///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 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.
/// 
/// Restrictions:
///             By making use of the Software for military purposes, you choose to make
///             a Bunny unhappy.
/// 
/// 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/detail/type_tvec2.inl
/// @date 2008-08-18 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm
{
        //////////////////////////////////////
        // Implicit basic constructors

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2()
#               ifndef GLM_FORCE_NO_CTOR_INIT
                        : x(0), y(0)
#               endif
        {}

        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 & a, T const & b)
                : x(a), y(b)
        {}

        //////////////////////////////////////
        // Conversion scalar constructors

        template <typename T, precision P>
        template <typename A, typename B>
        GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(A const & a, B const & b)
                : x(static_cast<T>(a))
                , y(static_cast<T>(b))
        {}

        template <typename T, precision P>
        template <typename A, typename B>
        GLM_FUNC_QUALIFIER tvec2<T, P>::tvec2(tvec1<A, P> const & a, tvec1<B, P> const & b)
                : x(static_cast<T>(a.x))
                , y(static_cast<T>(b.x))
        {}

        //////////////////////////////////////
        // 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))
        {}

        //////////////////////////////////////
        // Component accesses

#       ifdef GLM_FORCE_SIZE_FUNC
                template <typename T, precision P>
                GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tvec2<T, P>::size_type tvec2<T, P>::size() const
                {
                        return 2;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T & tvec2<T, P>::operator[](typename tvec2<T, P>::size_type i)
                {
                        assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
                        return (&x)[i];
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T const & tvec2<T, P>::operator[](typename tvec2<T, P>::size_type i) const
                {
                        assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
                        return (&x)[i];
                }
#       else
                template <typename T, precision P>
                GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tvec2<T, P>::length_type tvec2<T, P>::length() const
                {
                        return 2;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T & tvec2<T, P>::operator[](typename tvec2<T, P>::length_type i)
                {
                        assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
                        return (&x)[i];
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T const & tvec2<T, P>::operator[](typename tvec2<T, P>::length_type i) const
                {
                        assert(i >= 0 && static_cast<detail::component_count_t>(i) < detail::component_count(*this));
                        return (&x)[i];
                }
#       endif//GLM_FORCE_SIZE_FUNC

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

        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+=(tvec1<U, P> const & v)
        {
                this->x += static_cast<T>(v.x);
                this->y += static_cast<T>(v.x);
                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-=(tvec1<U, P> const & v)
        {
                this->x -= static_cast<T>(v.x);
                this->y -= static_cast<T>(v.x);
                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*=(tvec1<U, P> const & v)
        {
                this->x *= static_cast<T>(v.x);
                this->y *= static_cast<T>(v.x);
                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/=(tvec1<U, P> const & v)
        {
                this->x /= static_cast<T>(v.x);
                this->y /= static_cast<T>(v.x);
                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%=(tvec1<U, P> const & v)
        {
                this->x %= static_cast<T>(v.x);
                this->y %= static_cast<T>(v.x);
                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&=(tvec1<U, P> const & v)
        {
                this->x &= static_cast<T>(v.x);
                this->y &= static_cast<T>(v.x);
                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|=(tvec1<U, P> const & v)
        {
                this->x |= static_cast<T>(v.x);
                this->y |= static_cast<T>(v.x);
                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^=(tvec1<U, P> const & v)
        {
                this->x ^= static_cast<T>(v.x);
                this->y ^= static_cast<T>(v.x);
                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<<=(tvec1<U, P> const & v)
        {
                this->x <<= static_cast<T>(v.x);
                this->y <<= static_cast<T>(v.x);
                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>>=(tvec1<U, P> const & v)
        {
                this->x >>= static_cast<T>(v.x);
                this->y >>= static_cast<T>(v.x);
                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+(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x + v2.x,
                        v1.y + v2.x);
        }

        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+(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x + v2.x,
                        v1.x + v2.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-(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x - v2.x,
                        v1.y - v2.x);
        }

        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-(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x - v2.x,
                        v1.x - v2.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 & v1, T const & v2)
        {
                return tvec2<T, P>(
                        v1.x * v2,
                        v1.y * v2);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec2<T, P> operator*(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x * v2.x,
                        v1.y * v2.x);
        }

        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*(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x * v2.x,
                        v1.x * v2.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/(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x / v2.x,
                        v1.y / v2.x);
        }

        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/(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x / v2.x,
                        v1.x / v2.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%(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x % v2.x,
                        v1.y % v2.x);
        }

        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%(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x % v2.x,
                        v1.x % v2.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&(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x & v2.x,
                        v1.y & v2.x);
        }

        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&(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x & v2.x,
                        v1.x & v2.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|(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x | v2.x,
                        v1.y | v2.x);
        }

        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|(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x | v2.x,
                        v1.x | v2.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^(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x ^ v2.x,
                        v1.y ^ v2.x);
        }

        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^(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x ^ v2.x,
                        v1.x ^ v2.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<<(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x << v2.x,
                        v1.y << v2.x);
        }

        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<<(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x << v2.x,
                        v1.x << v2.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>>(tvec2<T, P> const & v1, tvec1<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x >> v2.x,
                        v1.y >> v2.x);
        }

        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>>(tvec1<T, P> const & v1, tvec2<T, P> const & v2)
        {
                return tvec2<T, P>(
                        v1.x >> v2.x,
                        v1.x >> v2.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 glm