.. index:: pair: namespace; EE::Math::easing
.. _doxid-namespace_e_e_1_1_math_1_1easing:

namespace EE::Math::easing
==========================

.. toctree::
	:hidden:

Overview
~~~~~~~~




.. ref-code-block:: cpp
	:class: doxyrest-overview-code-block

	
	namespace easing {

	// typedefs

	typedef double (*:target:`easingCbFunc<doxid-namespace_e_e_1_1_math_1_1easing_1a525e21ac03c9cff6efc73920f9c4b2a9>`)(
		double,
		double,
		double,
		double
		);

	// global variables

	:ref:`EE_API<doxid-config_8hpp_1a705e4ce005f895b4953ab2b8f440e171>` :ref:`easingCbFunc<doxid-namespace_e_e_1_1_math_1_1easing_1a525e21ac03c9cff6efc73920f9c4b2a9>` :target:`easingCb<doxid-namespace_e_e_1_1_math_1_1easing_1a74b54456f994183b0c3f6d24a608d430>`[];

	// global functions

	double :ref:`noneInterpolation<doxid-namespace_e_e_1_1_math_1_1easing_1aa47e7bcf4390ecec71946ada9775ef97>`(double t, double b, double c, double d);
	double :ref:`EE_API<doxid-config_8hpp_1a705e4ce005f895b4953ab2b8f440e171>` :target:`cubicBezierInterpolation<doxid-namespace_e_e_1_1_math_1_1easing_1acbb2b2e1b73d2fd9f4ac396499712d43>`(double x1, double y1, double x2, double y2, double t);
	double :target:`cubicBezierNoParams<doxid-namespace_e_e_1_1_math_1_1easing_1aa3b787869d60a90983e6f79917d6e226>`(double t, double, double, double);
	double :ref:`linearInterpolation<doxid-namespace_e_e_1_1_math_1_1easing_1a3ffa44e2c4c44904fecac16105ce2a97>`(double t, double b, double c, double d);
	double :ref:`quadraticIn<doxid-namespace_e_e_1_1_math_1_1easing_1a819146c84d55938933d34e2305517d07>`(double t, double b, double c, double d);
	double :ref:`quadraticOut<doxid-namespace_e_e_1_1_math_1_1easing_1a60e874052c053e817c24dec93ce9be15>`(double t, double b, double c, double d);
	double :ref:`quadraticInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a56bf31264903c7c6f04db0b22d41d9ba>`(double t, double b, double c, double d);
	double :ref:`sineIn<doxid-namespace_e_e_1_1_math_1_1easing_1a85d1f7d8338abb8f253ee585be8feffd>`(double t, double b, double c, double d);
	double :ref:`sineOut<doxid-namespace_e_e_1_1_math_1_1easing_1ac0ec40d356580e6dc1e0193b1b0a0953>`(double t, double b, double c, double d);
	double :ref:`sineInOut<doxid-namespace_e_e_1_1_math_1_1easing_1ac10b4e0c92cb27eb95d8458862682cb2>`(double t, double b, double c, double d);
	double :ref:`exponentialIn<doxid-namespace_e_e_1_1_math_1_1easing_1a172469a9337cf1133e727d6bd8b39acd>`(double t, double b, double c, double d);
	double :ref:`exponentialOut<doxid-namespace_e_e_1_1_math_1_1easing_1a209ba836207b7632b72d01eec71bbcc4>`(double t, double b, double c, double d);
	double :ref:`exponentialInOut<doxid-namespace_e_e_1_1_math_1_1easing_1aa22f9c174ace672a05e7a4ff65d61615>`(double t, double b, double c, double d);
	double :target:`quarticIn<doxid-namespace_e_e_1_1_math_1_1easing_1a6ad47a8050225d2d9dccde421e558eee>`(double t, double b, double c, double d);
	double :target:`quarticOut<doxid-namespace_e_e_1_1_math_1_1easing_1a343c23f751b51ae03d041d2354a09cde>`(double t, double b, double c, double d);
	double :target:`quarticInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a62447fc5a695be1281f4fd91fcbbf476>`(double t, double b, double c, double d);
	double :target:`quinticIn<doxid-namespace_e_e_1_1_math_1_1easing_1a1257d1529d14835d23a37424975d837b>`(double t, double b, double c, double d);
	double :target:`quinticOut<doxid-namespace_e_e_1_1_math_1_1easing_1a2fbb13189fcbbbc7a4aa060213ccbdbb>`(double t, double b, double c, double d);
	double :target:`quinticInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a3d90ed60606bddbe2c0f010eb77976e0>`(double t, double b, double c, double d);
	double :target:`circularIn<doxid-namespace_e_e_1_1_math_1_1easing_1a78cb5a195c53c6b058a5f991fd944b3a>`(double t, double b, double c, double d);
	double :target:`circularOut<doxid-namespace_e_e_1_1_math_1_1easing_1a2ee4c097ef7eb6adf78e2d0d73c26ae0>`(double t, double b, double c, double d);
	double :target:`circularInOut<doxid-namespace_e_e_1_1_math_1_1easing_1aa189a6919dedec74af3198c1c563f170>`(double t, double b, double c, double d);
	double :target:`cubicIn<doxid-namespace_e_e_1_1_math_1_1easing_1a43daf9be7a73637cfaa77615451e521e>`(double t, double b, double c, double d);
	double :target:`cubicOut<doxid-namespace_e_e_1_1_math_1_1easing_1a2fa00cd844e127a2afeeeadf65a1882b>`(double t, double b, double c, double d);
	double :target:`cubicInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a9b460373b3faf8df5936f6733dbc16a9>`(double t, double b, double c, double d);
	double :target:`backIn<doxid-namespace_e_e_1_1_math_1_1easing_1a400807d3a0ef571085bfd0d18a0dccf1>`(double t, double b, double c, double d);
	double :target:`backOut<doxid-namespace_e_e_1_1_math_1_1easing_1a95463963dd271f549cdb20b1f097d06c>`(double t, double b, double c, double d);
	double :target:`backInOut<doxid-namespace_e_e_1_1_math_1_1easing_1ae04dcaf97444b17244922175f129d265>`(double t, double b, double c, double d);
	double :target:`bounceOut<doxid-namespace_e_e_1_1_math_1_1easing_1a56623d3fe2718421f5c558ba0cee41a5>`(double t, double b, double c, double d);
	double :target:`bounceIn<doxid-namespace_e_e_1_1_math_1_1easing_1a1677c007532427282a19076b996b1cb0>`(double t, double b, double c, double d);
	double :target:`bounceInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a3a572492d8fcb15102c1f0bddb4dff56>`(double t, double b, double c, double d);
	double :target:`elasticIn<doxid-namespace_e_e_1_1_math_1_1easing_1adf909340e74f257f7a5fa06876d67a52>`(double t, double b, double c, double d);
	double :target:`elasticOut<doxid-namespace_e_e_1_1_math_1_1easing_1ae06b8166388fdd2bdb66ee368ececf7c>`(double t, double b, double c, double d);
	double :target:`elasticInOut<doxid-namespace_e_e_1_1_math_1_1easing_1a9288f6d39c0284b19870c861745ae479>`(double t, double b, double c, double d);

	} // namespace easing
.. _details-namespace_e_e_1_1_math_1_1easing:

Detailed Documentation
~~~~~~~~~~~~~~~~~~~~~~



Global Functions
----------------

.. index:: pair: function; noneInterpolation
.. _doxid-namespace_e_e_1_1_math_1_1easing_1aa47e7bcf4390ecec71946ada9775ef97:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double noneInterpolation(double t, double b, double c, double d)

Keeps the initial value until the current time equals the duration.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; linearInterpolation
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a3ffa44e2c4c44904fecac16105ce2a97:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double linearInterpolation(double t, double b, double c, double d)

Calculate the position of a point from a linear interpolation.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; quadraticIn
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a819146c84d55938933d34e2305517d07:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double quadraticIn(double t, double b, double c, double d)

The ``:ref:`quadraticIn() <doxid-namespace_e_e_1_1_math_1_1easing_1a819146c84d55938933d34e2305517d07>``` method starts motion from a zero velocity and then accelerates motion as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; quadraticOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a60e874052c053e817c24dec93ce9be15:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double quadraticOut(double t, double b, double c, double d)

The ``:ref:`quadraticOut() <doxid-namespace_e_e_1_1_math_1_1easing_1a60e874052c053e817c24dec93ce9be15>``` method starts motion fast and then decelerates motion to a zero velocity as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; quadraticInOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a56bf31264903c7c6f04db0b22d41d9ba:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double quadraticInOut(double t, double b, double c, double d)

The ``:ref:`quadraticInOut() <doxid-namespace_e_e_1_1_math_1_1easing_1a56bf31264903c7c6f04db0b22d41d9ba>``` method combines the motion of the ``:ref:`quadraticIn() <doxid-namespace_e_e_1_1_math_1_1easing_1a819146c84d55938933d34e2305517d07>``` and ``QuadraticOut()`` methods to start the motion from a zero velocity, accelerate motion, then decelerate to a zero velocity.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; sineIn
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a85d1f7d8338abb8f253ee585be8feffd:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double sineIn(double t, double b, double c, double d)

The ``:ref:`sineIn() <doxid-namespace_e_e_1_1_math_1_1easing_1a85d1f7d8338abb8f253ee585be8feffd>``` method starts motion from zero velocity and then accelerates motion as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; sineOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1ac0ec40d356580e6dc1e0193b1b0a0953:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double sineOut(double t, double b, double c, double d)

The ``easeOut()`` method starts motion fast and then decelerates motion to a zero velocity as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; sineInOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1ac10b4e0c92cb27eb95d8458862682cb2:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double sineInOut(double t, double b, double c, double d)

The ``easeInOut()`` method combines the motion of the ``easeIn()`` and ``easeOut()`` methods to start the motion from a zero velocity, accelerate motion, then decelerate to a zero velocity.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; exponentialIn
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a172469a9337cf1133e727d6bd8b39acd:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double exponentialIn(double t, double b, double c, double d)

The ``:ref:`exponentialIn() <doxid-namespace_e_e_1_1_math_1_1easing_1a172469a9337cf1133e727d6bd8b39acd>``` method starts motion slowly and then accelerates motion as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial position of a component.

	*
		- c

		- Specifies the total change in position of the component.

	*
		- d

		- Specifies the duration of the effect, in milliseconds.



.. rubric:: Returns:

Number corresponding to the position of the component.

.. index:: pair: function; exponentialOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1a209ba836207b7632b72d01eec71bbcc4:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double exponentialOut(double t, double b, double c, double d)

The ``:ref:`exponentialOut() <doxid-namespace_e_e_1_1_math_1_1easing_1a209ba836207b7632b72d01eec71bbcc4>``` method starts motion fast and then decelerates motion to a zero velocity as it executes.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.

.. index:: pair: function; exponentialInOut
.. _doxid-namespace_e_e_1_1_math_1_1easing_1aa22f9c174ace672a05e7a4ff65d61615:

.. ref-code-block:: cpp
	:class: doxyrest-title-code-block

	double exponentialInOut(double t, double b, double c, double d)

The ``:ref:`exponentialInOut() <doxid-namespace_e_e_1_1_math_1_1easing_1aa22f9c174ace672a05e7a4ff65d61615>``` method combines the motion of the ``:ref:`exponentialIn() <doxid-namespace_e_e_1_1_math_1_1easing_1a172469a9337cf1133e727d6bd8b39acd>``` and ``ExponentialOut()`` methods to start the motion from a zero velocity, accelerate motion, then decelerate to a zero velocity.



.. rubric:: Parameters:

.. list-table::
	:widths: 20 80

	*
		- t

		- Specifies the current time, between 0 and duration inclusive.

	*
		- b

		- Specifies the initial value of the animation property.

	*
		- c

		- Specifies the total change in the animation property.

	*
		- d

		- Specifies the duration of the motion.



.. rubric:: Returns:

The value of the interpolated property at the specified time.