From b0c1777b5745f16ab535a812c98c4e8c085d03e6 Mon Sep 17 00:00:00 2001
From: Mathias Labeyrie <mathias.labeyrie@gmail.com>
Date: Wed, 5 Nov 2014 10:58:56 +0100
Subject: [PATCH] More constants related to pi

---
 glm/gtc/constants.hpp | 20 ++++++++++++++++++++
 glm/gtc/constants.inl | 24 ++++++++++++++++++++++++
 2 files changed, 44 insertions(+)

diff --git a/glm/gtc/constants.hpp b/glm/gtc/constants.hpp
index 76fc1eb4..fc721f10 100644
--- a/glm/gtc/constants.hpp
+++ b/glm/gtc/constants.hpp
@@ -71,6 +71,11 @@ namespace glm
 	template <typename genType>
 	GLM_FUNC_DECL genType pi();
 
+	/// Return pi * 2.
+	/// @see gtc_constants
+	template <typename genType>
+	GLM_FUNC_DECL genType two_pi();
+
 	/// Return square root of pi.
 	/// @see gtc_constants
 	template <typename genType>
@@ -81,6 +86,11 @@ namespace glm
 	template <typename genType>
 	GLM_FUNC_DECL genType half_pi();
 
+	/// Return pi / 2 * 3.
+	/// @see gtc_constants
+	template <typename genType>
+	GLM_FUNC_DECL genType three_half_pi();
+
 	/// Return pi / 4.
 	/// @see gtc_constants
 	template <typename genType>
@@ -91,11 +101,21 @@ namespace glm
 	template <typename genType>
 	GLM_FUNC_DECL genType one_over_pi();
 
+	/// Return 1 / (pi * 2).
+	/// @see gtc_constants
+	template <typename genType>
+	GLM_FUNC_DECL genType one_over_two_pi();
+
 	/// Return 2 / pi.
 	/// @see gtc_constants
 	template <typename genType>
 	GLM_FUNC_DECL genType two_over_pi();
 
+	/// Return 4 / pi.
+	/// @see gtc_constants
+	template <typename genType>
+	GLM_FUNC_DECL genType four_over_pi();
+
 	/// Return 2 / sqrt(pi).
 	/// @see gtc_constants
 	template <typename genType>
diff --git a/glm/gtc/constants.inl b/glm/gtc/constants.inl
index a9ea0095..314ebfbc 100644
--- a/glm/gtc/constants.inl
+++ b/glm/gtc/constants.inl
@@ -54,6 +54,12 @@ namespace glm
 		return genType(3.14159265358979323846264338327950288);
 	}
 
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType two_pi()
+	{
+		return genType(6.28318530717958647692528676655900576);
+	}
+
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType root_pi()
 	{
@@ -66,6 +72,12 @@ namespace glm
 		return genType(1.57079632679489661923132169163975144);
 	}
 
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType three_half_pi()
+	{
+		return genType(4.71238898038468985769396507491925432);           
+	}
+
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType quarter_pi()
 	{
@@ -78,12 +90,24 @@ namespace glm
 		return genType(0.318309886183790671537767526745028724);
 	}
 
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType one_over_two_pi()
+	{
+		return genType(0.159154943091895335768883763372514362);
+	}
+
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType two_over_pi()
 	{
 		return genType(0.636619772367581343075535053490057448);
 	}
 
+	template <typename genType>
+	GLM_FUNC_QUALIFIER genType four_over_pi()
+	{
+		return genType(1.273239544735162686151070106980114898);
+	}
+
 	template <typename genType>
 	GLM_FUNC_QUALIFIER genType two_over_root_pi()
 	{