220 lines
6.7 KiB
C++
220 lines
6.7 KiB
C++
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/// @ref gtx_easing
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/// @file glm/gtx/easing.hpp
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/// @author Robert Chisholm
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///
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/// @see core (dependence)
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///
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/// @defgroup gtx_easing GLM_GTX_easing
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/// @ingroup gtx
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///
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/// Include <glm/gtx/easing.hpp> to use the features of this extension.
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///
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/// Easing functions for animations and transitons
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/// All functions take a parameter x in the range [0.0,1.0]
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///
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/// Based on the AHEasing project of Warren Moore (https://github.com/warrenm/AHEasing)
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#pragma once
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// Dependency:
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#include "../glm.hpp"
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#include "../gtc/constants.hpp"
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#include "../detail/qualifier.hpp"
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#ifndef GLM_ENABLE_EXPERIMENTAL
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# error "GLM: GLM_GTX_easing is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it."
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#endif
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#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
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# pragma message("GLM: GLM_GTX_easing extension included")
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#endif
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namespace glm{
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/// @addtogroup gtx_easing
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/// @{
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/// Modelled after the line y = x
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType linearInterpolation(genType const & a);
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/// Modelled after the parabola y = x^2
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quadraticEaseIn(genType const & a);
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/// Modelled after the parabola y = -x^2 + 2x
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quadraticEaseOut(genType const & a);
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/// Modelled after the piecewise quadratic
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/// y = (1/2)((2x)^2) ; [0, 0.5)
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/// y = -(1/2)((2x-1)*(2x-3) - 1) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quadraticEaseInOut(genType const & a);
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/// Modelled after the cubic y = x^3
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template <typename genType>
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GLM_FUNC_DECL genType cubicEaseIn(genType const & a);
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/// Modelled after the cubic y = (x - 1)^3 + 1
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType cubicEaseOut(genType const & a);
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/// Modelled after the piecewise cubic
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/// y = (1/2)((2x)^3) ; [0, 0.5)
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/// y = (1/2)((2x-2)^3 + 2) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType cubicEaseInOut(genType const & a);
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/// Modelled after the quartic x^4
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quarticEaseIn(genType const & a);
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/// Modelled after the quartic y = 1 - (x - 1)^4
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quarticEaseOut(genType const & a);
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/// Modelled after the piecewise quartic
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/// y = (1/2)((2x)^4) ; [0, 0.5)
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/// y = -(1/2)((2x-2)^4 - 2) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quarticEaseInOut(genType const & a);
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/// Modelled after the quintic y = x^5
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quinticEaseIn(genType const & a);
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/// Modelled after the quintic y = (x - 1)^5 + 1
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quinticEaseOut(genType const & a);
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/// Modelled after the piecewise quintic
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/// y = (1/2)((2x)^5) ; [0, 0.5)
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/// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType quinticEaseInOut(genType const & a);
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/// Modelled after quarter-cycle of sine wave
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType sineEaseIn(genType const & a);
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/// Modelled after quarter-cycle of sine wave (different phase)
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType sineEaseOut(genType const & a);
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/// Modelled after half sine wave
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType sineEaseInOut(genType const & a);
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/// Modelled after shifted quadrant IV of unit circle
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType circularEaseIn(genType const & a);
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/// Modelled after shifted quadrant II of unit circle
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType circularEaseOut(genType const & a);
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/// Modelled after the piecewise circular function
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/// y = (1/2)(1 - sqrt(1 - 4x^2)) ; [0, 0.5)
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/// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType circularEaseInOut(genType const & a);
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/// Modelled after the exponential function y = 2^(10(x - 1))
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType exponentialEaseIn(genType const & a);
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/// Modelled after the exponential function y = -2^(-10x) + 1
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType exponentialEaseOut(genType const & a);
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/// Modelled after the piecewise exponential
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/// y = (1/2)2^(10(2x - 1)) ; [0,0.5)
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/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType exponentialEaseInOut(genType const & a);
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/// Modelled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType elasticEaseIn(genType const & a);
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/// Modelled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType elasticEaseOut(genType const & a);
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/// Modelled after the piecewise exponentially-damped sine wave:
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/// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1)) ; [0,0.5)
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/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2) ; [0.5, 1]
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType elasticEaseInOut(genType const & a);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseIn(genType const& a);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseOut(genType const& a);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseInOut(genType const& a);
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/// @param a parameter
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/// @param o Optional overshoot modifier
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseIn(genType const& a, genType const& o);
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/// @param a parameter
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/// @param o Optional overshoot modifier
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseOut(genType const& a, genType const& o);
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/// @param a parameter
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/// @param o Optional overshoot modifier
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType backEaseInOut(genType const& a, genType const& o);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType bounceEaseIn(genType const& a);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType bounceEaseOut(genType const& a);
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/// @see gtx_easing
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template <typename genType>
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GLM_FUNC_DECL genType bounceEaseInOut(genType const& a);
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/// @}
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}//namespace glm
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#include "easing.inl"
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