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+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2013 G-Truc Creation (www.g-truc.net)
+/// Permission is hereby granted, free of charge, to any person obtaining a copy
+/// of this software and associated documentation files (the "Software"), to deal
+/// in the Software without restriction, including without limitation the rights
+/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+/// copies of the Software, and to permit persons to whom the Software is
+/// furnished to do so, subject to the following conditions:
+/// 
+/// The above copyright notice and this permission notice shall be included in
+/// all copies or substantial portions of the Software.
+/// 
+/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+/// THE SOFTWARE.
+///
+/// @ref gtc_epsilon
+/// @file glm/gtc/epsilon.inl
+/// @date 2012-04-07 / 2012-04-07
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	GLM_FUNC_QUALIFIER bool epsilonEqual
+	(
+		glm::half const & x, 
+		glm::half const & y, 
+		glm::half const & epsilon
+	)
+	{
+		return abs(x - y) < epsilon;
+	}
+
+	GLM_FUNC_QUALIFIER bool epsilonEqual
+	(
+		float const & x, 
+		float const & y, 
+		float const & epsilon
+	)
+	{
+		return abs(x - y) < epsilon;
+	}
+
+	GLM_FUNC_QUALIFIER bool epsilonEqual
+	(
+		double const & x, 
+		double const & y, 
+		double const & epsilon
+	)
+	{
+		return abs(x - y) < epsilon;
+	}
+
+	GLM_FUNC_QUALIFIER bool epsilonNotEqual
+	(
+		glm::half const & x, 
+		glm::half const & y, 
+		glm::half const & epsilon
+	)
+	{
+		return abs(x - y) >= epsilon;
+	}
+
+	GLM_FUNC_QUALIFIER bool epsilonNotEqual
+	(
+		float const & x, 
+		float const & y, 
+		float const & epsilon
+	)
+	{
+		return abs(x - y) >= epsilon;
+	}
+
+	GLM_FUNC_QUALIFIER bool epsilonNotEqual
+	(
+		double const & x, 
+		double const & y, 
+		double const & epsilon
+	)
+	{
+		return abs(x - y) >= epsilon;
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec2<bool> epsilonEqual
+	(
+		detail::tvec2<valType> const & x, 
+		detail::tvec2<valType> const & y, 
+		valType const & epsilon)
+	{
+		return detail::tvec2<bool>(
+			abs(x.x - y.x) < epsilon,
+			abs(x.y - y.y) < epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec2<bool> epsilonEqual
+	(
+		detail::tvec2<valType> const & x, 
+		detail::tvec2<valType> const & y, 
+		detail::tvec2<valType> const & epsilon
+	)
+	{
+		return detail::tvec2<bool>(
+			abs(x.x - y.x) < epsilon.x,
+			abs(x.y - y.y) < epsilon.y);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec3<bool> epsilonEqual
+	(
+		detail::tvec3<valType> const & x, 
+		detail::tvec3<valType> const & y, 
+		valType const & epsilon)
+	{
+		return detail::tvec3<bool>(
+			abs(x.x - y.x) < epsilon,
+			abs(x.y - y.y) < epsilon,
+			abs(x.z - y.z) < epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec3<bool> epsilonEqual
+	(
+		detail::tvec3<valType> const & x, 
+		detail::tvec3<valType> const & y, 
+		detail::tvec3<valType> const & epsilon
+	)
+	{
+		return detail::tvec3<bool>(
+			abs(x.x - y.x) < epsilon.x,
+			abs(x.y - y.y) < epsilon.y,
+			abs(x.z - y.z) < epsilon.z);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonEqual
+	(
+		detail::tvec4<valType> const & x, 
+		detail::tvec4<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) < epsilon,
+			abs(x.y - y.y) < epsilon,
+			abs(x.z - y.z) < epsilon,
+			abs(x.w - y.w) < epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonEqual
+	(
+		detail::tvec4<valType> const & x, 
+		detail::tvec4<valType> const & y, 
+		detail::tvec4<valType> const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) < epsilon.x,
+			abs(x.y - y.y) < epsilon.y,
+			abs(x.z - y.z) < epsilon.z,
+			abs(x.w - y.w) < epsilon.w);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec2<bool> epsilonNotEqual
+	(
+		detail::tvec2<valType> const & x, 
+		detail::tvec2<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec2<bool>(
+			abs(x.x - y.x) >= epsilon,
+			abs(x.y - y.y) >= epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec2<bool> epsilonNotEqual
+	(
+		detail::tvec2<valType> const & x, 
+		detail::tvec2<valType> const & y, 
+		detail::tvec2<valType> const & epsilon
+	)
+	{
+		return detail::tvec2<bool>(
+			abs(x.x - y.x) >= epsilon.x,
+			abs(x.y - y.y) >= epsilon.y);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec3<bool> epsilonNotEqual
+	(
+		detail::tvec3<valType> const & x, 
+		detail::tvec3<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec3<bool>(
+			abs(x.x - y.x) >= epsilon,
+			abs(x.y - y.y) >= epsilon,
+			abs(x.z - y.z) >= epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec3<bool> epsilonNotEqual
+	(
+		detail::tvec3<valType> const & x, 
+		detail::tvec3<valType> const & y, 
+		detail::tvec3<valType> const & epsilon
+	)
+	{
+		return detail::tvec3<bool>(
+			abs(x.x - y.x) >= epsilon.x,
+			abs(x.y - y.y) >= epsilon.y,
+			abs(x.z - y.z) >= epsilon.z);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonNotEqual
+	(
+		detail::tvec4<valType> const & x, 
+		detail::tvec4<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) >= epsilon,
+			abs(x.y - y.y) >= epsilon,
+			abs(x.z - y.z) >= epsilon,
+			abs(x.w - y.w) >= epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonNotEqual
+	(
+		detail::tvec4<valType> const & x, 
+		detail::tvec4<valType> const & y, 
+		detail::tvec4<valType> const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) >= epsilon.x,
+			abs(x.y - y.y) >= epsilon.y,
+			abs(x.z - y.z) >= epsilon.z,
+			abs(x.w - y.w) >= epsilon.w);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonEqual
+	(
+		detail::tquat<valType> const & x, 
+		detail::tquat<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) < epsilon,
+			abs(x.y - y.y) < epsilon,
+			abs(x.z - y.z) < epsilon,
+			abs(x.w - y.w) < epsilon);
+	}
+
+	template <typename valType>
+	GLM_FUNC_QUALIFIER detail::tvec4<bool> epsilonNotEqual
+	(
+		detail::tquat<valType> const & x, 
+		detail::tquat<valType> const & y, 
+		valType const & epsilon
+	)
+	{
+		return detail::tvec4<bool>(
+			abs(x.x - y.x) >= epsilon,
+			abs(x.y - y.y) >= epsilon,
+			abs(x.z - y.z) >= epsilon,
+			abs(x.w - y.w) >= epsilon);
+	}
+}//namespace glm