diff --git a/glm/core/type_mat2x2.hpp b/glm/core/type_mat2x2.hpp
index ac6ea704..d0a8a961 100644
--- a/glm/core/type_mat2x2.hpp
+++ b/glm/core/type_mat2x2.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat2x2
 	{
 		// Implementation detail
diff --git a/glm/core/type_mat2x3.hpp b/glm/core/type_mat2x3.hpp
index 1198bbbc..0a862cad 100644
--- a/glm/core/type_mat2x3.hpp
+++ b/glm/core/type_mat2x3.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat2x3
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat2x4.hpp b/glm/core/type_mat2x4.hpp
index be830776..70c10f10 100644
--- a/glm/core/type_mat2x4.hpp
+++ b/glm/core/type_mat2x4.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat2x4
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat3x2.hpp b/glm/core/type_mat3x2.hpp
index 6e305299..1d6b1056 100644
--- a/glm/core/type_mat3x2.hpp
+++ b/glm/core/type_mat3x2.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat3x2
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat3x3.hpp b/glm/core/type_mat3x3.hpp
index 26f44aec..f217e35c 100644
--- a/glm/core/type_mat3x3.hpp
+++ b/glm/core/type_mat3x3.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat3x3
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat3x4.hpp b/glm/core/type_mat3x4.hpp
index eab4cd44..00719b9a 100644
--- a/glm/core/type_mat3x4.hpp
+++ b/glm/core/type_mat3x4.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat3x4
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat4x2.hpp b/glm/core/type_mat4x2.hpp
index 62e30517..ad1a1084 100644
--- a/glm/core/type_mat4x2.hpp
+++ b/glm/core/type_mat4x2.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat4x2
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat4x3.hpp b/glm/core/type_mat4x3.hpp
index 0b83a596..4f12a089 100644
--- a/glm/core/type_mat4x3.hpp
+++ b/glm/core/type_mat4x3.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat4x3
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_mat4x4.hpp b/glm/core/type_mat4x4.hpp
index 809ee5de..4a13aba2 100644
--- a/glm/core/type_mat4x4.hpp
+++ b/glm/core/type_mat4x4.hpp
@@ -35,7 +35,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tmat4x4
 	{
 		enum ctor{_null};
diff --git a/glm/core/type_vec1.hpp b/glm/core/type_vec1.hpp
index 48e776e3..c27f3468 100644
--- a/glm/core/type_vec1.hpp
+++ b/glm/core/type_vec1.hpp
@@ -36,7 +36,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tvec1
 	{
 		//////////////////////////////////////
diff --git a/glm/core/type_vec2.hpp b/glm/core/type_vec2.hpp
index ebb5e865..74b849ef 100644
--- a/glm/core/type_vec2.hpp
+++ b/glm/core/type_vec2.hpp
@@ -36,7 +36,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tvec2
 	{
 		//////////////////////////////////////
diff --git a/glm/core/type_vec3.hpp b/glm/core/type_vec3.hpp
index 4b8cfd7b..fad1b546 100644
--- a/glm/core/type_vec3.hpp
+++ b/glm/core/type_vec3.hpp
@@ -36,7 +36,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tvec3
 	{	
 		//////////////////////////////////////
diff --git a/glm/core/type_vec4.hpp b/glm/core/type_vec4.hpp
index 60d04703..9ac74382 100644
--- a/glm/core/type_vec4.hpp
+++ b/glm/core/type_vec4.hpp
@@ -36,7 +36,7 @@
 namespace glm{
 namespace detail
 {
-	template <typename T, precision P>
+	template <typename T = float, precision P = defaultp>
 	struct tvec4
 	{
 		//////////////////////////////////////