Added GTX_easing for interpolation functions #761

glm/gtx/easing.hpp

@@ -0,0 +1,201 @@
+/// @ref gtx_easing
+/// @file glm/gtx/easing.hpp
+/// @author Robert Chisholm
+///
+/// @see core (dependence)
+///
+/// @defgroup gtx_easing GLM_GTX_easing
+/// @ingroup gtx
+///
+/// Include <glm/gtx/easing.hpp> to use the features of this extension.
+///
+/// Easing functions for animations and transitons
+/// All functions take a parameter x in the range [0.0,1.0]
+///
+/// Based on the AHEasing project of Warren Moore (https://github.com/warrenm/AHEasing)
+
+#pragma once
+
+#include "../detail/setup.hpp"
+#include "../detail/qualifier.hpp"
+#include "../detail/type_int.hpp"
+
+
+#ifndef GLM_ENABLE_EXPERIMENTAL
+#	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."
+#endif
+
+#if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
+#	pragma message("GLM: GLM_GTX_easing extension included")
+#endif
+
+namespace glm{
+	/// @addtogroup gtx_easing
+	/// @{
+
+	/// Modelled after the line y = x
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType linearInterpolation(genType const & a);
+
+	/// Modelled after the parabola y = x^2
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quadraticEaseIn(genType const & a);
+
+	/// Modelled after the parabola y = -x^2 + 2x
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quadraticEaseOut(genType const & a);
+
+	/// Modelled after the piecewise quadratic
+	/// y = (1/2)((2x)^2)				; [0, 0.5)
+	/// y = -(1/2)((2x-1)*(2x-3) - 1)	; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quadraticEaseInOut(genType const & a);
+
+	/// Modelled after the cubic y = x^3
+	template <typename genType>
+	GLM_FUNC_DECL genType cubicEaseIn(genType const & a);
+
+	/// Modelled after the cubic y = (x - 1)^3 + 1
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType cubicEaseOut(genType const & a);
+
+	/// Modelled after the piecewise cubic
+	/// y = (1/2)((2x)^3)		; [0, 0.5)
+	/// y = (1/2)((2x-2)^3 + 2)	; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType cubicEaseInOut(genType const & a);
+
+	/// Modelled after the quartic x^4
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quarticEaseIn(genType const & a);
+
+	/// Modelled after the quartic y = 1 - (x - 1)^4
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quarticEaseOut(genType const & a);
+
+	/// Modelled after the piecewise quartic
+	/// y = (1/2)((2x)^4)			; [0, 0.5)
+	/// y = -(1/2)((2x-2)^4 - 2)	; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quarticEaseInOut(genType const & a);
+
+	/// Modelled after the quintic y = x^5
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quinticEaseIn(genType const & a);
+
+	/// Modelled after the quintic y = (x - 1)^5 + 1
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quinticEaseOut(genType const & a);
+
+	/// Modelled after the piecewise quintic
+	/// y = (1/2)((2x)^5)		; [0, 0.5)
+	/// y = (1/2)((2x-2)^5 + 2) ; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType quinticEaseInOut(genType const & a);
+
+	/// Modelled after quarter-cycle of sine wave
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType sineEaseIn(genType const & a);
+
+	/// Modelled after quarter-cycle of sine wave (different phase)
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType sineEaseOut(genType const & a);
+
+	/// Modelled after half sine wave
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType sineEaseInOut(genType const & a);
+
+	/// Modelled after shifted quadrant IV of unit circle
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType circularEaseIn(genType const & a);
+
+	/// Modelled after shifted quadrant II of unit circle
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType circularEaseOut(genType const & a);
+
+	/// Modelled after the piecewise circular function
+	/// y = (1/2)(1 - sqrt(1 - 4x^2))			; [0, 0.5)
+	/// y = (1/2)(sqrt(-(2x - 3)*(2x - 1)) + 1) ; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType circularEaseInOut(genType const & a);
+
+	/// Modelled after the exponential function y = 2^(10(x - 1))
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType exponentialEaseIn(genType const & a);
+
+	/// Modelled after the exponential function y = -2^(-10x) + 1
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType exponentialEaseOut(genType const & a);
+
+	/// Modelled after the piecewise exponential
+	/// y = (1/2)2^(10(2x - 1))			; [0,0.5)
+	/// y = -(1/2)*2^(-10(2x - 1))) + 1 ; [0.5,1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType exponentialEaseInOut(genType const & a);
+
+	/// Modelled after the damped sine wave y = sin(13pi/2*x)*pow(2, 10 * (x - 1))
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType elasticEaseIn(genType const & a);
+
+	/// Modelled after the damped sine wave y = sin(-13pi/2*(x + 1))*pow(2, -10x) + 1
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType elasticEaseOut(genType const & a);
+
+	/// Modelled after the piecewise exponentially-damped sine wave:
+	/// y = (1/2)*sin(13pi/2*(2*x))*pow(2, 10 * ((2*x) - 1))		; [0,0.5)
+	/// y = (1/2)*(sin(-13pi/2*((2x-1)+1))*pow(2,-10(2*x-1)) + 2)	; [0.5, 1]
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType elasticEaseInOut(genType const & a);
+
+	/// @param o Optional overshoot modifier
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType backEaseIn(genType const & a, genType const & o = 1.70158f);
+
+	/// @param o Optional overshoot modifier
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType backEaseOut(genType const & a, genType const & o = 1.70158f);
+
+	/// @param o Optional overshoot modifier
+	/// @see gtx_easing
+	template <typename genType>
+	GLM_FUNC_DECL genType backEaseInOut(genType const & a, genType const & o = 1.70158f);
+
+	template <typename genType>
+	GLM_FUNC_DECL genType bounceEaseIn(genType const & a);
+
+	template <typename genType>
+	GLM_FUNC_DECL genType bounceEaseOut(genType const & a);
+
+	template <typename genType>
+	GLM_FUNC_DECL genType bounceEaseInOut(genType const & a, genType);
+
+	/// @}
+}//namespace glm
+
+#include "easing.inl"

glm/gtx/easing.inl

@@ -0,0 +1,416 @@
+/// @ref gtx_easing
+/// @file glm/gtx/easing.inl
+
+#include <cmath>
+
+namespace glm{
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType linearInterpolation(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return a;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quadraticEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return a * a;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quadraticEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return -(a * (a - 2));
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quadraticEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a < 0.5)
+		{
+			return 2 * a * a;
+		}
+		else
+		{
+			return (-2 * a * a) + (4 * a) - one<genType>();
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType cubicEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return a * a * a;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType cubicEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType const f = a - one<genType>();
+		return f * f * f + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType cubicEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if (a < 0.5)
+		{
+			return 4 * a * a * a;
+		}
+		else
+		{
+			genType const f = ((2 * a) - 2);
+			return 0.5f * f * f * f + one<genType>();
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quarticEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return a * a * a * a;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quarticEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType const f = (a - one<genType>());
+		return f * f * f * (one<genType>() - a) + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quarticEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if (a < 0.5)
+		{
+			return 8 * a * a * a * a;
+		}
+		else
+		{
+			genType const f = (a - one<genType>());
+			return -8 * f * f * f * f + one<genType>();
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quinticEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return a * a * a * a * a;
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quinticEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType const f = (a - one<genType>());
+		return f * f * f * f * f + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType quinticEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if (a < 0.5)
+		{
+			return 16 * a * a * a * a * a;
+		}
+		else
+		{
+			genType const f = ((2 * a) - 2);
+			return 0.5f * f * f * f * f * f + one<genType>();
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType sineEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return sin((a - one<genType>()) * half_pi<genType>()) + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType sineEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return sin(a * half_pi<genType>());
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType sineEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return 0.5f * (one<genType>() - cos(a * pi<genType>()));
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType circularEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return one<genType>() - sqrt(one<genType>() - (a * a));
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType circularEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return sqrt((2 - a) * a);
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType circularEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a < static_cast<genType>(0.5))
+		{
+			return static_cast<genType>(0.5) * (one<genType>() - sqrt(one<genType>() - static_cast<genType>(4) * (a * a)));
+		}
+		else
+		{
+			return static_cast<genType>(0.5) * (sqrt(-((static_cast<genType>(2) * a) - static_cast<genType>(3)) * ((static_cast<genType>(2) * a) - one<genType>())) + one<genType>());
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType exponentialEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return (a == zero<genType>()) ? a : pow<genType>(static_cast<genType>(2), static_cast<genType>(10) * (a - one<genType>()));
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType exponentialEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return (a == one<genType>()) ? a : one<genType>() - pow<genType>(static_cast<genType>(2), -static_cast<genType>(10) * a);
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType exponentialEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a == zero<genType>() || a == one<genType>()) return a;
+		
+		if(a < static_cast<genType>(0.5))
+		{
+			return static_cast<genType>(0.5) * pow<genType>(2, (20 * a) - 10);
+		}
+		else
+		{
+			return -static_cast<genType>(0.5) * pow<genType>(2, (-20 * a) + 10) + one<genType>();
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType elasticEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return sin(13 * half_pi<genType>() * a) * pow<genType>(static_cast<genType>(2), 10 * (a - one<genType>()));
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType elasticEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return sin(-13 * half_pi<genType>() * (a + one<genType>())) * pow<genType>(static_cast<genType>(2), -10 * a) + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType elasticEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a < static_cast<genType>(0.5))
+		{
+			return static_cast<genType>(0.5) * sin(static_cast<genType>(13) * half_pi<genType>() * (static_cast<genType>(2) * a)) * pow<genType>(static_cast<genType>(2), static_cast<genType>(10) * ((static_cast<genType>(2) * a) - one<genType>()));
+		}
+		else
+		{
+			return static_cast<genType>(0.5) * (sin(-static_cast<genType>(13) * half_pi<genType>() * ((static_cast<genType>(2) * a - one<genType>()) + one<genType>())) * pow<genType>(static_cast<genType>(2), -static_cast<genType>(10) * (static_cast<genType>(2) * a - one<genType>())) + static_cast<genType>(2));
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType backEaseIn(genType const& a, genType const& o)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType z = ((o + one<genType>()) * a) - o;
+		return (a * a * z);
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType backEaseOut(genType const& a, genType const& o)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType n = a - one<genType>();
+		genType z = ((o + one<genType>()) * n) + o;
+		return (n * n * z) + one<genType>();
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType backEaseInOut(genType const& a, genType const& o)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		genType s = o * static_cast<genType>(1.525);
+		genType x = static_cast<genType>(0.5);
+		genType n = a / static_cast<genType>(0.5);
+
+		if (n < static_cast<genType>(1))
+		{
+			genType z = ((s + static_cast<genType>(1)) * n) - s;
+			genType m = n * n * z;
+			return x * m;
+		}
+		else 
+		{
+			n -= static_cast<genType>(2);
+			genType z = ((s + static_cast<genType>(1)) * n) + s;
+			genType m = (n*n*z) + static_cast<genType>(2);
+			return x * m;
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType bounceEaseOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a < static_cast<genType>(4.0 / 11.0))
+		{
+			return (static_cast<genType>(121) * a * a) / static_cast<genType>(16);
+		}
+		else if(a < static_cast<genType>(8.0 / 11.0))
+		{
+			return (static_cast<genType>(363.0 / 40.0) * a * a) - (static_cast<genType>(99.0 / 10.0) * a) + static_cast<genType>(17.0 / 5.0);
+		}
+		else if(a < static_cast<genType>(9.0 / 10.0))
+		{
+			return (static_cast<genType>(4356.0 / 361.0) * a * a) - (static_cast<genType>(35442.0 / 1805.0) * a) + static_cast<genType>(16061.0 / 1805.0);
+		}
+		else
+		{
+			return (static_cast<genType>(54.0 / 5.0) * a * a) - (static_cast<genType>(513.0 / 25.0) * a) + static_cast<genType>(268.0 / 25.0);
+		}
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType bounceEaseIn(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		return one<genType>() - bounceEaseOut(one<genType>() - a);
+	}
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType bounceEaseInOut(genType const& a)
+	{
+		// Only defined in [0, 1]
+		assert(a >= zero<genType>());
+		assert(a <= one<genType>());
+
+		if(a < static_cast<genType>(0.5))
+		{
+			return static_cast<genType>(0.5) * (one<genType>() - bounceEaseOut(a * static_cast<genType>(2)));
+		}
+		else
+		{
+			return static_cast<genType>(0.5) * bounceEaseOut(a * static_cast<genType>(2) - one<genType>()) + static_cast<genType>(0.5);
+		}
+	}
+
+}//namespace glm

readme.md

@@ -69,6 +69,7 @@ glm::mat4 camera(float Translate, glm::vec2 const& Rotate)
 - Added GTX_texture: levels function
 - Added spearate functions to use both nagative one and zero near clip plans #680
 - Added GLM_FORCE_SINGLE_ONLY to use GLM on platforms that don't support double #627
+- Added GTX_easing for interpolation functions #761
 
 #### Improvements:
 - No more default initialization of vector, matrix and quaternion types

test/gtx/CMakeLists.txt

@@ -7,6 +7,7 @@ glmCreateTestGTC(gtx_color_space)
 glmCreateTestGTC(gtx_common)
 glmCreateTestGTC(gtx_compatibility)
 glmCreateTestGTC(gtx_component_wise)
+glmCreateTestGTC(gtx_easing)
 glmCreateTestGTC(gtx_euler_angle)
 glmCreateTestGTC(gtx_extend)
 glmCreateTestGTC(gtx_extended_min_max)

test/gtx/gtx_easing.cpp

@@ -0,0 +1,65 @@
+#define GLM_ENABLE_EXPERIMENTAL
+#include <glm/glm.hpp>
+#include <glm/gtx/quaternion.hpp>
+#include <glm/gtx/easing.hpp>
+
+namespace
+{
+
+	template<typename T>
+	void _test_easing()
+	{
+		T a = static_cast<float>(0.5);
+		T r;
+
+		r = glm::linearInterpolation(a);
+		//
+		r = glm::quadraticEaseIn(a);
+		r = glm::quadraticEaseOut(a);
+		r = glm::quadraticEaseInOut(a);
+		//
+		r = glm::cubicEaseIn(a);
+		r = glm::cubicEaseOut(a);
+		r = glm::cubicEaseInOut(a);
+		//
+		r = glm::quarticEaseIn(a);
+		r = glm::quarticEaseOut(a);
+		r = glm::quinticEaseInOut(a);
+		//
+		r = glm::sineEaseIn(a);
+		r = glm::sineEaseOut(a);
+		r = glm::sineEaseInOut(a);
+		//
+		r = glm::circularEaseIn(a);
+		r = glm::circularEaseOut(a);
+		r = glm::circularEaseInOut(a);
+		//
+		r = glm::exponentialEaseIn(a);;
+		r = glm::exponentialEaseOut(a);
+		r = glm::exponentialEaseInOut(a);
+		//
+		r = glm::elasticEaseIn(a);
+		r = glm::elasticEaseOut(a);
+		r = glm::elasticEaseInOut(a);
+		//
+		r = glm::backEaseIn(a);
+		r = glm::backEaseOut(a);
+		r = glm::backEaseInOut(a);
+		//
+		r = glm::bounceEaseIn(a);;
+		r = glm::bounceEaseOut(a);
+		r = glm::bounceEaseInOut(a);
+	}
+
+}
+
+int main()
+{
+	int Error = 0;
+
+	_test_easing<float>();
+	_test_easing<double>();
+
+	return Error;
+}
+