diff --git a/glm/gtx/norm.hpp b/glm/gtx/norm.hpp
index d765ffef..2bcc0072 100644
--- a/glm/gtx/norm.hpp
+++ b/glm/gtx/norm.hpp
@@ -26,31 +26,18 @@ namespace glm
 	/// @addtogroup gtx_norm
 	/// @{
 
-	//! Returns the squared length of x.
-	//! From GLM_GTX_norm extension.
-	template <typename T>
+	/// Returns the squared length of x.
+	/// From GLM_GTX_norm extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
 	GLM_FUNC_DECL T length2(
-		T const & x);
+		vecType<T, P> const & x);
 
-	//! Returns the squared length of x.
-	//! From GLM_GTX_norm extension.
-	template <typename genType>
-	GLM_FUNC_DECL typename genType::value_type length2(
-		genType const & x);
-		
-	//! Returns the squared distance between p0 and p1, i.e., length2(p0 - p1).
-	//! From GLM_GTX_norm extension.
-	template <typename T>
+	/// Returns the squared distance between p0 and p1, i.e., length2(p0 - p1).
+	/// From GLM_GTX_norm extension.
+	template <typename T, precision P, template <typename, precision> class vecType>
 	GLM_FUNC_DECL T distance2(
-		T const & p0,
-		T const & p1);
-		
-	//! Returns the squared distance between p0 and p1, i.e., length2(p0 - p1).
-	//! From GLM_GTX_norm extension.
-	template <typename genType>
-	GLM_FUNC_DECL typename genType::value_type distance2(
-		genType const & p0,
-		genType const & p1);
+		vecType<T, P> const & p0,
+		vecType<T, P> const & p1);
 
 	//! Returns the L1 norm between x and y.
 	//! From GLM_GTX_norm extension.
diff --git a/glm/gtx/norm.inl b/glm/gtx/norm.inl
index 2d6b7dc6..f8c351bf 100644
--- a/glm/gtx/norm.inl
+++ b/glm/gtx/norm.inl
@@ -1,81 +1,44 @@
 /// @ref gtx_norm
 /// @file glm/gtx/norm.inl
 
-namespace glm
+namespace glm{
+namespace detail
 {
-	template <typename T>
-	GLM_FUNC_QUALIFIER T length2
-	(
-		T const & x
-	)
+	template <template <typename, precision> class vecType, typename T, precision P, bool Aligned>
+	struct compute_length2
 	{
+		GLM_FUNC_QUALIFIER static T call(vecType<T, P> const & v)
+		{
+			return dot(v, v);
+		}
+	};
+}//namespace detail
+
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType length2(genType x)
+	{
+		GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'length2' accepts only floating-point inputs");
 		return x * x;
 	}
 
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T length2
-	(
-		tvec2<T, P> const & x
-	)
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T length2(vecType<T, P> const & v)
 	{
-		return dot(x, x);
-	}
-
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T length2
-	(
-		tvec3<T, P> const & x
-	)
-	{
-		return dot(x, x);
-	}
-
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T length2
-	(
-		tvec4<T, P> const & x
-	)
-	{
-		return dot(x, x);
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'length2' accepts only floating-point inputs");
+		return detail::compute_length2<vecType, T, P, detail::is_aligned<P>::value>::call(v);
 	}
 
 	template <typename T>
-	GLM_FUNC_QUALIFIER T distance2
-	(
-		T const & p0,
-		T const & p1
-	)
+	GLM_FUNC_QUALIFIER T distance2(T p0, T p1)
 	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
 		return length2(p1 - p0);
 	}
 
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T distance2
-	(
-		tvec2<T, P> const & p0,
-		tvec2<T, P> const & p1
-	)
-	{
-		return length2(p1 - p0);
-	}
-
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T distance2
-	(
-		tvec3<T, P> const & p0,
-		tvec3<T, P> const & p1
-	)
-	{
-		return length2(p1 - p0);
-	}
-
-	template <typename T, precision P>
-	GLM_FUNC_QUALIFIER T distance2
-	(
-		tvec4<T, P> const & p0,
-		tvec4<T, P> const & p1
-	)
+	template <typename T, precision P, template <typename, precision> class vecType>
+	GLM_FUNC_QUALIFIER T distance2(vecType<T, P> const & p0, vecType<T, P> const & p1)
 	{
+		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'distance2' accepts only floating-point inputs");
 		return length2(p1 - p0);
 	}
 
diff --git a/readme.md b/readme.md
index a654e534..ae940173 100644
--- a/readme.md
+++ b/readme.md
@@ -84,6 +84,7 @@ glm::mat4 camera(float Translate, glm::vec2 const & Rotate)
 - Fixed long long warnings when using C++98 on GCC and Clang #482
 - Fixed sign with signed integer function on non-x86 architecture
 - Fixed strict aliaing warnings #473
+- Fixed missing vec1 overload to length2 and distance2 functions #431
 
 ##### Deprecation:
 - Removed GLM_FORCE_SIZE_FUNC define