///////////////////////////////////////////////////////////////////////////////////
/// 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_tvec3.inl
/// @date 2008-08-22 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

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

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3()
#               ifndef GLM_FORCE_NO_CTOR_INIT 
                        : x(0), y(0), z(0)
#               endif
        {}

        template <typename T, precision P>
        template <precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec3<T, Q> const & v)
                : x(v.x), y(v.y), z(v.z)
        {}

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

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(ctor)
        {}

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(T const & s)
                : x(s), y(s), z(s)
        {}

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(T const & a, T const & b, T const & c)
                : x(a), y(b), z(c)
        {}

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

        template <typename T, precision P>
        template <typename A, typename B, typename C>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(A const & a, B const & b, C const & c) :
                x(static_cast<T>(a)),
                y(static_cast<T>(b)),
                z(static_cast<T>(c))
        {}

        template <typename T, precision P>
        template <typename A, typename B, typename C>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec1<A, P> const & a, tvec1<B, P> const & b, tvec1<C, P> const & c) :
                x(static_cast<T>(a)),
                y(static_cast<T>(b)),
                z(static_cast<T>(c))
        {}

        //////////////////////////////////////
        // Conversion vector constructors

        template <typename T, precision P>
        template <typename A, typename B, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec2<A, Q> const & a, B const & b) :
                x(static_cast<T>(a.x)),
                y(static_cast<T>(a.y)),
                z(static_cast<T>(b))
        {}

        template <typename T, precision P>
        template <typename A, typename B, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec2<A, Q> const & a, tvec1<B, Q> const & b) :
                x(static_cast<T>(a.x)),
                y(static_cast<T>(a.y)),
                z(static_cast<T>(b.x))
        {}

        template <typename T, precision P>
        template <typename A, typename B, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(A const & a, tvec2<B, Q> const & b) :
                x(static_cast<T>(a)),
                y(static_cast<T>(b.x)),
                z(static_cast<T>(b.y))
        {}

        template <typename T, precision P>
        template <typename A, typename B, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec1<A, Q> const & a, tvec2<B, Q> const & b) :
                x(static_cast<T>(a.x)),
                y(static_cast<T>(b.x)),
                z(static_cast<T>(b.y))
        {}

        template <typename T, precision P>
        template <typename U, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec3<U, Q> const & v) :
                x(static_cast<T>(v.x)),
                y(static_cast<T>(v.y)),
                z(static_cast<T>(v.z))
        {}

        template <typename T, precision P>
        template <typename U, precision Q>
        GLM_FUNC_QUALIFIER tvec3<T, P>::tvec3(tvec4<U, Q> const & v) :
                x(static_cast<T>(v.x)),
                y(static_cast<T>(v.y)),
                z(static_cast<T>(v.z))
        {}

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

#       ifdef GLM_FORCE_SIZE_FUNC
                template <typename T, precision P>
                GLM_FUNC_QUALIFIER GLM_CONSTEXPR typename tvec3<T, P>::size_type tvec3<T, P>::size() const
                {
                        return 3;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T & tvec3<T, P>::operator[](typename tvec3<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 & tvec3<T, P>::operator[](typename tvec3<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 tvec3<T, P>::length_type tvec3<T, P>::length() const
                {
                        return 3;
                }

                template <typename T, precision P>
                GLM_FUNC_QUALIFIER T & tvec3<T, P>::operator[](typename tvec3<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 & tvec3<T, P>::operator[](typename tvec3<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 tvec3<T, P>& tvec3<T, P>::operator=(tvec3<U, P> const & v)
        {
                this->x = static_cast<T>(v.x);
                this->y = static_cast<T>(v.y);
                this->z = static_cast<T>(v.z);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator+=(U s)
        {
                this->x += static_cast<T>(s);
                this->y += static_cast<T>(s);
                this->z += static_cast<T>(s);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator+=(tvec1<U, P> const & v)
        {
                this->x += static_cast<T>(v.x);
                this->y += static_cast<T>(v.x);
                this->z += static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator+=(tvec3<U, P> const & v)
        {
                this->x += static_cast<T>(v.x);
                this->y += static_cast<T>(v.y);
                this->z += static_cast<T>(v.z);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator-=(U s)
        {
                this->x -= static_cast<T>(s);
                this->y -= static_cast<T>(s);
                this->z -= static_cast<T>(s);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator-=(tvec1<U, P> const & v)
        {
                this->x -= static_cast<T>(v.x);
                this->y -= static_cast<T>(v.x);
                this->z -= static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator-=(tvec3<U, P> const & v)
        {
                this->x -= static_cast<T>(v.x);
                this->y -= static_cast<T>(v.y);
                this->z -= static_cast<T>(v.z);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator*=(U s)
        {
                this->x *= static_cast<T>(s);
                this->y *= static_cast<T>(s);
                this->z *= static_cast<T>(s);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator*=(tvec1<U, P> const & v)
        {
                this->x *= static_cast<T>(v.x);
                this->y *= static_cast<T>(v.x);
                this->z *= static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator*=(tvec3<U, P> const & v)
        {
                this->x *= static_cast<T>(v.x);
                this->y *= static_cast<T>(v.y);
                this->z *= static_cast<T>(v.z);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator/=(U s)
        {
                this->x /= static_cast<T>(s);
                this->y /= static_cast<T>(s);
                this->z /= static_cast<T>(s);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator/=(tvec1<U, P> const & v)
        {
                this->x /= static_cast<T>(v.x);
                this->y /= static_cast<T>(v.x);
                this->z /= static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator/=(tvec3<U, P> const & v)
        {
                this->x /= static_cast<T>(v.x);
                this->y /= static_cast<T>(v.y);
                this->z /= static_cast<T>(v.z);
                return *this;
        }

        //////////////////////////////////////
        // Increment and decrement operators

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator++()
        {
                ++this->x;
                ++this->y;
                ++this->z;
                return *this;
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator--()
        {
                --this->x;
                --this->y;
                --this->z;
                return *this;
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tvec3<T, P> tvec3<T, P>::operator++(int)
        {
                tvec3<T, P> Result(*this);
                ++*this;
                return Result;
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tvec3<T, P> tvec3<T, P>::operator--(int)
        {
                tvec3<T, P> Result(*this);
                --*this;
                return Result;
        }

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

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator%=(U s)
        {
                this->x %= s;
                this->y %= s;
                this->z %= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator%=(tvec1<U, P> const & v)
        {
                this->x %= v.x;
                this->y %= v.x;
                this->z %= v.x;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator%=(tvec3<U, P> const & v)
        {
                this->x %= v.x;
                this->y %= v.y;
                this->z %= v.z;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator&=(U s)
        {
                this->x &= s;
                this->y &= s;
                this->z &= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator&=(tvec1<U, P> const & v)
        {
                this->x &= v.x;
                this->y &= v.x;
                this->z &= v.x;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator&=(tvec3<U, P> const & v)
        {
                this->x &= v.x;
                this->y &= v.y;
                this->z &= v.z;
                return *this;
        }

        template <typename T, precision P>
        template <typename U>
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator|=(U s)
        {
                this->x |= s;
                this->y |= s;
                this->z |= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator|=(tvec1<U, P> const & v)
        {
                this->x |= v.x;
                this->y |= v.x;
                this->z |= v.x;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator|=(tvec3<U, P> const & v)
        {
                this->x |= v.x;
                this->y |= v.y;
                this->z |= v.z;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator^=(U s)
        {
                this->x ^= s;
                this->y ^= s;
                this->z ^= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator^=(tvec1<U, P> const & v)
        {
                this->x ^= v.x;
                this->y ^= v.x;
                this->z ^= v.x;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator^=(tvec3<U, P> const & v)
        {
                this->x ^= v.x;
                this->y ^= v.y;
                this->z ^= v.z;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator<<=(U s)
        {
                this->x <<= s;
                this->y <<= s;
                this->z <<= s;
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator<<=(tvec1<U, P> const & v)
        {
                this->x <<= static_cast<T>(v.x);
                this->y <<= static_cast<T>(v.x);
                this->z <<= static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator<<=(tvec3<U, P> const & v)
        {
                this->x <<= static_cast<T>(v.x);
                this->y <<= static_cast<T>(v.y);
                this->z <<= static_cast<T>(v.z);
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator>>=(U s)
        {
                this->x >>= static_cast<T>(s);
                this->y >>= static_cast<T>(s);
                this->z >>= static_cast<T>(s);
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator>>=(tvec1<U, P> const & v)
        {
                this->x >>= static_cast<T>(v.x);
                this->y >>= static_cast<T>(v.x);
                this->z >>= static_cast<T>(v.x);
                return *this;
        }

        template <typename T, precision P>
        template <typename U> 
        GLM_FUNC_QUALIFIER tvec3<T, P> & tvec3<T, P>::operator>>=(tvec3<U, P> const & v)
        {
                this->x >>= static_cast<T>(v.x);
                this->y >>= static_cast<T>(v.y);
                this->z >>= static_cast<T>(v.z);
                return *this;
        }

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

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER bool operator==(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return (v1.x == v2.x) && (v1.y == v2.y) && (v1.z == v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER bool operator!=(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return (v1.x != v2.x) || (v1.y != v2.y) || (v1.z != v2.z);
        }

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

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator+(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x + s,
                        v.y + s,
                        v.z + s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator+(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x + s.x,
                        v.y + s.x,
                        v.z + s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator+(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s + v.x,
                        s + v.y,
                        s + v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator+(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x + v.x,
                        s.x + v.y,
                        s.x + v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator+(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x + v2.x,
                        v1.y + v2.y,
                        v1.z + v2.z);
        }

        //operator-
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x - s,
                        v.y - s,
                        v.z - s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x - s.x,
                        v.y - s.x,
                        v.z - s.x);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s - v.x,
                        s - v.y,
                        s - v.z);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x - v.x,
                        s.x - v.y,
                        s.x - v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x - v2.x,
                        v1.y - v2.y,
                        v1.z - v2.z);
        }

        //operator*
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x * s,
                        v.y * s,
                        v.z * s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x * s.x,
                        v.y * s.x,
                        v.z * s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator*(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s * v.x,
                        s * v.y,
                        s * v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x * v.x,
                        s.x * v.y,
                        s.x * v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator*(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x * v2.x,
                        v1.y * v2.y,
                        v1.z * v2.z);
        }

        //operator/
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator/(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x / s,
                        v.y / s,
                        v.z / s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator/(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x / s.x,
                        v.y / s.x,
                        v.z / s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator/(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s / v.x,
                        s / v.y,
                        s / v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator/(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x / v.x,
                        s.x / v.y,
                        s.x / v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator/(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x / v2.x,
                        v1.y / v2.y,
                        v1.z / v2.z);
        }

        // Unary constant operators
        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator-(tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        -v.x, 
                        -v.y, 
                        -v.z);
        }

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

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator%(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x % s,
                        v.y % s,
                        v.z % s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator%(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x % s.x,
                        v.y % s.x,
                        v.z % s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator%(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s % v.x,
                        s % v.y,
                        s % v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator%(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x % v.x,
                        s.x % v.y,
                        s.x % v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator%(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x % v2.x,
                        v1.y % v2.y,
                        v1.z % v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator&(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x & s,
                        v.y & s,
                        v.z & s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator&(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x & s.x,
                        v.y & s.x,
                        v.z & s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator&(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s & v.x,
                        s & v.y,
                        s & v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator&(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x & v.x,
                        s.x & v.y,
                        s.x & v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator&(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x & v2.x,
                        v1.y & v2.y,
                        v1.z & v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator|(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x | s,
                        v.y | s,
                        v.z | s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator|(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x | s.x,
                        v.y | s.x,
                        v.z | s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator|(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s | v.x,
                        s | v.y,
                        s | v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator|(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x | v.x,
                        s.x | v.y,
                        s.x | v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator|(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x | v2.x,
                        v1.y | v2.y,
                        v1.z | v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator^(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x ^ s,
                        v.y ^ s,
                        v.z ^ s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator^(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x ^ s.x,
                        v.y ^ s.x,
                        v.z ^ s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator^(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s ^ v.x,
                        s ^ v.y,
                        s ^ v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator^(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x ^ v.x,
                        s.x ^ v.y,
                        s.x ^ v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator^(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x ^ v2.x,
                        v1.y ^ v2.y,
                        v1.z ^ v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator<<(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x << s,
                        v.y << s,
                        v.z << s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator<<(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x << s.x,
                        v.y << s.x,
                        v.z << s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator<<(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s << v.x,
                        s << v.y,
                        s << v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator<<(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x << v.x,
                        s.x << v.y,
                        s.x << v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator<<(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x << v2.x,
                        v1.y << v2.y,
                        v1.z << v2.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator>>(tvec3<T, P> const & v, T const & s)
        {
                return tvec3<T, P>(
                        v.x >> s,
                        v.y >> s,
                        v.z >> s);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator>>(tvec3<T, P> const & v, tvec1<T, P> const & s)
        {
                return tvec3<T, P>(
                        v.x >> s.x,
                        v.y >> s.x,
                        v.z >> s.x);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator>>(T const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s >> v.x,
                        s >> v.y,
                        s >> v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator>>(tvec1<T, P> const & s, tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        s.x >> v.x,
                        s.x >> v.y,
                        s.x >> v.z);
        }

        template <typename T, precision P>
        GLM_FUNC_QUALIFIER tvec3<T, P> operator>>(tvec3<T, P> const & v1, tvec3<T, P> const & v2)
        {
                return tvec3<T, P>(
                        v1.x >> v2.x,
                        v1.y >> v2.y,
                        v1.z >> v2.z);
        }

        template <typename T, precision P> 
        GLM_FUNC_QUALIFIER tvec3<T, P> operator~(tvec3<T, P> const & v)
        {
                return tvec3<T, P>(
                        ~v.x,
                        ~v.y,
                        ~v.z);
        }
}//namespace glm