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diff --git a/src/libraries/glm/gtx/multiple.inl b/src/libraries/glm/gtx/multiple.inl
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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2009-10-26
+// Updated : 2011-06-07
+// Licence : This source is under MIT License
+// File    : glm/gtx/multiple.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Dependency:
+// - GLM core
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+	//////////////////////
+	// higherMultiple
+
+	template <typename genType> 
+	GLM_FUNC_QUALIFIER genType higherMultiple
+	(
+		genType const & Source, 
+		genType const & Multiple
+	)
+	{
+		genType Tmp = Source % Multiple;
+		return Tmp ? Source + Multiple - Tmp : Source;
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER detail::half higherMultiple
+	(
+		detail::half const & SourceH, 
+		detail::half const & MultipleH
+	)
+	{
+		float Source = SourceH.toFloat();
+		float Multiple = MultipleH.toFloat();
+
+		int Tmp = int(float(Source)) % int(Multiple);
+		return detail::half(Tmp ? Source + Multiple - float(Tmp) : Source);
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER float higherMultiple
+	(	
+		float const & Source, 
+		float const & Multiple
+	)
+	{
+		int Tmp = int(Source) % int(Multiple);
+		return Tmp ? Source + Multiple - float(Tmp) : Source;
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER double higherMultiple
+	(
+		double const & Source, 
+		double const & Multiple
+	)
+	{
+		long Tmp = long(Source) % long(Multiple);
+		return Tmp ? Source + Multiple - double(Tmp) : Source;
+	}
+
+	VECTORIZE_VEC_VEC(higherMultiple)
+
+	//////////////////////
+	// lowerMultiple
+
+	template <typename genType> 
+	GLM_FUNC_QUALIFIER genType lowerMultiple
+	(
+		genType const & Source, 
+		genType const & Multiple
+	)
+	{
+		genType Tmp = Source % Multiple;
+		return Tmp ? Source - Tmp : Source;
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER detail::half lowerMultiple
+	(
+		detail::half const & SourceH, 
+		detail::half const & MultipleH
+	)
+	{
+		float Source = SourceH.toFloat();
+		float Multiple = MultipleH.toFloat();
+
+		int Tmp = int(float(Source)) % int(float(Multiple));
+		return detail::half(Tmp ? Source - float(Tmp) : Source);
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER float lowerMultiple
+	(
+		float const & Source, 
+		float const & Multiple
+	)
+	{
+		int Tmp = int(Source) % int(Multiple);
+		return Tmp ? Source - float(Tmp) : Source;
+	}
+
+	template <> 
+	GLM_FUNC_QUALIFIER double lowerMultiple
+	(
+		double const & Source, 
+		double const & Multiple
+	)
+	{
+		long Tmp = long(Source) % long(Multiple);
+		return Tmp ? Source - double(Tmp) : Source;
+	}
+
+	VECTORIZE_VEC_VEC(lowerMultiple)
+}//namespace glm