text: ///////////////////////////////////////////////////////////////////////////////////
  /// OpenGL Mathematics (glm.g-truc.net)
  ///
  /// Copyright (c) 2005 - 2014 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/type_tvec2.inl
  /// @date 2008-08-18 / 2011-06-15
  /// @author Christophe Riccio
  ///////////////////////////////////////////////////////////////////////////////////
  
  namespace glm{
  namespace detail
  {
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER GLM_CONSTEXPR length_t tvec2<T, P>::length() const
  	{
  		return 2;
  	}
  
  	//////////////////////////////////////
  	// Accesses
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER T & tvec2<T, P>::operator[](length_t i)
  	{
  		assert(i >= 0 && i < this->length());
  		return (&x)[i];
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER T const & tvec2<T, P>::operator[](length_t i) const
  	{
  		assert(i >= 0 && i < this->length());
  		return (&x)[i];
  	}
  
  	//////////////////////////////////////
  	// Implicit basic constructors
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2() :
  		x(0),
  		y(0)
  	{}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(tvec2<T, P> const & v) :
  		x(v.x),
  		y(v.y)
  	{}
  
  	template <typename T, precision P>
  	template <precision Q>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(tvec2<T, Q> const & v) :
  		x(v.x),
  		y(v.y)
  	{}
  
  	//////////////////////////////////////
  	// Explicit basic constructors
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(ctor)
  	{}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(T const & s) :
  		x(s),
  		y(s)
  	{}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2
  	(
  		T const & s1,
  		T const & s2
  	) :
  		x(s1),
  		y(s2)
  	{}
  
  	//////////////////////////////////////
  	// Conversion scalar constructors
  
  	template <typename T, precision P>
  	template <typename U, typename V>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2
  	(
  		U const & a,
  		V const & b
  	) :
  		x(static_cast<T>(a)),
  		y(static_cast<T>(b))
  	{}
  
  	//////////////////////////////////////
  	// Conversion vector constructors
  
  	template <typename T, precision P>
  	template <typename U, precision Q>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2
  	(
  		tvec2<U, Q> const & v
  	) :
  		x(static_cast<T>(v.x)),
  		y(static_cast<T>(v.y))
  	{}
  
  	template <typename T, precision P>
  	template <typename U, precision Q>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2
  	(
  		tvec3<U, Q> const & v
  	) :
  		x(static_cast<T>(v.x)),
  		y(static_cast<T>(v.y))
  	{}
  
  	template <typename T, precision P>
  	template <typename U, precision Q>
  	GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2
  	(
  		tvec4<U, Q> const & v
  	) :
  		x(static_cast<T>(v.x)),
  		y(static_cast<T>(v.y))
  	{}
  
  	//////////////////////////////////////
  	// Unary arithmetic operators
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator=
  	(
  		tvec2<T, P> const & v
  	)
  	{
  		this->x = v.x;
  		this->y = v.y;
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator=
  	(
  		tvec2<U, P> const & v
  	)
  	{
  		this->x = static_cast<T>(v.x);
  		this->y = static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator+=
  	(
  		U s
  	)
  	{
  		this->x += static_cast<T>(s);
  		this->y += static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator+=
  	(
  		tvec2<U, P> const & v
  	)
  	{
  		this->x += static_cast<T>(v.x);
  		this->y += static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator-=
  	(
  		U s
  	)
  	{
  		this->x -= static_cast<T>(s);
  		this->y -= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator-=
  	(
  		tvec2<U, P> const & v
  	)
  	{
  		this->x -= static_cast<T>(v.x);
  		this->y -= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator*=
  	(
  		U s
  	)
  	{
  		this->x *= static_cast<T>(s);
  		this->y *= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator*=
  	(
  		tvec2<U, P> const & v
  	)
  	{
  		this->x *= static_cast<T>(v.x);
  		this->y *= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator/=
  	(
  		U s
  	)
  	{
  		this->x /= static_cast<T>(s);
  		this->y /= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator/=
  	(
  		tvec2<U, P> const & v
  	)
  	{
  		this->x /= static_cast<T>(v.x);
  		this->y /= static_cast<T>(v.y);
  		return *this;
  	}
  
  	//////////////////////////////////////
  	// Increment and decrement operators
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator++()
  	{
  		++this->x;
  		++this->y;
  		return *this;
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator--()
  	{
  		--this->x;
  		--this->y;
  		return *this;
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> tvec2<T, P>::operator++(int)
  	{
  		tvec2<T, P> Result(*this);
  		++*this;
  		return Result;
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> tvec2<T, P>::operator--(int)
  	{
  		tvec2<T, P> Result(*this);
  		--*this;
  		return Result;
  	}
  
  	//////////////////////////////////////
  	// Boolean operators
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER bool operator==
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return (v1.x == v2.x) && (v1.y == v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER bool operator!=
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return (v1.x != v2.x) || (v1.y != v2.y);
  	}
  
  	//////////////////////////////////////
  	// Unary bit operators
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator%= (U s)
  	{
  		this->x %= static_cast<T>(s);
  		this->y %= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator%= (tvec2<U, P> const & v)
  	{
  		this->x %= static_cast<T>(v.x);
  		this->y %= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator&= (U s)
  	{
  		this->x &= static_cast<T>(s);
  		this->y &= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator&= (tvec2<U, P> const & v)
  	{
  		this->x &= static_cast<T>(v.x);
  		this->y &= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator|= (U s)
  	{
  		this->x |= static_cast<T>(s);
  		this->y |= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator|= (tvec2<U, P> const & v)
  	{
  		this->x |= static_cast<T>(v.x);
  		this->y |= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator^= (U s)
  	{
  		this->x ^= static_cast<T>(s);
  		this->y ^= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator^= (tvec2<U, P> const & v)
  	{
  		this->x ^= static_cast<T>(v.x);
  		this->y ^= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator<<= (U s)
  	{
  		this->x <<= static_cast<T>(s);
  		this->y <<= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator<<= (tvec2<U, P> const & v)
  	{
  		this->x <<= static_cast<T>(v.x);
  		this->y <<= static_cast<T>(v.y);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator>>= (U s)
  	{
  		this->x >>= static_cast<T>(s);
  		this->y >>= static_cast<T>(s);
  		return *this;
  	}
  
  	template <typename T, precision P>
  	template <typename U>
  	GLM_FUNC_QUALIFIER tvec2<T, P> & tvec2<T, P>::operator>>= (tvec2<U, P> const & v)
  	{
  		this->x >>= static_cast<T>(v.x);
  		this->y >>= static_cast<T>(v.y);
  		return *this;
  	}
  
  	//////////////////////////////////////
  	// Binary arithmetic operators
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator+
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x + s,
  			v.y + s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator+
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s + v.x,
  			s + v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator+
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x + v2.x,
  			v1.y + v2.y);
  	}
  
  	//operator-
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator-
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x - s,
  			v.y - s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator-
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s - v.x,
  			s - v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator-
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x - v2.x,
  			v1.y - v2.y);
  	}
  
  	//operator*
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator*
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x * s,
  			v.y * s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator*
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s * v.x,
  			s * v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator*
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x * v2.x,
  			v1.y * v2.y);
  	}
  
  	//operator/
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator/
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x / s,
  			v.y / s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator/
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s / v.x,
  			s / v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator/
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x / v2.x,
  			v1.y / v2.y);
  	}
  
  	// Unary constant operators
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator-
  	(
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			-v.x,
  			-v.y);
  	}
  
  	//////////////////////////////////////
  	// Binary bit operators
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator%
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x % s,
  			v.y % s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator%
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s % v.x,
  			s % v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator%
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x % v2.x,
  			v1.y % v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator&
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x & s,
  			v.y & s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator&
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s & v.x,
  			s & v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator&
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x & v2.x,
  			v1.y & v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator|
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x | s,
  			v.y | s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator|
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s | v.x,
  			s | v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator|
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x | v2.x,
  			v1.y | v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator^
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x ^ s,
  			v.y ^ s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator^
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s ^ v.x,
  			s ^ v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator^
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x ^ v2.x,
  			v1.y ^ v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator<<
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x << s,
  			v.y << s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator<<
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s << v.x,
  			s << v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator<<
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x << v2.x,
  			v1.y << v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator>>
  	(
  		tvec2<T, P> const & v,
  		T const & s
  	)
  	{
  		return tvec2<T, P>(
  			v.x >> s,
  			v.y >> s);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator>>
  	(
  		T const & s,
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			s >> v.x,
  			s >> v.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator>>
  	(
  		tvec2<T, P> const & v1,
  		tvec2<T, P> const & v2
  	)
  	{
  		return tvec2<T, P>(
  			v1.x >> v2.x,
  			v1.y >> v2.y);
  	}
  
  	template <typename T, precision P>
  	GLM_FUNC_QUALIFIER tvec2<T, P> operator~
  	(
  		tvec2<T, P> const & v
  	)
  	{
  		return tvec2<T, P>(
  			~v.x,
  			~v.y);
  	}
  
  }//namespace detail
  }//namespace glm
  