//Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc.

//Distributed under the Boost Software License, Version 1.0. (See accompanying
//file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)

#ifndef BOOST_QVM_209A50EE407836FD124932F69E7D49DC
#define BOOST_QVM_209A50EE407836FD124932F69E7D49DC

//This file was generated by a program. Do not edit manually.

#include <boost/qvm/deduce_scalar.hpp>
#include <boost/qvm/deduce_vec.hpp>
#include <boost/qvm/enable_if.hpp>
#include <boost/qvm/error.hpp>
#include <boost/qvm/inline.hpp>
#include <boost/qvm/math.hpp>
#include <boost/qvm/static_assert.hpp>
#include <boost/qvm/throw_exception.hpp>
#include <boost/qvm/vec_traits.hpp>

namespace
boost
    {
    namespace
    qvm
        {
        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            deduce_vec2<A,B,3> >::type
        operator+( A const & a, B const & b )
            {
            typedef typename deduce_vec2<A,B,3>::type R;
            BOOST_QVM_STATIC_ASSERT(vec_traits<R>::dim==3);
            R r;
            vec_traits<R>::template write_element<0>(r)=vec_traits<A>::template read_element<0>(a)+vec_traits<B>::template read_element<0>(b);
            vec_traits<R>::template write_element<1>(r)=vec_traits<A>::template read_element<1>(a)+vec_traits<B>::template read_element<1>(b);
            vec_traits<R>::template write_element<2>(r)=vec_traits<A>::template read_element<2>(a)+vec_traits<B>::template read_element<2>(b);
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator+;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct plus_vv_defined;

            template <>
            struct
            plus_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            deduce_vec2<A,B,3> >::type
        operator-( A const & a, B const & b )
            {
            typedef typename deduce_vec2<A,B,3>::type R;
            BOOST_QVM_STATIC_ASSERT(vec_traits<R>::dim==3);
            R r;
            vec_traits<R>::template write_element<0>(r)=vec_traits<A>::template read_element<0>(a)-vec_traits<B>::template read_element<0>(b);
            vec_traits<R>::template write_element<1>(r)=vec_traits<A>::template read_element<1>(a)-vec_traits<B>::template read_element<1>(b);
            vec_traits<R>::template write_element<2>(r)=vec_traits<A>::template read_element<2>(a)-vec_traits<B>::template read_element<2>(b);
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator-;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct minus_vv_defined;

            template <>
            struct
            minus_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            A &>::type
        operator+=( A & a, B const & b )
            {
            vec_traits<A>::template write_element<0>(a)+=vec_traits<B>::template read_element<0>(b);
            vec_traits<A>::template write_element<1>(a)+=vec_traits<B>::template read_element<1>(b);
            vec_traits<A>::template write_element<2>(a)+=vec_traits<B>::template read_element<2>(b);
            return a;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator+=;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct plus_eq_vv_defined;

            template <>
            struct
            plus_eq_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            A &>::type
        operator-=( A & a, B const & b )
            {
            vec_traits<A>::template write_element<0>(a)-=vec_traits<B>::template read_element<0>(b);
            vec_traits<A>::template write_element<1>(a)-=vec_traits<B>::template read_element<1>(b);
            vec_traits<A>::template write_element<2>(a)-=vec_traits<B>::template read_element<2>(b);
            return a;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator-=;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct minus_eq_vv_defined;

            template <>
            struct
            minus_eq_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3 && is_scalar<B>::value,
            deduce_vec<A> >::type
        operator*( A const & a, B b )
            {
            typedef typename deduce_vec<A>::type R;
            R r;
            vec_traits<R>::template write_element<0>(r)=vec_traits<A>::template read_element<0>(a)*b;
            vec_traits<R>::template write_element<1>(r)=vec_traits<A>::template read_element<1>(a)*b;
            vec_traits<R>::template write_element<2>(r)=vec_traits<A>::template read_element<2>(a)*b;
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator*;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct mul_vs_defined;

            template <>
            struct
            mul_vs_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class  B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && is_scalar<B>::value,
            A &>::type
        operator*=( A & a, B b )
            {
            vec_traits<A>::template write_element<0>(a)*=b;
            vec_traits<A>::template write_element<1>(a)*=b;
            vec_traits<A>::template write_element<2>(a)*=b;
            return a;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator*=;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct mul_eq_vs_defined;

            template <>
            struct
            mul_eq_vs_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3 && is_scalar<B>::value,
            deduce_vec<A> >::type
        operator/( A const & a, B b )
            {
            typedef typename deduce_vec<A>::type R;
            R r;
            vec_traits<R>::template write_element<0>(r)=vec_traits<A>::template read_element<0>(a)/b;
            vec_traits<R>::template write_element<1>(r)=vec_traits<A>::template read_element<1>(a)/b;
            vec_traits<R>::template write_element<2>(r)=vec_traits<A>::template read_element<2>(a)/b;
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator/;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct div_vs_defined;

            template <>
            struct
            div_vs_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class  B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && is_scalar<B>::value,
            A &>::type
        operator/=( A & a, B b )
            {
            vec_traits<A>::template write_element<0>(a)/=b;
            vec_traits<A>::template write_element<1>(a)/=b;
            vec_traits<A>::template write_element<2>(a)/=b;
            return a;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator/=;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct div_eq_vs_defined;

            template <>
            struct
            div_eq_vs_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            A &>::type
        assign( A & a, B const & b )
            {
            vec_traits<A>::template write_element<0>(a)=vec_traits<B>::template read_element<0>(b);
            vec_traits<A>::template write_element<1>(a)=vec_traits<B>::template read_element<1>(b);
            vec_traits<A>::template write_element<2>(a)=vec_traits<B>::template read_element<2>(b);
            return a;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::assign;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct assign_vv_defined;

            template <>
            struct
            assign_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class R,class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            is_vec<A>::value &&
            vec_traits<R>::dim==3 && vec_traits<A>::dim==3,
            R>::type
        convert_to( A const & a )
            {
            R r;
            vec_traits<R>::template write_element<0>(r)=vec_traits<A>::template read_element<0>(a);
            vec_traits<R>::template write_element<1>(r)=vec_traits<A>::template read_element<1>(a);
            vec_traits<R>::template write_element<2>(r)=vec_traits<A>::template read_element<2>(a);
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::convert_to;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct convert_to_v_defined;

            template <>
            struct
            convert_to_v_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
        bool>::type
        operator==( A const & a, B const & b )
            {
            return
                vec_traits<A>::template read_element<0>(a)==vec_traits<B>::template read_element<0>(b) &&
                vec_traits<A>::template read_element<1>(a)==vec_traits<B>::template read_element<1>(b) &&
                vec_traits<A>::template read_element<2>(a)==vec_traits<B>::template read_element<2>(b);
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator==;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct eq_vv_defined;

            template <>
            struct
            eq_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
        bool>::type
        operator!=( A const & a, B const & b )
            {
            return
                !(vec_traits<A>::template read_element<0>(a)==vec_traits<B>::template read_element<0>(b)) ||
                !(vec_traits<A>::template read_element<1>(a)==vec_traits<B>::template read_element<1>(b)) ||
                !(vec_traits<A>::template read_element<2>(a)==vec_traits<B>::template read_element<2>(b));
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator!=;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct neq_vv_defined;

            template <>
            struct
            neq_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3,
            deduce_vec<A> >::type
        operator-( A const & a )
            {
            typedef typename deduce_vec<A>::type R;
            R r;
            vec_traits<R>::template write_element<0>(r)=-vec_traits<A>::template read_element<0>(a);
            vec_traits<R>::template write_element<1>(r)=-vec_traits<A>::template read_element<1>(a);
            vec_traits<R>::template write_element<2>(r)=-vec_traits<A>::template read_element<2>(a);
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::operator-;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct minus_v_defined;

            template <>
            struct
            minus_v_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            is_vec<A>::value && vec_traits<A>::dim==3,
            typename vec_traits<A>::scalar_type>::type
        mag( A const & a )
            {
            typedef typename vec_traits<A>::scalar_type T;
            T const a0=vec_traits<A>::template read_element<0>(a);
            T const a1=vec_traits<A>::template read_element<1>(a);
            T const a2=vec_traits<A>::template read_element<2>(a);
            T const m2=a0*a0+a1*a1+a2*a2;
            T const mag=sqrt<T>(m2);
            return mag;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::mag;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct mag_v_defined;

            template <>
            struct
            mag_v_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            is_vec<A>::value && vec_traits<A>::dim==3,
            typename vec_traits<A>::scalar_type>::type
        mag_sqr( A const & a )
            {
            typedef typename vec_traits<A>::scalar_type T;
            T const a0=vec_traits<A>::template read_element<0>(a);
            T const a1=vec_traits<A>::template read_element<1>(a);
            T const a2=vec_traits<A>::template read_element<2>(a);
            T const m2=a0*a0+a1*a1+a2*a2;
            return m2;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::mag_sqr;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct mag_sqr_v_defined;

            template <>
            struct
            mag_sqr_v_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3,
            deduce_vec<A> >::type
        normalized( A const & a )
            {
            typedef typename vec_traits<A>::scalar_type T;
            T const a0=vec_traits<A>::template read_element<0>(a);
            T const a1=vec_traits<A>::template read_element<1>(a);
            T const a2=vec_traits<A>::template read_element<2>(a);
            T const m2=a0*a0+a1*a1+a2*a2;
            if( m2==scalar_traits<typename vec_traits<A>::scalar_type>::value(0) )
                BOOST_QVM_THROW_EXCEPTION(zero_magnitude_error());
            T const rm=scalar_traits<T>::value(1)/sqrt<T>(m2);
            typedef typename deduce_vec<A>::type R;
            R r;
            vec_traits<R>::template write_element<0>(r)=a0*rm;
            vec_traits<R>::template write_element<1>(r)=a1*rm;
            vec_traits<R>::template write_element<2>(r)=a2*rm;
            return r;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::normalized;
            }

        template <class A>
        BOOST_QVM_INLINE_OPERATIONS
        typename enable_if_c<
            vec_traits<A>::dim==3,
            void>::type
        normalize( A & a )
            {
            typedef typename vec_traits<A>::scalar_type T;
            T const a0=vec_traits<A>::template read_element<0>(a);
            T const a1=vec_traits<A>::template read_element<1>(a);
            T const a2=vec_traits<A>::template read_element<2>(a);
            T const m2=a0*a0+a1*a1+a2*a2;
            if( m2==scalar_traits<typename vec_traits<A>::scalar_type>::value(0) )
                BOOST_QVM_THROW_EXCEPTION(zero_magnitude_error());
            T const rm=scalar_traits<T>::value(1)/sqrt<T>(m2);
            vec_traits<A>::template write_element<0>(a)*=rm;
            vec_traits<A>::template write_element<1>(a)*=rm;
            vec_traits<A>::template write_element<2>(a)*=rm;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::normalize;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct normalize_v_defined;

            template <>
            struct
            normalize_v_defined<3>
                {
                static bool const value=true;
                };
            }

        template <class A,class B>
        BOOST_QVM_INLINE_OPERATIONS
        typename lazy_enable_if_c<
            vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
            deduce_scalar<typename vec_traits<A>::scalar_type,typename vec_traits<B>::scalar_type> >::type
        dot( A const & a, B const & b )
            {
            typedef typename vec_traits<A>::scalar_type Ta;
            typedef typename vec_traits<B>::scalar_type Tb;
            typedef typename deduce_scalar<Ta,Tb>::type Tr;
            Ta const a0=vec_traits<A>::template read_element<0>(a);
            Ta const a1=vec_traits<A>::template read_element<1>(a);
            Ta const a2=vec_traits<A>::template read_element<2>(a);
            Tb const b0=vec_traits<B>::template read_element<0>(b);
            Tb const b1=vec_traits<B>::template read_element<1>(b);
            Tb const b2=vec_traits<B>::template read_element<2>(b);
            Tr const dot=a0*b0+a1*b1+a2*b2;
            return dot;
            }

        namespace
        sfinae
            {
            using ::boost::qvm::dot;
            }

        namespace
        qvm_detail
            {
            template <int D>
            struct dot_vv_defined;

            template <>
            struct
            dot_vv_defined<3>
                {
                static bool const value=true;
                };
            }

        }
    }

#endif