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+///////////////////////////////////////////////////////////////////////////////////
+/// OpenGL Mathematics (glm.g-truc.net)
+///
+/// Copyright (c) 2005 - 2012 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 core
+/// @file glm/core/func_common.hpp
+/// @date 2008-03-08 / 2010-01-26
+/// @author Christophe Riccio
+/// 
+/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+///
+/// @defgroup core_func_common Common functions
+/// @ingroup core
+/// 
+/// These all operate component-wise. The description is per component.
+///////////////////////////////////////////////////////////////////////////////////
+
+#ifndef GLM_CORE_func_common
+#define GLM_CORE_func_common GLM_VERSION
+
+#include "_fixes.hpp"
+
+namespace glm
+{
+	/// @addtogroup core_func_common
+	/// @{
+
+	/// Returns x if x >= 0; otherwise, it returns -x.
+	/// 
+	/// @tparam genType floating-point or signed integer; scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/abs.xml">GLSL abs man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType abs(genType const & x);
+
+	/// Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0. 
+	/// 
+	/// @tparam genType Floating-point or signed integer; scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sign.xml">GLSL sign man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType sign(genType const & x);
+
+	/// Returns a value equal to the nearest integer that is less then or equal to x. 
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floor.xml">GLSL floor man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType floor(genType const & x);
+
+	/// Returns a value equal to the nearest integer to x 
+	/// whose absolute value is not larger than the absolute value of x. 
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/trunc.xml">GLSL trunc man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType trunc(genType const & x);
+
+	/// Returns a value equal to the nearest integer to x. 
+	/// The fraction 0.5 will round in a direction chosen by the 
+	/// implementation, presumably the direction that is fastest. 
+	/// This includes the possibility that round(x) returns the 
+	/// same value as roundEven(x) for all values of x. 
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType round(genType const & x);
+
+	/// Returns a value equal to the nearest integer to x.
+	/// A fractional part of 0.5 will round toward the nearest even
+	/// integer. (Both 3.5 and 4.5 for x will return 4.0.) 
+	///
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/roundEven.xml">GLSL roundEven man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	/// @see <a href="http://developer.amd.com/documentation/articles/pages/New-Round-to-Even-Technique.aspx">New round to even technique</a>
+	template <typename genType> 
+	genType roundEven(genType const & x);
+
+	/// Returns a value equal to the nearest integer 
+	/// that is greater than or equal to x. 
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ceil.xml">GLSL ceil man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType ceil(genType const & x);
+
+	/// Return x - floor(x).
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fract.xml">GLSL fract man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType fract(genType const & x);
+
+	/// Modulus. Returns x - y * floor(x / y) 
+	/// for each component in x using the floating point value y.
+	///
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType mod(
+		genType const & x, 
+		genType const & y);
+
+	/// Modulus. Returns x - y * floor(x / y) 
+	/// for each component in x using the floating point value y.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType mod(
+		genType const & x, 
+		typename genType::value_type const & y);
+
+	/// Returns the fractional part of x and sets i to the integer
+	/// part (as a whole number floating point value). Both the
+	/// return value and the output parameter will have the same
+	/// sign as x.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/modf.xml">GLSL modf man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType modf(
+		genType const & x, 
+		genType & i);
+
+	/// Returns y if y < x; otherwise, it returns x.
+	///
+	/// @tparam genType Floating-point or integer; scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/min.xml">GLSL min man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType min(
+		genType const & x, 
+		genType const & y);
+
+	template <typename genType> 
+	genType min(
+		genType const & x, 
+		typename genType::value_type const & y);
+
+	/// Returns y if x < y; otherwise, it returns x.
+	/// 
+	/// @tparam genType Floating-point or integer; scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/max.xml">GLSL max man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType max(
+		genType const & x, 
+		genType const & y);
+
+	template <typename genType> 
+	genType max(
+		genType const & x, 
+		typename genType::value_type const & y);
+
+	/// Returns min(max(x, minVal), maxVal) for each component in x 
+	/// using the floating-point values minVal and maxVal.
+	///
+	/// @tparam genType Floating-point or integer; scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/clamp.xml">GLSL clamp man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType clamp(
+		genType const & x, 
+		genType const & minVal, 
+		genType const & maxVal); 
+
+	template <typename genType> 
+	genType clamp(
+		genType const & x, 
+		typename genType::value_type const & minVal, 
+		typename genType::value_type const & maxVal); 
+
+	//! @return If genTypeU is a floating scalar or vector: 
+	//! Returns x * (1.0 - a) + y * a, i.e., the linear blend of 
+	//! x and y using the floating-point value a. 
+	//! The value for a is not restricted to the range [0, 1].
+	//! 
+	//! @return If genTypeU is a boolean scalar or vector: 
+	//! Selects which vector each returned component comes
+	//! from. For a component of a that is false, the
+	//! corresponding component of x is returned. For a
+	//! component of a that is true, the corresponding
+	//! component of y is returned. Components of x and y that
+	//! are not selected are allowed to be invalid floating point
+	//! values and will have no effect on the results. Thus, this
+	//! provides different functionality than
+	//! genType mix(genType x, genType y, genType(a))
+	//! where a is a Boolean vector.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mix.xml">GLSL mix man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	/// 
+	/// @param[in]  x Value to interpolate.
+	/// @param[in]  y Value to interpolate.
+	/// @param[in]  a Interpolant.
+	/// 
+	/// @tparam	genTypeT Floating point scalar or vector.
+	/// @tparam genTypeU Floating point or boolean scalar or vector. It can't be a vector if it is the length of genTypeT.
+	/// 
+	/// @code
+	/// #include <glm/glm.hpp>
+	/// ...
+	/// float a;
+	/// bool b;
+	/// glm::dvec3 e;
+	/// glm::dvec3 f;
+	/// glm::vec4 g;
+	/// glm::vec4 h;
+	/// ...
+	/// glm::vec4 r = glm::mix(g, h, a); // Interpolate with a floating-point scalar two vectors. 
+	/// glm::vec4 s = glm::mix(g, h, b); // Teturns g or h;
+	/// glm::dvec3 t = glm::mix(e, f, a); // Types of the third parameter is not required to match with the first and the second.
+	/// glm::vec4 u = glm::mix(g, h, r); // Interpolations can be perform per component with a vector for the last parameter.
+	/// @endcode
+	template <typename genTypeT, typename genTypeU> 
+	genTypeT mix(genTypeT const & x, genTypeT const & y, genTypeU const & a);
+
+	//! Returns 0.0 if x < edge, otherwise it returns 1.0.
+	//! 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType step(
+		genType const & edge, 
+		genType const & x);
+
+	template <typename genType> 
+	genType step(
+		typename genType::value_type const & edge, 
+		genType const & x);
+
+	/// Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
+	/// performs smooth Hermite interpolation between 0 and 1
+	/// when edge0 < x < edge1. This is useful in cases where
+	/// you would want a threshold function with a smooth
+	/// transition. This is equivalent to:
+	/// genType t;
+	/// t = clamp ((x – edge0) / (edge1 – edge0), 0, 1);
+	/// return t * t * (3 – 2 * t);
+	/// Results are undefined if edge0 >= edge1.
+	///
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/smoothstep.xml">GLSL smoothstep man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	genType smoothstep(
+		genType const & edge0, 
+		genType const & edge1, 
+		genType const & x);
+
+	template <typename genType> 
+	genType smoothstep(
+		typename genType::value_type const & edge0, 
+		typename genType::value_type const & edge1, 
+		genType const & x);
+
+	/// Returns true if x holds a NaN (not a number)
+	/// representation in the underlying implementation's set of
+	/// floating point representations. Returns false otherwise,
+	/// including for implementations with no NaN
+	/// representations.
+	/// 
+	/// /!\ When using compiler fast math, this function may fail.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	typename genType::bool_type isnan(genType const & x);
+
+	/// Returns true if x holds a positive infinity or negative
+	/// infinity representation in the underlying implementation's
+	/// set of floating point representations. Returns false
+	/// otherwise, including for implementations with no infinity
+	/// representations.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isinf.xml">GLSL isinf man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType> 
+	typename genType::bool_type isinf(genType const & x);
+
+	/// Returns a signed integer value representing
+	/// the encoding of a floating-point value. The floatingpoint
+	/// value's bit-level representation is preserved.
+	///
+	/// @tparam genType Single-precision floating-point scalar or vector types.
+	/// @tparam genIType Signed integer scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType, typename genIType>
+	genIType floatBitsToInt(genType const & value);
+
+	/// Returns a unsigned integer value representing
+	/// the encoding of a floating-point value. The floatingpoint
+	/// value's bit-level representation is preserved.
+	///
+	/// @tparam genType Single-precision floating-point scalar or vector types.
+	/// @tparam genUType Unsigned integer scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType, typename genUType>
+	genUType floatBitsToUint(genType const & value);
+
+	/// Returns a floating-point value corresponding to a signed
+	/// integer encoding of a floating-point value.
+	/// If an inf or NaN is passed in, it will not signal, and the
+	/// resulting floating point value is unspecified. Otherwise,
+	/// the bit-level representation is preserved.
+	/// 
+	/// @tparam genType Single-precision floating-point scalar or vector types.
+	/// @tparam genIType Signed integer scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	/// 
+	/// @todo Clarify this declaration, we don't need to actually specify the return type
+	template <typename genType, typename genIType>
+	genType intBitsToFloat(genIType const & value);
+
+	/// Returns a floating-point value corresponding to a
+	/// unsigned integer encoding of a floating-point value.
+	/// If an inf or NaN is passed in, it will not signal, and the
+	/// resulting floating point value is unspecified. Otherwise,
+	/// the bit-level representation is preserved.
+	/// 
+	/// @tparam genType Single-precision floating-point scalar or vector types.
+	/// @tparam genUType Unsigned integer scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	/// 
+	/// @todo Clarify this declaration, we don't need to actually specify the return type
+	template <typename genType, typename genUType>
+	genType uintBitsToFloat(genUType const & value);
+
+	/// Computes and returns a * b + c.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fma.xml">GLSL fma man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType>
+	genType fma(genType const & a, genType const & b, genType const & c);
+
+	/// Splits x into a floating-point significand in the range
+	/// [0.5, 1.0) and an integral exponent of two, such that:
+	/// x = significand * exp(2, exponent)
+	/// 
+	/// The significand is returned by the function and the
+	/// exponent is returned in the parameter exp. For a
+	/// floating-point value of zero, the significant and exponent
+	/// are both zero. For a floating-point value that is an
+	/// infinity or is not a number, the results are undefined.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	/// 
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/frexp.xml">GLSL frexp man page</a>
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType, typename genIType>
+	genType frexp(genType const & x, genIType & exp);
+
+	/// Builds a floating-point number from x and the
+	/// corresponding integral exponent of two in exp, returning:
+	/// significand * exp(2, exponent)
+	/// 
+	/// If this product is too large to be represented in the
+	/// floating-point type, the result is undefined.
+	/// 
+	/// @tparam genType Floating-point scalar or vector types.
+	///  
+	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ldexp.xml">GLSL ldexp man page</a>; 
+	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
+	template <typename genType, typename genIType>
+	genType ldexp(genType const & x, genIType const & exp);
+
+	/// @}
+}//namespace glm
+
+#include "func_common.inl"
+
+#endif//GLM_CORE_func_common