///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2013 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_tvec4.inl
/// @date 2008-08-23 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm{
namespace detail
{
	template <typename T>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tvec4<T>::size_type tvec4<T>::length() const
	{
		return 4;
	}

	//////////////////////////////////////
	// Accesses

	template <typename T>
	GLM_FUNC_QUALIFIER typename tvec4<T>::value_type & 
	tvec4<T>::operator[]
	(
		size_type i
	)
	{
		assert(i < this->length());
		return (&x)[i];
	}

	template <typename T>
	GLM_FUNC_QUALIFIER typename tvec4<T>::value_type const & 
	tvec4<T>::operator[]
	(
		size_type i
	) const
	{
		assert(i < this->length());
		return (&x)[i];
	}

	//////////////////////////////////////
	// Implicit basic constructors

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4() :
		x(value_type(0)),
		y(value_type(0)),
		z(value_type(0)),
		w(value_type(0))
	{}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		ctor
	)
	{}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		type const & v
	) :
		x(v.x),
		y(v.y),
		z(v.z),
		w(v.w)
	{}

	//////////////////////////////////////
	// Explicit basic constructors

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		value_type const & s_
	) :
		x(s_),
		y(s_),
		z(s_),
		w(s_)
	{}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		value_type const & s1, 
		value_type const & s2, 
		value_type const & s3, 
		value_type const & s4
	) :
		x(s1),
		y(s2),
		z(s3),
		w(s4)
	{}

	//////////////////////////////////////
	// Swizzle constructors

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tref4<T> const & r_
	) :
		x(r_.x),
		y(r_.y),
		z(r_.z),
		w(r_.w)
	{}

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tref2<A> const & v, 
		B const & s1, 
		C const & s2
	) :
		x(value_type(v.x)),
		y(value_type(v.y)),
		z(value_type(s1)),
		w(value_type(s2))
	{}

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s1, 
		tref2<B> const & v, 
		C const & s2
	) :
		x(value_type(s1)),
		y(value_type(v.x)),
		z(value_type(v.y)),
		w(value_type(s2))
	{}

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s1, 
		B const & s2, 
		tref2<C> const & v
	) :
		x(value_type(s1)),
		y(value_type(s2)),
		z(value_type(v.x)),
		w(value_type(v.y))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tref3<A> const & v, 
		B const & s_
	) :
		x(value_type(v.x)),
		y(value_type(v.y)),
		z(value_type(v.z)),
		w(value_type(s_))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s_, 
		tref3<B> const & v
	) :
		x(value_type(s_)),
		y(value_type(v.x)),
		z(value_type(v.y)),
		w(value_type(v.z))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tref2<A> const & v1, 
		tref2<B> const & v2
	) :
		x(value_type(v1.x)),
		y(value_type(v1.y)),
		z(value_type(v2.x)),
		w(value_type(v2.y))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tvec2<A> const & v1, 
		tref2<B> const & v2
	) :
		x(value_type(v1.x)),
		y(value_type(v1.y)),
		z(value_type(v2.x)),
		w(value_type(v2.y))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tref2<A> const & v1, 
		tvec2<B> const & v2
	) :
		x(value_type(v1.x)),
		y(value_type(v1.y)),
		z(value_type(v2.x)),
		w(value_type(v2.y))
	{}

	//////////////////////////////////////
	// Convertion scalar constructors
		
	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		U const & x_
	) :
		x(value_type(x_)),
		y(value_type(x_)),
		z(value_type(x_)),
		w(value_type(x_))
	{}

	template <typename T>
	template <typename A, typename B, typename C, typename D> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & x_, 
		B const & y_, 
		C const & z_, 
		D const & w_
	) :
		x(value_type(x_)),
		y(value_type(y_)),
		z(value_type(z_)),
		w(value_type(w_))
	{}

	//////////////////////////////////////
	// Convertion vector constructors

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tvec2<A> const & v, 
		B const & s1, 
		C const & s2
	) :
		x(value_type(v.x)),
		y(value_type(v.y)),
		z(value_type(s1)),
		w(value_type(s2))
	{}

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s1, 
		tvec2<B> const & v, 
		C const & s2
	) :
		x(value_type(s1)),
		y(value_type(v.x)),
		z(value_type(v.y)),
		w(value_type(s2))
	{}

	template <typename T>
	template <typename A, typename B, typename C> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s1, 
		B const & s2, 
		tvec2<C> const & v
	) :
		x(value_type(s1)),
		y(value_type(s2)),
		z(value_type(v.x)),
		w(value_type(v.y))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tvec3<A> const & v, 
		B const & s_
	) :
		x(value_type(v.x)),
		y(value_type(v.y)),
		z(value_type(v.z)),
		w(value_type(s_))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		A const & s_, 
		tvec3<B> const & v
	) :
		x(value_type(s_)),
		y(value_type(v.x)),
		z(value_type(v.y)),
		w(value_type(v.z))
	{}

	template <typename T>
	template <typename A, typename B> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tvec2<A> const & v1, 
		tvec2<B> const & v2
	) :
		x(value_type(v1.x)),
		y(value_type(v1.y)),
		z(value_type(v2.x)),
		w(value_type(v2.y))
	{}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T>::tvec4
	(
		tvec4<U> const & v
	) :
		x(value_type(v.x)),
		y(value_type(v.y)),
		z(value_type(v.z)),
		w(value_type(v.w))
	{}

	//////////////////////////////////////
	// Unary arithmetic operators

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator= 
	(
		tvec4<T> const & v
	)
	{
		this->x = v.x;
		this->y = v.y;
		this->z = v.z;
		this->w = v.w;
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator= 
	(
		tvec4<U> const & v
	)
	{
		this->x = T(v.x);
		this->y = T(v.y);
		this->z = T(v.z);
		this->w = T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator+= (U s_)
	{
		this->x += T(s_);
		this->y += T(s_);
		this->z += T(s_);
		this->w += T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator+=
	(
		tvec4<U> const & v
	)
	{
		this->x += T(v.x);
		this->y += T(v.y);
		this->z += T(v.z);
		this->w += T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator-= (U s_)
	{
		this->x -= T(s_);
		this->y -= T(s_);
		this->z -= T(s_);
		this->w -= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator-=
	(
		tvec4<U> const & v
	)
	{
		this->x -= T(v.x);
		this->y -= T(v.y);
		this->z -= T(v.z);
		this->w -= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator*= (U s_)
	{
		this->x *= T(s_);
		this->y *= T(s_);
		this->z *= T(s_);
		this->w *= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator*=
	(
		tvec4<U> const & v
	)
	{
		this->x *= T(v.x);
		this->y *= T(v.y);
		this->z *= T(v.z);
		this->w *= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator/= (U s_)
	{
		this->x /= T(s_);
		this->y /= T(s_);
		this->z /= T(s_);
		this->w /= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator/=
	(
		tvec4<U> const & v
	)
	{
		this->x /= T(v.x);
		this->y /= T(v.y);
		this->z /= T(v.z);
		this->w /= T(v.w);
		return *this;
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator++()
	{
		++this->x;
		++this->y;
		++this->z;
		++this->w;
		return *this;
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator--()
	{
		--this->x;
		--this->y;
		--this->z;
		--this->w;
		return *this;
	}

	//////////////////////////////////////
	// Unary bit operators

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator%= (U s_)
	{
		this->x %= T(s_);
		this->y %= T(s_);
		this->z %= T(s_);
		this->w %= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator%=
	(
		tvec4<U> const & v
	)
	{
		this->x %= T(v.x);
		this->y %= T(v.y);
		this->z %= T(v.z);
		this->w %= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator&= (U s_)
	{
		this->x &= T(s_);
		this->y &= T(s_);
		this->z &= T(s_);
		this->w &= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator&=
	(
		tvec4<U> const & v
	)
	{
		this->x &= T(v.x);
		this->y &= T(v.y);
		this->z &= T(v.z);
		this->w &= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator|= (U s_)
	{
		this->x |= T(s_);
		this->y |= T(s_);
		this->z |= T(s_);
		this->w |= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator|=
	(
		tvec4<U> const & v
	)
	{
		this->x |= T(v.x);
		this->y |= T(v.y);
		this->z |= T(v.z);
		this->w |= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator^= (U s_)
	{
		this->x ^= T(s_);
		this->y ^= T(s_);
		this->z ^= T(s_);
		this->w ^= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator^=
	(
		tvec4<U> const & v
	)
	{
		this->x ^= T(v.x);
		this->y ^= T(v.y);
		this->z ^= T(v.z);
		this->w ^= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator<<= (U s_)
	{
		this->x <<= T(s_);
		this->y <<= T(s_);
		this->z <<= T(s_);
		this->w <<= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator<<=
	(
		tvec4<U> const & v
	)
	{
		this->x <<= T(v.x);
		this->y <<= T(v.y);
		this->z <<= T(v.z);
		this->w <<= T(v.w);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator>>= (U s_)
	{
		this->x >>= T(s_);
		this->y >>= T(s_);
		this->z >>= T(s_);
		this->w >>= T(s_);
		return *this;
	}

	template <typename T>
	template <typename U> 
	GLM_FUNC_QUALIFIER tvec4<T> & tvec4<T>::operator>>=
	(
		tvec4<U> const & v
	)
	{
		this->x >>= T(v.x);
		this->y >>= T(v.y);
		this->z >>= T(v.z);
		this->w >>= T(v.w);
		return *this;
	}

	//////////////////////////////////////
	// Swizzle operators

	template <typename T>
	GLM_FUNC_QUALIFIER typename tvec4<T>::value_type 
	tvec4<T>::swizzle
	(	
		comp x_
	) const
	{
		return (*this)[x_];
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec2<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_
	) const
	{
		return tvec2<T>(
			(*this)[x_],
			(*this)[y_]);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec3<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_, 
		comp z_
	) const
	{
		return tvec3<T>(
			(*this)[x_],
			(*this)[y_],
			(*this)[z_]);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_, 
		comp z_, 
		comp w_
	) const
	{
		return tvec4<T>(
			(*this)[x_],
			(*this)[y_],
			(*this)[z_],
			(*this)[w_]);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tref2<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_
	)
	{
		return tref2<T>(
			(*this)[x_],
			(*this)[y_]);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tref3<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_, 
		comp z_
	)
	{
		return tref3<T>(
			(*this)[x_],
			(*this)[y_],
			(*this)[z_]);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tref4<T> tvec4<T>::swizzle
	(
		comp x_, 
		comp y_, 
		comp z_, 
		comp w_
	)
	{
		return tref4<T>(
			(*this)[x_],
			(*this)[y_],
			(*this)[z_],
			(*this)[w_]);
	}

	//////////////////////////////////////
	// Binary arithmetic operators

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator+ 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x + s_,
			v.y + s_,
			v.z + s_,
			v.w + s_);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator+ 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ + v.x,
			s_ + v.y,
			s_ + v.z,
			s_ + v.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator+ 
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x + v2.x,
			v1.y + v2.y,
			v1.z + v2.z,
			v1.w + v2.w);
	}

	//operator-
	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator- 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x - s_,
			v.y - s_,
			v.z - s_,
			v.w - s_);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator- 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ - v.x,
			s_ - v.y,
			s_ - v.z,
			s_ - v.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator- 
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x - v2.x,
			v1.y - v2.y,
			v1.z - v2.z,
			v1.w - v2.w);
	}

	//operator*
	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator* 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x * s_,
			v.y * s_,
			v.z * s_,
			v.w * s_);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator* 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ * v.x,
			s_ * v.y,
			s_ * v.z,
			s_ * v.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator*
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x * v2.x,
			v1.y * v2.y,
			v1.z * v2.z,
			v1.w * v2.w);
	}

	//operator/
	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator/ 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x / s_,
			v.y / s_,
			v.z / s_,
			v.w / s_);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator/ 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ / v.x,
			s_ / v.y,
			s_ / v.z,
			s_ / v.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator/ 
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x / v2.x,
			v1.y / v2.y,
			v1.z / v2.z,
			v1.w / v2.w);
	}

	// Unary constant operators
	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator- 
	(
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			-v.x, 
			-v.y, 
			-v.z, 
			-v.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator++ 
	(
		tvec4<T> const & v, 
		int
	)
	{
		typename tvec4<T>::value_type One(1);
		return tvec4<T>(
			v.x + One, 
			v.y + One, 
			v.z + One, 
			v.w + One);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator-- 
	(
		tvec4<T> const & v, 
		int
	)
	{
		typename tvec4<T>::value_type One(1);
		return tvec4<T>(
			v.x - One, 
			v.y - One, 
			v.z - One, 
			v.w - One);
	}

	//////////////////////////////////////
	// Boolean operators

	template <typename T> 
	GLM_FUNC_QUALIFIER bool operator==
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return (v1.x == v2.x) && (v1.y == v2.y) && (v1.z == v2.z) && (v1.w == v2.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER bool operator!=
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return (v1.x != v2.x) || (v1.y != v2.y) || (v1.z != v2.z) || (v1.w != v2.w);
	}

	//////////////////////////////////////
	// Binary bit operators

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator% 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x % s_,
			v.y % s_,
			v.z % s_,
			v.w % s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator% 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ % v.x,
			s_ % v.y,
			s_ % v.z,
			s_ % v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator%
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x % v2.x,
			v1.y % v2.y,
			v1.z % v2.z,
			v1.w % v2.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator& 
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x & s_,
			v.y & s_,
			v.z & s_,
			v.w & s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator& 
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ & v.x,
			s_ & v.y,
			s_ & v.z,
			s_ & v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator&
	(
		tvec4<T> const & v1,
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x & v2.x,
			v1.y & v2.y,
			v1.z & v2.z,
			v1.w & v2.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator|
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x | s_,
			v.y | s_,
			v.z | s_,
			v.w | s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator|
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ | v.x,
			s_ | v.y,
			s_ | v.z,
			s_ | v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator|
	(
		tvec4<T> const & v1, 
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x | v2.x,
			v1.y | v2.y,
			v1.z | v2.z,
			v1.w | v2.w);
	}
		
	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator^
	(
		tvec4<T> const & v, 
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x ^ s_,
			v.y ^ s_,
			v.z ^ s_,
			v.w ^ s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator^
	(
		typename tvec4<T>::value_type const & s_, 
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ ^ v.x,
			s_ ^ v.y,
			s_ ^ v.z,
			s_ ^ v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator^
	(
		tvec4<T> const & v1,
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x ^ v2.x,
			v1.y ^ v2.y,
			v1.z ^ v2.z,
			v1.w ^ v2.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator<<
	(
		tvec4<T> const & v,
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x << s_,
			v.y << s_,
			v.z << s_,
			v.w << s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator<<
	(
		typename tvec4<T>::value_type const & s_,
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ << v.x,
			s_ << v.y,
			s_ << v.z,
			s_ << v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator<<
	(
		tvec4<T> const & v1,
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x << v2.x,
			v1.y << v2.y,
			v1.z << v2.z,
			v1.w << v2.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator>>
	(
		tvec4<T> const & v,
		typename tvec4<T>::value_type const & s_
	)
	{
		return tvec4<T>(
			v.x >> s_,
			v.y >> s_,
			v.z >> s_,
			v.w >> s_);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator>>
	(
		typename tvec4<T>::value_type const & s_,
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			s_ >> v.x,
			s_ >> v.y,
			s_ >> v.z,
			s_ >> v.w);
	}

	template <typename T>
	GLM_FUNC_QUALIFIER tvec4<T> operator>>
	(
		tvec4<T> const & v1,
		tvec4<T> const & v2
	)
	{
		return tvec4<T>(
			v1.x >> v2.x,
			v1.y >> v2.y,
			v1.z >> v2.z,
			v1.w >> v2.w);
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> operator~
	(
		tvec4<T> const & v
	)
	{
		return tvec4<T>(
			~v.x,
			~v.y,
			~v.z,
			~v.w);
	}

	//////////////////////////////////////
	// tref definition

	template <typename T> 
	tref4<T>::tref4
	(
		T & x_, 
		T & y_, 
		T & z_, 
		T & w_
	) :
		x(x_),
		y(y_),
		z(z_),
		w(w_)
	{}

	template <typename T> 
	tref4<T>::tref4
	(
		tref4<T> const & r
	) :
		x(r.x),
		y(r.y),
		z(r.z),
		w(r.w)
	{}

	template <typename T> 
	tref4<T>::tref4
	(
		tvec4<T> const & v
	) :
		x(v.x),
		y(v.y),
		z(v.z),
		w(v.w)
	{}

	template <typename T> 
	tref4<T>& tref4<T>::operator= 
	(
		tref4<T> const & r
	)
	{
		x = r.x;
		y = r.y;
		z = r.z;
		w = r.w;
		return *this;
	}

	template <typename T> 
	tref4<T>& tref4<T>::operator= 
	(
		tvec4<T> const & v
	)
	{
		x = v.x;
		y = v.y;
		z = v.z;
		w = v.w;
		return *this;
	}

	template <typename T> 
	GLM_FUNC_QUALIFIER tvec4<T> tref4<T>::operator() ()
	{
		return tvec4<T>(this->x, this->y, this->z, this->w);
	}

}//namespace detail
}//namespace glm
