0
CIRC_OUT	A quarter circle with an asymptotic finish at t=1
CIRC_IN_OUT	A concatenation of the CIRC_IN and CIRC_OUT functions
BACK_IN	An easing function that briefly dips below t=0 after the start
BACK_OUT	An easing function that briefly rises above t=1 before the finish
BACK_IN_OUT	A concatenation of the BACK_IN and BACK_OUT functions
BOUNCE_IN	An easing function that bounces down to t=0 several times after the start.
BOUNCE_OUT	An easing function that bounces up to t=1 several times before this finish.
BOUNCE_IN_OUT	A concatenation of the BOUNCE_IN and BOUNCE_OUT functions
ELASTIC_IN	An easing function that bounces back-and-forth across t=0 several times after the start.
ELASTIC_OUT	An easing function that bounces back-and-forth across t=1 several times before the finish.
ELASTIC_IN_OUT	A concatenation of the ELASTIC_IN and ELASTIC_OUT functions

Member Function Documentation

◆ alloc() [1/2]

static std::function<float(float)> cugl::EasingFunction::alloc ( )

inlinestatic

Returns a linear easing function

Returns: A linear easing function

◆ alloc() [2/2]

static std::function<float(float)> cugl::EasingFunction::alloc	(	Type	type,
		float	period = `ELASTIC_PERIOD`
	)

static

Returns an easing function of the given type.

The optional value period only applies to elastic easing functions, as their bounce factor is adjustable.

Parameters

type	The easing function type
period	The period of an elastic easing function

Returns: An easing function of the given type.

◆ backIn()

static float cugl::EasingFunction::backIn ( float time )

static

Returns an adjustment of the tweening time

This is an easing function that briefly dips below t=0 after the start.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ backInOut()

static float cugl::EasingFunction::backInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the backIn(float) and backOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ backOut()

static float cugl::EasingFunction::backOut ( float time )

static

Returns an adjustment of the tweening time

This is an easing function that briefly rises above t=1 before the finish.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ bounceIn()

static float cugl::EasingFunction::bounceIn ( float time )

static

Returns an adjustment of the tweening time

This is an easing function that bounces down to t=0 several times after the start.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ bounceInOut()

static float cugl::EasingFunction::bounceInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the bounceIn(float) and bounceOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ bounceOut()

static float cugl::EasingFunction::bounceOut ( float time )

static

Returns an adjustment of the tweening time

This is an easing function that bounces up to t=1 several times before the finish.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ circIn()

static float cugl::EasingFunction::circIn ( float time )

static

Returns an adjustment of the tweening time

This is a quarter circle with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ circInOut()

static float cugl::EasingFunction::circInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the circIn(float) and circOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ circOut()

static float cugl::EasingFunction::circOut ( float time )

static

Returns an adjustment of the tweening time

This is a quarter circle with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ cubicIn()

static float cugl::EasingFunction::cubicIn ( float time )

static

Returns an adjustment of the tweening time

This is a cubic polynomial with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ cubicInOut()

static float cugl::EasingFunction::cubicInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the cubicIn(float) and cubicOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ cubicOut()

static float cugl::EasingFunction::cubicOut ( float time )

static

Returns an adjustment of the tweening time

This is a cubic polynomial with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ elasticIn()

static float cugl::EasingFunction::elasticIn	(	float	time,
		float	period
	)

static

Returns an adjustment of the tweening time

This is an easing function that bounces back-and-forth across t=0 several times after the start.

Parameters

time	The time in seconds.
period	The period in seconds.

Returns: An adjustment of the tweening time

◆ elasticInOut()

static float cugl::EasingFunction::elasticInOut	(	float	time,
		float	period
	)

static

Returns an adjustment of the tweening time

This is a concatenation of the elasticIn(float,float) and elasticOut(float,float) easing functions.

Parameters

time	The time in seconds.
period	The period in seconds.

Returns: An adjustment of the tweening time

◆ elasticOut()

static float cugl::EasingFunction::elasticOut	(	float	time,
		float	period
	)

static

Returns an adjustment of the tweening time

This is an easing function that bounces back-and-forth across t=1 several times before the finish.

Parameters

time	The time in seconds.
period	The period in seconds.

Returns: An adjustment of the tweening time

◆ expoIn()

static float cugl::EasingFunction::expoIn ( float time )

static

Returns an adjustment of the tweening time

This is an exponential function with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ expoInOut()

static float cugl::EasingFunction::expoInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the expoIn(float) and expoOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ expoOut()

static float cugl::EasingFunction::expoOut ( float time )

static

Returns an adjustment of the tweening time

This is an exponential function with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ linear()

static float cugl::EasingFunction::linear ( float time )

static

Returns an adjustment of the tweening time

This is a linear easing function (the default)

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quadIn()

static float cugl::EasingFunction::quadIn ( float time )

static

Returns an adjustment of the tweening time

This is a quadratic polynomial with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quadInOut()

static float cugl::EasingFunction::quadInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the quadIn(float) and quadOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quadOut()

static float cugl::EasingFunction::quadOut ( float time )

static

Returns an adjustment of the tweening time

This is a quadratic polynomial with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quartIn()

static float cugl::EasingFunction::quartIn ( float time )

static

Returns an adjustment of the tweening time

This is a fourth-degree polynomial with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quartInOut()

static float cugl::EasingFunction::quartInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the quartIn(float) and quartOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quartOut()

static float cugl::EasingFunction::quartOut ( float time )

static

Returns an adjustment of the tweening time

This is a fourth-degree polynomial with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quintIn()

static float cugl::EasingFunction::quintIn ( float time )

static

Returns an adjustment of the tweening time

This is a fifth-degree polynomial with an asymptotic start at t=0.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quintInOut()

static float cugl::EasingFunction::quintInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the quintIn(float) and quintOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ quintOut()

static float cugl::EasingFunction::quintOut ( float time )

static

Returns an adjustment of the tweening time

This is a fifth-degree polynomial with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ sineIn()

static float cugl::EasingFunction::sineIn ( float time )

static

Returns an adjustment of the tweening time

This is a linear easing function (the default)

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ sineInOut()

static float cugl::EasingFunction::sineInOut ( float time )

static

Returns an adjustment of the tweening time

This is a concatenation of the sineIn(float) and sineOut(float) easing functions.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

◆ sineOut()

static float cugl::EasingFunction::sineOut ( float time )

static

Returns an adjustment of the tweening time

This is a sine function with an asymptotic finish at t=1.

Parameters

time	The time in seconds.

Returns: An adjustment of the tweening time

The documentation for this class was generated from the following file:

include/cugl/math/CUEasingFunction.h

Public Types
enum	Type : int { Type::LINEAR, Type::SINE_IN, Type::SINE_OUT, Type::SINE_IN_OUT, Type::QUAD_IN, Type::QUAD_OUT, Type::QUAD_IN_OUT, Type::CUBIC_IN, Type::CUBIC_OUT, Type::CUBIC_IN_OUT, Type::QUART_IN, Type::QUART_OUT, Type::QUART_IN_OUT, Type::QUINT_IN, Type::QUINT_OUT, Type::QUINT_IN_OUT, Type::EXPO_IN, Type::EXPO_OUT, Type::EXPO_IN_OUT, Type::CIRC_IN, Type::CIRC_OUT, Type::CIRC_IN_OUT, Type::BACK_IN, Type::BACK_OUT, Type::BACK_IN_OUT, Type::BOUNCE_IN, Type::BOUNCE_OUT, Type::BOUNCE_IN_OUT, Type::ELASTIC_IN, Type::ELASTIC_OUT, Type::ELASTIC_IN_OUT }

Public Types

Static Public Member Functions

Detailed Description

Member Enumeration Documentation

◆ Type

Member Function Documentation

◆ alloc() [1/2]

◆ alloc() [2/2]

◆ backIn()

◆ backInOut()

◆ backOut()

◆ bounceIn()

◆ bounceInOut()

◆ bounceOut()

◆ circIn()

◆ circInOut()

◆ circOut()

◆ cubicIn()

◆ cubicInOut()

◆ cubicOut()

◆ elasticIn()

◆ elasticInOut()

◆ elasticOut()

◆ expoIn()

◆ expoInOut()

◆ expoOut()

◆ linear()

◆ quadIn()

◆ quadInOut()

◆ quadOut()

◆ quartIn()

◆ quartInOut()

◆ quartOut()

◆ quintIn()

◆ quintInOut()

◆ quintOut()

◆ sineIn()

◆ sineInOut()

◆ sineOut()