Prebuilt Boost for Android
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//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 UUID_384AFF3AD23A11DFA80B754FE0D72085
#define UUID_384AFF3AD23A11DFA80B754FE0D72085
#include <boost/qvm/detail/vec_assign.hpp>
#include <boost/qvm/vec_operations2.hpp>
#include <boost/qvm/vec_operations3.hpp>
#include <boost/qvm/vec_operations4.hpp>
#include <boost/qvm/assert.hpp>
#include <boost/qvm/scalar_traits.hpp>
#include <string>
namespace
boost
{
namespace
qvm
{
namespace
qvm_detail
{
BOOST_QVM_INLINE_CRITICAL
void const *
get_valid_ptr_vec_operations()
{
static int const obj=0;
return &obj;
}
}
////////////////////////////////////////////////
namespace
qvm_to_string_detail
{
template <class T>
std::string to_string( T const & x );
}
namespace
qvm_detail
{
template <int D>
struct
to_string_v_defined
{
static bool const value=false;
};
template <int I,int DimMinusOne>
struct
to_string_vector_elements
{
template <class A>
static
std::string
f( A const & a )
{
using namespace qvm_to_string_detail;
return to_string(vec_traits<A>::template read_element<I>(a))+','+to_string_vector_elements<I+1,DimMinusOne>::f(a);
}
};
template <int DimMinusOne>
struct
to_string_vector_elements<DimMinusOne,DimMinusOne>
{
template <class A>
static
std::string
f( A const & a )
{
using namespace qvm_to_string_detail;
return to_string(vec_traits<A>::template read_element<DimMinusOne>(a));
}
};
}
template <class A>
inline
typename boost::enable_if_c<
is_vec<A>::value &&
!qvm_detail::to_string_v_defined<vec_traits<A>::dim>::value,
std::string>::type
to_string( A const & a )
{
return '('+qvm_detail::to_string_vector_elements<0,vec_traits<A>::dim-1>::f(a)+')';
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
convert_to_v_defined
{
static bool const value=false;
};
}
template <class R,class A>
BOOST_QVM_INLINE_TRIVIAL
typename enable_if_c<
is_vec<R>::value && is_vec<A>::value &&
vec_traits<R>::dim==vec_traits<A>::dim &&
!qvm_detail::convert_to_v_defined<vec_traits<R>::dim>::value,
R>::type
convert_to( A const & a )
{
R r; assign(r,a);
return r;
}
////////////////////////////////////////////////
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==3 && vec_traits<B>::dim==3,
deduce_vec2<A,B,3> >::type
cross( A const & a, B const & b )
{
typedef typename deduce_vec2<A,B,3>::type R;
R r;
vec_traits<R>::template write_element<0>(r)=
vec_traits<A>::template read_element<1>(a)*vec_traits<B>::template read_element<2>(b)-
vec_traits<A>::template read_element<2>(a)*vec_traits<B>::template read_element<1>(b);
vec_traits<R>::template write_element<1>(r)=
vec_traits<A>::template read_element<2>(a)*vec_traits<B>::template read_element<0>(b)-
vec_traits<A>::template read_element<0>(a)*vec_traits<B>::template read_element<2>(b);
vec_traits<R>::template write_element<2>(r)=
vec_traits<A>::template read_element<0>(a)*vec_traits<B>::template read_element<1>(b)-
vec_traits<A>::template read_element<1>(a)*vec_traits<B>::template read_element<0>(b);
return r;
}
////////////////////////////////////////////////
template <class A,class B,class Cmp>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim,
bool>::type
cmp( A const & a, B const & b, Cmp f )
{
typedef typename deduce_scalar<
typename vec_traits<A>::scalar_type,
typename vec_traits<B>::scalar_type>::type T;
int const dim=vec_traits<A>::dim;
T v1[dim]; assign(v1,a);
T v2[dim]; assign(v2,b);
for( int i=0; i!=dim; ++i )
if( !f(v1[i],v2[i]) )
return false;
return true;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <class T,int Dim>
class
zero_vec_
{
zero_vec_( zero_vec_ const & );
zero_vec_ & operator=( zero_vec_ const & );
~zero_vec_();
public:
template <class R>
BOOST_QVM_INLINE_TRIVIAL
operator R() const
{
R r;
assign(r,*this);
return r;
}
};
}
template <class V>
struct vec_traits;
template <class T,int Dim>
struct
vec_traits< qvm_detail::zero_vec_<T,Dim> >
{
typedef qvm_detail::zero_vec_<T,Dim> this_vector;
typedef T scalar_type;
static int const dim=Dim;
template <int I>
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element( this_vector const & )
{
BOOST_QVM_STATIC_ASSERT(I>=0);
BOOST_QVM_STATIC_ASSERT(I<Dim);
return scalar_traits<scalar_type>::value(0);
}
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element_idx( int i, this_vector const & )
{
BOOST_QVM_ASSERT(i>=0);
BOOST_QVM_ASSERT(i<Dim);
return scalar_traits<scalar_type>::value(0);
}
};
template <class T,int Dim,int D>
struct
deduce_vec<qvm_detail::zero_vec_<T,Dim>,D>
{
typedef vec<T,D> type;
};
template <class T,int Dim>
BOOST_QVM_INLINE_TRIVIAL
qvm_detail::zero_vec_<T,Dim> const &
zero_vec()
{
return *(qvm_detail::zero_vec_<T,Dim> const *)qvm_detail::get_valid_ptr_vec_operations();
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value,
void>::type
set_zero( A & a )
{
assign(a,zero_vec<typename vec_traits<A>::scalar_type,vec_traits<A>::dim>());
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <class OriginalType,class Scalar>
class
vector_scalar_cast_
{
vector_scalar_cast_( vector_scalar_cast_ const & );
vector_scalar_cast_ & operator=( vector_scalar_cast_ const & );
~vector_scalar_cast_();
public:
template <class T>
BOOST_QVM_INLINE_TRIVIAL
vector_scalar_cast_ &
operator=( T const & x )
{
assign(*this,x);
return *this;
}
template <class R>
BOOST_QVM_INLINE_TRIVIAL
operator R() const
{
R r;
assign(r,*this);
return r;
}
};
template <bool> struct scalar_cast_vector_filter { };
template <> struct scalar_cast_vector_filter<true> { typedef int type; };
}
template <class OriginalType,class Scalar>
struct
vec_traits< qvm_detail::vector_scalar_cast_<OriginalType,Scalar> >
{
typedef Scalar scalar_type;
typedef qvm_detail::vector_scalar_cast_<OriginalType,Scalar> this_vector;
static int const dim=vec_traits<OriginalType>::dim;
template <int I>
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element( this_vector const & x )
{
BOOST_QVM_STATIC_ASSERT(I>=0);
BOOST_QVM_STATIC_ASSERT(I<dim);
return scalar_type(vec_traits<OriginalType>::template read_element<I>(reinterpret_cast<OriginalType const &>(x)));
}
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element_idx( int i, this_vector const & x )
{
BOOST_QVM_ASSERT(i>=0);
BOOST_QVM_ASSERT(i<dim);
return scalar_type(vec_traits<OriginalType>::read_element_idx(i,reinterpret_cast<OriginalType const &>(x)));
}
};
template <class OriginalType,class Scalar,int D>
struct
deduce_vec<qvm_detail::vector_scalar_cast_<OriginalType,Scalar>,D>
{
typedef vec<Scalar,D> type;
};
template <class Scalar,class T>
BOOST_QVM_INLINE_TRIVIAL
qvm_detail::vector_scalar_cast_<T,Scalar> const &
scalar_cast( T const & x, typename qvm_detail::scalar_cast_vector_filter<is_vec<T>::value>::type=0 )
{
return reinterpret_cast<qvm_detail::vector_scalar_cast_<T,Scalar> const &>(x);
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
div_eq_vs_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_scalar<B>::value &&
!qvm_detail::div_eq_vs_defined<vec_traits<A>::dim>::value,
A &>::type
operator/=( A & a, B b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<A>::write_element_idx(i,a)/=b;
return a;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
div_vs_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_scalar<B>::value &&
!qvm_detail::div_vs_defined<vec_traits<A>::dim>::value,
deduce_vec<A> >::type
operator/( A const & a, B b )
{
typedef typename deduce_vec<A>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=vec_traits<A>::read_element_idx(i,a)/b;
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
dot_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::dot_vv_defined<vec_traits<A>::dim>::value,
deduce_scalar<typename vec_traits<A>::scalar_type,typename vec_traits<B>::scalar_type> >::type
dot( A const & a, B const & b )
{
typedef typename deduce_scalar<typename vec_traits<A>::scalar_type,typename vec_traits<B>::scalar_type>::type T;
T m(scalar_traits<T>::value(0));
for( int i=0; i!=vec_traits<A>::dim; ++i )
m+=vec_traits<A>::read_element_idx(i,a)*vec_traits<B>::read_element_idx(i,b);
return m;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
eq_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::eq_vv_defined<vec_traits<A>::dim>::value,
bool>::type
operator==( A const & a, B const & b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
if( vec_traits<A>::read_element_idx(i,a)!=vec_traits<B>::read_element_idx(i,b) )
return false;
return true;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
mag_sqr_v_defined
{
static bool const value=false;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value &&
!qvm_detail::mag_sqr_v_defined<vec_traits<A>::dim>::value,
typename vec_traits<A>::scalar_type>::type
mag_sqr( A const & a )
{
typedef typename vec_traits<A>::scalar_type T;
T m(scalar_traits<T>::value(0));
for( int i=0; i!=vec_traits<A>::dim; ++i )
{
T x=vec_traits<A>::read_element_idx(i,a);
m+=x*x;
}
return m;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
mag_v_defined
{
static bool const value=false;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value &&
!qvm_detail::mag_v_defined<vec_traits<A>::dim>::value,
typename vec_traits<A>::scalar_type>::type
mag( A const & a )
{
typedef typename vec_traits<A>::scalar_type T;
T m(scalar_traits<T>::value(0));
for( int i=0; i!=vec_traits<A>::dim; ++i )
{
T x=vec_traits<A>::read_element_idx(i,a);
m+=x*x;
}
return sqrt<T>(m);
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
minus_eq_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::minus_eq_vv_defined<vec_traits<A>::dim>::value,
A &>::type
operator-=( A & a, B const & b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<A>::write_element_idx(i,a)-=vec_traits<B>::read_element_idx(i,b);
return a;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
minus_v_defined
{
static bool const value=false;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value &&
!qvm_detail::minus_v_defined<vec_traits<A>::dim>::value,
deduce_vec<A> >::type
operator-( A const & a )
{
typedef typename deduce_vec<A>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=-vec_traits<A>::read_element_idx(i,a);
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
minus_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::minus_vv_defined<vec_traits<A>::dim>::value,
deduce_vec2<A,B,vec_traits<A>::dim> >::type
operator-( A const & a, B const & b )
{
typedef typename deduce_vec2<A,B,vec_traits<A>::dim>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=vec_traits<A>::read_element_idx(i,a)-vec_traits<B>::read_element_idx(i,b);
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
mul_eq_vs_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_scalar<B>::value &&
!qvm_detail::mul_eq_vs_defined<vec_traits<A>::dim>::value,
A &>::type
operator*=( A & a, B b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<A>::write_element_idx(i,a)*=b;
return a;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
mul_vs_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_scalar<B>::value &&
!qvm_detail::mul_vs_defined<vec_traits<A>::dim>::value,
deduce_vec<A> >::type
operator*( A const & a, B b )
{
typedef typename deduce_vec<A>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=vec_traits<A>::read_element_idx(i,a)*b;
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
mul_sv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && is_vec<B>::value &&
!qvm_detail::mul_sv_defined<vec_traits<B>::dim>::value,
deduce_vec<B> >::type
operator*( A a, B const & b )
{
typedef typename deduce_vec<B>::type R;
R r;
for( int i=0; i!=vec_traits<B>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=a*vec_traits<B>::read_element_idx(i,b);
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
neq_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::neq_vv_defined<vec_traits<A>::dim>::value,
bool>::type
operator!=( A const & a, B const & b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
if( vec_traits<A>::read_element_idx(i,a)!=vec_traits<B>::read_element_idx(i,b) )
return true;
return false;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
normalize_v_defined
{
static bool const value=false;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value &&
!qvm_detail::normalize_v_defined<vec_traits<A>::dim>::value,
deduce_vec<A> >::type
normalized( A const & a )
{
typedef typename vec_traits<A>::scalar_type T;
T m(scalar_traits<T>::value(0));
for( int i=0; i!=vec_traits<A>::dim; ++i )
{
T x=vec_traits<A>::read_element_idx(i,a);
m+=x*x;
}
if( m==scalar_traits<T>::value(0) )
BOOST_QVM_THROW_EXCEPTION(zero_magnitude_error());
T rm=scalar_traits<T>::value(1)/sqrt<T>(m);
typedef typename deduce_vec<A>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=vec_traits<A>::read_element_idx(i,a)*rm;
return r;
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value &&
!qvm_detail::normalize_v_defined<vec_traits<A>::dim>::value,
void>::type
normalize( A & a )
{
typedef typename vec_traits<A>::scalar_type T;
T m(scalar_traits<T>::value(0));
for( int i=0; i!=vec_traits<A>::dim; ++i )
{
T x=vec_traits<A>::read_element_idx(i,a);
m+=x*x;
}
if( m==scalar_traits<T>::value(0) )
BOOST_QVM_THROW_EXCEPTION(zero_magnitude_error());
T rm=scalar_traits<T>::value(1)/sqrt<T>(m);
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<A>::write_element_idx(i,a)*=rm;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
plus_eq_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::plus_eq_vv_defined<vec_traits<A>::dim>::value,
A &>::type
operator+=( A & a, B const & b )
{
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<A>::write_element_idx(i,a)+=vec_traits<B>::read_element_idx(i,b);
return a;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <int D>
struct
plus_vv_defined
{
static bool const value=false;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_vec<A>::value && is_vec<B>::value &&
vec_traits<A>::dim==vec_traits<B>::dim &&
!qvm_detail::plus_vv_defined<vec_traits<A>::dim>::value,
deduce_vec2<A,B,vec_traits<A>::dim> >::type
operator+( A const & a, B const & b )
{
typedef typename deduce_vec2<A,B,vec_traits<A>::dim>::type R;
R r;
for( int i=0; i!=vec_traits<A>::dim; ++i )
vec_traits<R>::write_element_idx(i,r)=vec_traits<A>::read_element_idx(i,a)+vec_traits<B>::read_element_idx(i,b);
return r;
}
////////////////////////////////////////////////
namespace
qvm_detail
{
template <class T>
class
vref_
{
vref_( vref_ const & );
vref_ & operator=( vref_ const & );
~vref_();
public:
template <class R>
BOOST_QVM_INLINE_TRIVIAL
vref_ &
operator=( R const & x )
{
assign(*this,x);
return *this;
}
template <class R>
BOOST_QVM_INLINE_TRIVIAL
operator R() const
{
R r;
assign(r,*this);
return r;
}
};
}
template <class V>
struct
vec_traits< qvm_detail::vref_<V> >
{
typedef typename vec_traits<V>::scalar_type scalar_type;
typedef qvm_detail::vref_<V> this_vector;
static int const dim=vec_traits<V>::dim;
template <int I>
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element( this_vector const & x )
{
BOOST_QVM_STATIC_ASSERT(I>=0);
BOOST_QVM_STATIC_ASSERT(I<dim);
return vec_traits<V>::template read_element<I>(reinterpret_cast<V const &>(x));
}
template <int I>
static
BOOST_QVM_INLINE_CRITICAL
scalar_type &
write_element( this_vector & x )
{
BOOST_QVM_STATIC_ASSERT(I>=0);
BOOST_QVM_STATIC_ASSERT(I<dim);
return vec_traits<V>::template write_element<I>(reinterpret_cast<V &>(x));
}
static
BOOST_QVM_INLINE_CRITICAL
scalar_type
read_element_idx( int i, this_vector const & x )
{
BOOST_QVM_ASSERT(i>=0);
BOOST_QVM_ASSERT(i<dim);
return vec_traits<V>::read_element_idx(i,reinterpret_cast<V const &>(x));
}
static
BOOST_QVM_INLINE_CRITICAL
scalar_type &
write_element_idx( int i, this_vector & x )
{
BOOST_QVM_ASSERT(i>=0);
BOOST_QVM_ASSERT(i<dim);
return vec_traits<V>::write_element_idx(i,reinterpret_cast<V &>(x));
}
};
template <class V,int D>
struct
deduce_vec<qvm_detail::vref_<V>,D>
{
typedef vec<typename vec_traits<V>::scalar_type,D> type;
};
template <class V>
BOOST_QVM_INLINE_TRIVIAL
typename enable_if_c<
is_vec<V>::value,
qvm_detail::vref_<V> const &>::type
vref( V const & a )
{
return reinterpret_cast<qvm_detail::vref_<V> const &>(a);
}
template <class V>
BOOST_QVM_INLINE_TRIVIAL
typename enable_if_c<
is_vec<V>::value,
qvm_detail::vref_<V> &>::type
vref( V & a )
{
return reinterpret_cast<qvm_detail::vref_<V> &>(a);
}
////////////////////////////////////////////////
namespace
sfinae
{
using ::boost::qvm::to_string;
using ::boost::qvm::assign;
using ::boost::qvm::convert_to;
using ::boost::qvm::cross;
using ::boost::qvm::cmp;
using ::boost::qvm::set_zero;
using ::boost::qvm::scalar_cast;
using ::boost::qvm::operator/=;
using ::boost::qvm::operator/;
using ::boost::qvm::dot;
using ::boost::qvm::operator==;
using ::boost::qvm::mag_sqr;
using ::boost::qvm::mag;
using ::boost::qvm::operator-=;
using ::boost::qvm::operator-;
using ::boost::qvm::operator*=;
using ::boost::qvm::operator*;
using ::boost::qvm::operator!=;
using ::boost::qvm::normalized;
using ::boost::qvm::normalize;
using ::boost::qvm::operator+=;
using ::boost::qvm::operator+;
using ::boost::qvm::vref;
}
////////////////////////////////////////////////
}
}
#endif