//Copyright (c) 2008-2017 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_B3A6DB3C87C3E99245ED1C6B747DE
#define BOOST_QVM_B3A6DB3C87C3E99245ED1C6B747DE
//This file was generated by a program. Do not edit manually.
#include <boost/qvm/assert.hpp>
#include <boost/qvm/deduce_mat.hpp>
#include <boost/qvm/deduce_vec.hpp>
#include <boost/qvm/error.hpp>
#include <boost/qvm/gen/mat_assign3.hpp>
#include <boost/qvm/quat_traits.hpp>
#include <boost/qvm/scalar_traits.hpp>
#include <boost/qvm/throw_exception.hpp>
namespace
boost
{
namespace
qvm
{
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,3,3> >::type
operator+( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,3,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)+mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)+mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)+mat_traits<B>::template read_element<0,2>(b);
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)+mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<1,1>(r)=mat_traits<A>::template read_element<1,1>(a)+mat_traits<B>::template read_element<1,1>(b);
mat_traits<R>::template write_element<1,2>(r)=mat_traits<A>::template read_element<1,2>(a)+mat_traits<B>::template read_element<1,2>(b);
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)+mat_traits<B>::template read_element<2,0>(b);
mat_traits<R>::template write_element<2,1>(r)=mat_traits<A>::template read_element<2,1>(a)+mat_traits<B>::template read_element<2,1>(b);
mat_traits<R>::template write_element<2,2>(r)=mat_traits<A>::template read_element<2,2>(a)+mat_traits<B>::template read_element<2,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator+;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_mm_defined;
template <>
struct
plus_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
deduce_mat2<A,B,3,1> >::type
operator+( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,3,1>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==1);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)+mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)+mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)+mat_traits<B>::template read_element<2,0>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator+;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_mm_defined;
template <>
struct
plus_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,1,3> >::type
operator+( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,1,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==1);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)+mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)+mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)+mat_traits<B>::template read_element<0,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator+;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_mm_defined;
template <>
struct
plus_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,3,3> >::type
operator-( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,3,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)-mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)-mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)-mat_traits<B>::template read_element<0,2>(b);
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)-mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<1,1>(r)=mat_traits<A>::template read_element<1,1>(a)-mat_traits<B>::template read_element<1,1>(b);
mat_traits<R>::template write_element<1,2>(r)=mat_traits<A>::template read_element<1,2>(a)-mat_traits<B>::template read_element<1,2>(b);
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)-mat_traits<B>::template read_element<2,0>(b);
mat_traits<R>::template write_element<2,1>(r)=mat_traits<A>::template read_element<2,1>(a)-mat_traits<B>::template read_element<2,1>(b);
mat_traits<R>::template write_element<2,2>(r)=mat_traits<A>::template read_element<2,2>(a)-mat_traits<B>::template read_element<2,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_mm_defined;
template <>
struct
minus_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
deduce_mat2<A,B,3,1> >::type
operator-( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,3,1>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==1);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)-mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)-mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)-mat_traits<B>::template read_element<2,0>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_mm_defined;
template <>
struct
minus_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,1,3> >::type
operator-( A const & a, B const & b )
{
typedef typename deduce_mat2<A,B,1,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==1);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)-mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)-mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)-mat_traits<B>::template read_element<0,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_mm_defined;
template <>
struct
minus_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
A &>::type
operator+=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)+=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<0,1>(a)+=mat_traits<B>::template read_element<0,1>(b);
mat_traits<A>::template write_element<0,2>(a)+=mat_traits<B>::template read_element<0,2>(b);
mat_traits<A>::template write_element<1,0>(a)+=mat_traits<B>::template read_element<1,0>(b);
mat_traits<A>::template write_element<1,1>(a)+=mat_traits<B>::template read_element<1,1>(b);
mat_traits<A>::template write_element<1,2>(a)+=mat_traits<B>::template read_element<1,2>(b);
mat_traits<A>::template write_element<2,0>(a)+=mat_traits<B>::template read_element<2,0>(b);
mat_traits<A>::template write_element<2,1>(a)+=mat_traits<B>::template read_element<2,1>(b);
mat_traits<A>::template write_element<2,2>(a)+=mat_traits<B>::template read_element<2,2>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator+=;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_eq_mm_defined;
template <>
struct
plus_eq_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
A &>::type
operator+=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)+=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<1,0>(a)+=mat_traits<B>::template read_element<1,0>(b);
mat_traits<A>::template write_element<2,0>(a)+=mat_traits<B>::template read_element<2,0>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator+=;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_eq_mm_defined;
template <>
struct
plus_eq_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
A &>::type
operator+=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)+=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<0,1>(a)+=mat_traits<B>::template read_element<0,1>(b);
mat_traits<A>::template write_element<0,2>(a)+=mat_traits<B>::template read_element<0,2>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator+=;
}
namespace
qvm_detail
{
template <int R,int C>
struct plus_eq_mm_defined;
template <>
struct
plus_eq_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
A &>::type
operator-=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)-=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<0,1>(a)-=mat_traits<B>::template read_element<0,1>(b);
mat_traits<A>::template write_element<0,2>(a)-=mat_traits<B>::template read_element<0,2>(b);
mat_traits<A>::template write_element<1,0>(a)-=mat_traits<B>::template read_element<1,0>(b);
mat_traits<A>::template write_element<1,1>(a)-=mat_traits<B>::template read_element<1,1>(b);
mat_traits<A>::template write_element<1,2>(a)-=mat_traits<B>::template read_element<1,2>(b);
mat_traits<A>::template write_element<2,0>(a)-=mat_traits<B>::template read_element<2,0>(b);
mat_traits<A>::template write_element<2,1>(a)-=mat_traits<B>::template read_element<2,1>(b);
mat_traits<A>::template write_element<2,2>(a)-=mat_traits<B>::template read_element<2,2>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator-=;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_eq_mm_defined;
template <>
struct
minus_eq_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
A &>::type
operator-=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)-=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<1,0>(a)-=mat_traits<B>::template read_element<1,0>(b);
mat_traits<A>::template write_element<2,0>(a)-=mat_traits<B>::template read_element<2,0>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator-=;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_eq_mm_defined;
template <>
struct
minus_eq_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
A &>::type
operator-=( A & a, B const & b )
{
mat_traits<A>::template write_element<0,0>(a)-=mat_traits<B>::template read_element<0,0>(b);
mat_traits<A>::template write_element<0,1>(a)-=mat_traits<B>::template read_element<0,1>(b);
mat_traits<A>::template write_element<0,2>(a)-=mat_traits<B>::template read_element<0,2>(b);
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator-=;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_eq_mm_defined;
template <>
struct
minus_eq_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3 && is_scalar<B>::value,
deduce_mat<A> >::type
operator*( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)*b;
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)*b;
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)*b;
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)*b;
mat_traits<R>::template write_element<1,1>(r)=mat_traits<A>::template read_element<1,1>(a)*b;
mat_traits<R>::template write_element<1,2>(r)=mat_traits<A>::template read_element<1,2>(a)*b;
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)*b;
mat_traits<R>::template write_element<2,1>(r)=mat_traits<A>::template read_element<2,1>(a)*b;
mat_traits<R>::template write_element<2,2>(r)=mat_traits<A>::template read_element<2,2>(a)*b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_ms_defined;
template <>
struct
mul_ms_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && mat_traits<B>::rows==3 && mat_traits<B>::cols==3,
deduce_mat<B> >::type
operator*( A a, B const & b )
{
typedef typename deduce_mat<B>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=a*mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=a*mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=a*mat_traits<B>::template read_element<0,2>(b);
mat_traits<R>::template write_element<1,0>(r)=a*mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<1,1>(r)=a*mat_traits<B>::template read_element<1,1>(b);
mat_traits<R>::template write_element<1,2>(r)=a*mat_traits<B>::template read_element<1,2>(b);
mat_traits<R>::template write_element<2,0>(r)=a*mat_traits<B>::template read_element<2,0>(b);
mat_traits<R>::template write_element<2,1>(r)=a*mat_traits<B>::template read_element<2,1>(b);
mat_traits<R>::template write_element<2,2>(r)=a*mat_traits<B>::template read_element<2,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_sm_defined;
template <>
struct
mul_sm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==1 && is_scalar<B>::value,
deduce_mat<A> >::type
operator*( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)*b;
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)*b;
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)*b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_ms_defined;
template <>
struct
mul_ms_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && mat_traits<B>::rows==3 && mat_traits<B>::cols==1,
deduce_mat<B> >::type
operator*( A a, B const & b )
{
typedef typename deduce_mat<B>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=a*mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<1,0>(r)=a*mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<2,0>(r)=a*mat_traits<B>::template read_element<2,0>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_sm_defined;
template <>
struct
mul_sm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<A>::cols==3 && is_scalar<B>::value,
deduce_mat<A> >::type
operator*( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)*b;
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)*b;
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)*b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_ms_defined;
template <>
struct
mul_ms_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && mat_traits<B>::rows==1 && mat_traits<B>::cols==3,
deduce_mat<B> >::type
operator*( A a, B const & b )
{
typedef typename deduce_mat<B>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=a*mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=a*mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=a*mat_traits<B>::template read_element<0,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_sm_defined;
template <>
struct
mul_sm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3 && is_scalar<B>::value,
A &>::type
operator*=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)*=b;
mat_traits<A>::template write_element<0,1>(a)*=b;
mat_traits<A>::template write_element<0,2>(a)*=b;
mat_traits<A>::template write_element<1,0>(a)*=b;
mat_traits<A>::template write_element<1,1>(a)*=b;
mat_traits<A>::template write_element<1,2>(a)*=b;
mat_traits<A>::template write_element<2,0>(a)*=b;
mat_traits<A>::template write_element<2,1>(a)*=b;
mat_traits<A>::template write_element<2,2>(a)*=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator*=;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_eq_ms_defined;
template <>
struct
mul_eq_ms_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==1 && is_scalar<B>::value,
A &>::type
operator*=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)*=b;
mat_traits<A>::template write_element<1,0>(a)*=b;
mat_traits<A>::template write_element<2,0>(a)*=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator*=;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_eq_ms_defined;
template <>
struct
mul_eq_ms_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<A>::cols==3 && is_scalar<B>::value,
A &>::type
operator*=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)*=b;
mat_traits<A>::template write_element<0,1>(a)*=b;
mat_traits<A>::template write_element<0,2>(a)*=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator*=;
}
namespace
qvm_detail
{
template <int R,int C>
struct mul_eq_ms_defined;
template <>
struct
mul_eq_ms_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3 && is_scalar<B>::value,
deduce_mat<A> >::type
operator/( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)/b;
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)/b;
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)/b;
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)/b;
mat_traits<R>::template write_element<1,1>(r)=mat_traits<A>::template read_element<1,1>(a)/b;
mat_traits<R>::template write_element<1,2>(r)=mat_traits<A>::template read_element<1,2>(a)/b;
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)/b;
mat_traits<R>::template write_element<2,1>(r)=mat_traits<A>::template read_element<2,1>(a)/b;
mat_traits<R>::template write_element<2,2>(r)=mat_traits<A>::template read_element<2,2>(a)/b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator/;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_ms_defined;
template <>
struct
div_ms_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && mat_traits<B>::rows==3 && mat_traits<B>::cols==3,
deduce_mat<B> >::type
operator/( A a, B const & b )
{
typedef typename deduce_mat<B>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=a/mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<0,1>(r)=a/mat_traits<B>::template read_element<0,1>(b);
mat_traits<R>::template write_element<0,2>(r)=a/mat_traits<B>::template read_element<0,2>(b);
mat_traits<R>::template write_element<1,0>(r)=a/mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<1,1>(r)=a/mat_traits<B>::template read_element<1,1>(b);
mat_traits<R>::template write_element<1,2>(r)=a/mat_traits<B>::template read_element<1,2>(b);
mat_traits<R>::template write_element<2,0>(r)=a/mat_traits<B>::template read_element<2,0>(b);
mat_traits<R>::template write_element<2,1>(r)=a/mat_traits<B>::template read_element<2,1>(b);
mat_traits<R>::template write_element<2,2>(r)=a/mat_traits<B>::template read_element<2,2>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator/;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_sm_defined;
template <>
struct
div_sm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==1 && is_scalar<B>::value,
deduce_mat<A> >::type
operator/( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)/b;
mat_traits<R>::template write_element<1,0>(r)=mat_traits<A>::template read_element<1,0>(a)/b;
mat_traits<R>::template write_element<2,0>(r)=mat_traits<A>::template read_element<2,0>(a)/b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator/;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_ms_defined;
template <>
struct
div_ms_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
is_scalar<A>::value && mat_traits<B>::rows==3 && mat_traits<B>::cols==1,
deduce_mat<B> >::type
operator/( A a, B const & b )
{
typedef typename deduce_mat<B>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=a/mat_traits<B>::template read_element<0,0>(b);
mat_traits<R>::template write_element<1,0>(r)=a/mat_traits<B>::template read_element<1,0>(b);
mat_traits<R>::template write_element<2,0>(r)=a/mat_traits<B>::template read_element<2,0>(b);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator/;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_sm_defined;
template <>
struct
div_sm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<A>::cols==3 && is_scalar<B>::value,
deduce_mat<A> >::type
operator/( A const & a, B b )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=mat_traits<A>::template read_element<0,0>(a)/b;
mat_traits<R>::template write_element<0,1>(r)=mat_traits<A>::template read_element<0,1>(a)/b;
mat_traits<R>::template write_element<0,2>(r)=mat_traits<A>::template read_element<0,2>(a)/b;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator/;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_ms_defined;
template <>
struct
div_ms_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3 && is_scalar<B>::value,
A &>::type
operator/=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)/=b;
mat_traits<A>::template write_element<0,1>(a)/=b;
mat_traits<A>::template write_element<0,2>(a)/=b;
mat_traits<A>::template write_element<1,0>(a)/=b;
mat_traits<A>::template write_element<1,1>(a)/=b;
mat_traits<A>::template write_element<1,2>(a)/=b;
mat_traits<A>::template write_element<2,0>(a)/=b;
mat_traits<A>::template write_element<2,1>(a)/=b;
mat_traits<A>::template write_element<2,2>(a)/=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator/=;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_eq_ms_defined;
template <>
struct
div_eq_ms_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==1 && is_scalar<B>::value,
A &>::type
operator/=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)/=b;
mat_traits<A>::template write_element<1,0>(a)/=b;
mat_traits<A>::template write_element<2,0>(a)/=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator/=;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_eq_ms_defined;
template <>
struct
div_eq_ms_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<A>::cols==3 && is_scalar<B>::value,
A &>::type
operator/=( A & a, B b )
{
mat_traits<A>::template write_element<0,0>(a)/=b;
mat_traits<A>::template write_element<0,1>(a)/=b;
mat_traits<A>::template write_element<0,2>(a)/=b;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator/=;
}
namespace
qvm_detail
{
template <int R,int C>
struct div_eq_ms_defined;
template <>
struct
div_eq_ms_defined<1,3>
{
static bool const value=true;
};
}
template <class R,class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<R>::rows==3 && mat_traits<A>::rows==3 &&
mat_traits<R>::cols==3 && mat_traits<A>::cols==3,
R>::type
convert_to( A const & a )
{
R r;
mat_traits<R>::template write_element<0,0>(r) = mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<0,1>(r) = mat_traits<A>::template read_element<0,1>(a);
mat_traits<R>::template write_element<0,2>(r) = mat_traits<A>::template read_element<0,2>(a);
mat_traits<R>::template write_element<1,0>(r) = mat_traits<A>::template read_element<1,0>(a);
mat_traits<R>::template write_element<1,1>(r) = mat_traits<A>::template read_element<1,1>(a);
mat_traits<R>::template write_element<1,2>(r) = mat_traits<A>::template read_element<1,2>(a);
mat_traits<R>::template write_element<2,0>(r) = mat_traits<A>::template read_element<2,0>(a);
mat_traits<R>::template write_element<2,1>(r) = mat_traits<A>::template read_element<2,1>(a);
mat_traits<R>::template write_element<2,2>(r) = mat_traits<A>::template read_element<2,2>(a);
return r;
}
template <class R,class A>
BOOST_QVM_INLINE
typename enable_if_c<
is_mat<R>::value && is_quat<A>::value &&
mat_traits<R>::rows==3 && mat_traits<R>::cols==3,
R>::type
convert_to( A const & q )
{
typedef typename mat_traits<R>::scalar_type T;
T const a=quat_traits<A>::template read_element<0>(q);
T const b=quat_traits<A>::template read_element<1>(q);
T const c=quat_traits<A>::template read_element<2>(q);
T const d=quat_traits<A>::template read_element<3>(q);
T const bb = b*b;
T const cc = c*c;
T const dd = d*d;
T const bc = b*c;
T const bd = b*d;
T const cd = c*d;
T const ab = a*b;
T const ac = a*c;
T const ad = a*d;
T const one = scalar_traits<T>::value(1);
T const two = one+one;
R r;
mat_traits<R>::template write_element<0,0>(r) = one - two*(cc+dd);
mat_traits<R>::template write_element<0,1>(r) = two*(bc-ad);
mat_traits<R>::template write_element<0,2>(r) = two*(bd+ac);
mat_traits<R>::template write_element<1,0>(r) = two*(bc+ad);
mat_traits<R>::template write_element<1,1>(r) = one - two*(bb+dd);
mat_traits<R>::template write_element<1,2>(r) = two*(cd-ab);
mat_traits<R>::template write_element<2,0>(r) = two*(bd-ac);
mat_traits<R>::template write_element<2,1>(r) = two*(cd+ab);
mat_traits<R>::template write_element<2,2>(r) = one - two*(bb+cc);
return r;
}
namespace
sfinae
{
using ::boost::qvm::convert_to;
}
namespace
qvm_detail
{
template <int R,int C>
struct convert_to_m_defined;
template <>
struct
convert_to_m_defined<3,3>
{
static bool const value=true;
};
}
template <class R,class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<R>::rows==3 && mat_traits<A>::rows==3 &&
mat_traits<R>::cols==1 && mat_traits<A>::cols==1,
R>::type
convert_to( A const & a )
{
R r;
mat_traits<R>::template write_element<0,0>(r) = mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<1,0>(r) = mat_traits<A>::template read_element<1,0>(a);
mat_traits<R>::template write_element<2,0>(r) = mat_traits<A>::template read_element<2,0>(a);
return r;
}
namespace
sfinae
{
using ::boost::qvm::convert_to;
}
namespace
qvm_detail
{
template <int R,int C>
struct convert_to_m_defined;
template <>
struct
convert_to_m_defined<3,1>
{
static bool const value=true;
};
}
template <class R,class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<R>::rows==1 && mat_traits<A>::rows==1 &&
mat_traits<R>::cols==3 && mat_traits<A>::cols==3,
R>::type
convert_to( A const & a )
{
R r;
mat_traits<R>::template write_element<0,0>(r) = mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<0,1>(r) = mat_traits<A>::template read_element<0,1>(a);
mat_traits<R>::template write_element<0,2>(r) = mat_traits<A>::template read_element<0,2>(a);
return r;
}
namespace
sfinae
{
using ::boost::qvm::convert_to;
}
namespace
qvm_detail
{
template <int R,int C>
struct convert_to_m_defined;
template <>
struct
convert_to_m_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
bool>::type
operator==( A const & a, B const & b )
{
return
mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b) &&
mat_traits<A>::template read_element<0,1>(a)==mat_traits<B>::template read_element<0,1>(b) &&
mat_traits<A>::template read_element<0,2>(a)==mat_traits<B>::template read_element<0,2>(b) &&
mat_traits<A>::template read_element<1,0>(a)==mat_traits<B>::template read_element<1,0>(b) &&
mat_traits<A>::template read_element<1,1>(a)==mat_traits<B>::template read_element<1,1>(b) &&
mat_traits<A>::template read_element<1,2>(a)==mat_traits<B>::template read_element<1,2>(b) &&
mat_traits<A>::template read_element<2,0>(a)==mat_traits<B>::template read_element<2,0>(b) &&
mat_traits<A>::template read_element<2,1>(a)==mat_traits<B>::template read_element<2,1>(b) &&
mat_traits<A>::template read_element<2,2>(a)==mat_traits<B>::template read_element<2,2>(b);
}
namespace
sfinae
{
using ::boost::qvm::operator==;
}
namespace
qvm_detail
{
template <int R,int C>
struct eq_mm_defined;
template <>
struct
eq_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
bool>::type
operator==( A const & a, B const & b )
{
return
mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b) &&
mat_traits<A>::template read_element<1,0>(a)==mat_traits<B>::template read_element<1,0>(b) &&
mat_traits<A>::template read_element<2,0>(a)==mat_traits<B>::template read_element<2,0>(b);
}
namespace
sfinae
{
using ::boost::qvm::operator==;
}
namespace
qvm_detail
{
template <int R,int C>
struct eq_mm_defined;
template <>
struct
eq_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
bool>::type
operator==( A const & a, B const & b )
{
return
mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b) &&
mat_traits<A>::template read_element<0,1>(a)==mat_traits<B>::template read_element<0,1>(b) &&
mat_traits<A>::template read_element<0,2>(a)==mat_traits<B>::template read_element<0,2>(b);
}
namespace
sfinae
{
using ::boost::qvm::operator==;
}
namespace
qvm_detail
{
template <int R,int C>
struct eq_mm_defined;
template <>
struct
eq_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
bool>::type
operator!=( A const & a, B const & b )
{
return
!(mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b)) ||
!(mat_traits<A>::template read_element<0,1>(a)==mat_traits<B>::template read_element<0,1>(b)) ||
!(mat_traits<A>::template read_element<0,2>(a)==mat_traits<B>::template read_element<0,2>(b)) ||
!(mat_traits<A>::template read_element<1,0>(a)==mat_traits<B>::template read_element<1,0>(b)) ||
!(mat_traits<A>::template read_element<1,1>(a)==mat_traits<B>::template read_element<1,1>(b)) ||
!(mat_traits<A>::template read_element<1,2>(a)==mat_traits<B>::template read_element<1,2>(b)) ||
!(mat_traits<A>::template read_element<2,0>(a)==mat_traits<B>::template read_element<2,0>(b)) ||
!(mat_traits<A>::template read_element<2,1>(a)==mat_traits<B>::template read_element<2,1>(b)) ||
!(mat_traits<A>::template read_element<2,2>(a)==mat_traits<B>::template read_element<2,2>(b));
}
namespace
sfinae
{
using ::boost::qvm::operator!=;
}
namespace
qvm_detail
{
template <int R,int C>
struct neq_mm_defined;
template <>
struct
neq_mm_defined<3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==1 && mat_traits<B>::cols==1,
bool>::type
operator!=( A const & a, B const & b )
{
return
!(mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b)) ||
!(mat_traits<A>::template read_element<1,0>(a)==mat_traits<B>::template read_element<1,0>(b)) ||
!(mat_traits<A>::template read_element<2,0>(a)==mat_traits<B>::template read_element<2,0>(b));
}
namespace
sfinae
{
using ::boost::qvm::operator!=;
}
namespace
qvm_detail
{
template <int R,int C>
struct neq_mm_defined;
template <>
struct
neq_mm_defined<3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==1 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
bool>::type
operator!=( A const & a, B const & b )
{
return
!(mat_traits<A>::template read_element<0,0>(a)==mat_traits<B>::template read_element<0,0>(b)) ||
!(mat_traits<A>::template read_element<0,1>(a)==mat_traits<B>::template read_element<0,1>(b)) ||
!(mat_traits<A>::template read_element<0,2>(a)==mat_traits<B>::template read_element<0,2>(b));
}
namespace
sfinae
{
using ::boost::qvm::operator!=;
}
namespace
qvm_detail
{
template <int R,int C>
struct neq_mm_defined;
template <>
struct
neq_mm_defined<1,3>
{
static bool const value=true;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3,
deduce_mat<A> >::type
operator-( A const & a )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=-mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<0,1>(r)=-mat_traits<A>::template read_element<0,1>(a);
mat_traits<R>::template write_element<0,2>(r)=-mat_traits<A>::template read_element<0,2>(a);
mat_traits<R>::template write_element<1,0>(r)=-mat_traits<A>::template read_element<1,0>(a);
mat_traits<R>::template write_element<1,1>(r)=-mat_traits<A>::template read_element<1,1>(a);
mat_traits<R>::template write_element<1,2>(r)=-mat_traits<A>::template read_element<1,2>(a);
mat_traits<R>::template write_element<2,0>(r)=-mat_traits<A>::template read_element<2,0>(a);
mat_traits<R>::template write_element<2,1>(r)=-mat_traits<A>::template read_element<2,1>(a);
mat_traits<R>::template write_element<2,2>(r)=-mat_traits<A>::template read_element<2,2>(a);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_m_defined;
template <>
struct
minus_m_defined<3,3>
{
static bool const value=true;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==1,
deduce_mat<A> >::type
operator-( A const & a )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=-mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<1,0>(r)=-mat_traits<A>::template read_element<1,0>(a);
mat_traits<R>::template write_element<2,0>(r)=-mat_traits<A>::template read_element<2,0>(a);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_m_defined;
template <>
struct
minus_m_defined<3,1>
{
static bool const value=true;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<A>::cols==3,
deduce_mat<A> >::type
operator-( A const & a )
{
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)=-mat_traits<A>::template read_element<0,0>(a);
mat_traits<R>::template write_element<0,1>(r)=-mat_traits<A>::template read_element<0,1>(a);
mat_traits<R>::template write_element<0,2>(r)=-mat_traits<A>::template read_element<0,2>(a);
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator-;
}
namespace
qvm_detail
{
template <int R,int C>
struct minus_m_defined;
template <>
struct
minus_m_defined<1,3>
{
static bool const value=true;
};
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3,
typename mat_traits<A>::scalar_type>::type
determinant( A const & a )
{
typedef typename mat_traits<A>::scalar_type T;
T const a00=mat_traits<A>::template read_element<0,0>(a);
T const a01=mat_traits<A>::template read_element<0,1>(a);
T const a02=mat_traits<A>::template read_element<0,2>(a);
T const a10=mat_traits<A>::template read_element<1,0>(a);
T const a11=mat_traits<A>::template read_element<1,1>(a);
T const a12=mat_traits<A>::template read_element<1,2>(a);
T const a20=mat_traits<A>::template read_element<2,0>(a);
T const a21=mat_traits<A>::template read_element<2,1>(a);
T const a22=mat_traits<A>::template read_element<2,2>(a);
T det=(a00*(a11*a22-a12*a21)-a01*(a10*a22-a12*a20)+a02*(a10*a21-a11*a20));
return det;
}
namespace
sfinae
{
using ::boost::qvm::determinant;
}
namespace
qvm_detail
{
template <int D>
struct determinant_defined;
template <>
struct
determinant_defined<3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3 && is_scalar<B>::value,
deduce_mat<A> >::type
inverse( A const & a, B det )
{
typedef typename mat_traits<A>::scalar_type T;
BOOST_QVM_ASSERT(det!=scalar_traits<B>::value(0));
T const a00=mat_traits<A>::template read_element<0,0>(a);
T const a01=mat_traits<A>::template read_element<0,1>(a);
T const a02=mat_traits<A>::template read_element<0,2>(a);
T const a10=mat_traits<A>::template read_element<1,0>(a);
T const a11=mat_traits<A>::template read_element<1,1>(a);
T const a12=mat_traits<A>::template read_element<1,2>(a);
T const a20=mat_traits<A>::template read_element<2,0>(a);
T const a21=mat_traits<A>::template read_element<2,1>(a);
T const a22=mat_traits<A>::template read_element<2,2>(a);
T const f=scalar_traits<T>::value(1)/det;
typedef typename deduce_mat<A>::type R;
R r;
mat_traits<R>::template write_element<0,0>(r)= f*(a11*a22-a12*a21);
mat_traits<R>::template write_element<0,1>(r)=-f*(a01*a22-a02*a21);
mat_traits<R>::template write_element<0,2>(r)= f*(a01*a12-a02*a11);
mat_traits<R>::template write_element<1,0>(r)=-f*(a10*a22-a12*a20);
mat_traits<R>::template write_element<1,1>(r)= f*(a00*a22-a02*a20);
mat_traits<R>::template write_element<1,2>(r)=-f*(a00*a12-a02*a10);
mat_traits<R>::template write_element<2,0>(r)= f*(a10*a21-a11*a20);
mat_traits<R>::template write_element<2,1>(r)=-f*(a00*a21-a01*a20);
mat_traits<R>::template write_element<2,2>(r)= f*(a00*a11-a01*a10);
return r;
}
template <class A>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<A>::cols==3,
deduce_mat<A> >::type
inverse( A const & a )
{
typedef typename mat_traits<A>::scalar_type T;
T det=determinant(a);
if( det==scalar_traits<T>::value(0) )
BOOST_QVM_THROW_EXCEPTION(zero_determinant_error());
return inverse(a,det);
}
namespace
sfinae
{
using ::boost::qvm::inverse;
}
namespace
qvm_detail
{
template <int D>
struct inverse_m_defined;
template <>
struct
inverse_m_defined<3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,3,3> >::type
operator*( A const & a, B const & b )
{
typedef typename mat_traits<A>::scalar_type Ta;
typedef typename mat_traits<B>::scalar_type Tb;
Ta const a00 = mat_traits<A>::template read_element<0,0>(a);
Ta const a01 = mat_traits<A>::template read_element<0,1>(a);
Ta const a02 = mat_traits<A>::template read_element<0,2>(a);
Ta const a10 = mat_traits<A>::template read_element<1,0>(a);
Ta const a11 = mat_traits<A>::template read_element<1,1>(a);
Ta const a12 = mat_traits<A>::template read_element<1,2>(a);
Ta const a20 = mat_traits<A>::template read_element<2,0>(a);
Ta const a21 = mat_traits<A>::template read_element<2,1>(a);
Ta const a22 = mat_traits<A>::template read_element<2,2>(a);
Tb const b00 = mat_traits<B>::template read_element<0,0>(b);
Tb const b01 = mat_traits<B>::template read_element<0,1>(b);
Tb const b02 = mat_traits<B>::template read_element<0,2>(b);
Tb const b10 = mat_traits<B>::template read_element<1,0>(b);
Tb const b11 = mat_traits<B>::template read_element<1,1>(b);
Tb const b12 = mat_traits<B>::template read_element<1,2>(b);
Tb const b20 = mat_traits<B>::template read_element<2,0>(b);
Tb const b21 = mat_traits<B>::template read_element<2,1>(b);
Tb const b22 = mat_traits<B>::template read_element<2,2>(b);
typedef typename deduce_mat2<A,B,3,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=a00*b00+a01*b10+a02*b20;
mat_traits<R>::template write_element<0,1>(r)=a00*b01+a01*b11+a02*b21;
mat_traits<R>::template write_element<0,2>(r)=a00*b02+a01*b12+a02*b22;
mat_traits<R>::template write_element<1,0>(r)=a10*b00+a11*b10+a12*b20;
mat_traits<R>::template write_element<1,1>(r)=a10*b01+a11*b11+a12*b21;
mat_traits<R>::template write_element<1,2>(r)=a10*b02+a11*b12+a12*b22;
mat_traits<R>::template write_element<2,0>(r)=a20*b00+a21*b10+a22*b20;
mat_traits<R>::template write_element<2,1>(r)=a20*b01+a21*b11+a22*b21;
mat_traits<R>::template write_element<2,2>(r)=a20*b02+a21*b12+a22*b22;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int CR,int C>
struct mul_mm_defined;
template <>
struct
mul_mm_defined<3,3,3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
A &>::type
operator*=( A & a, B const & b )
{
typedef typename mat_traits<A>::scalar_type Ta;
typedef typename mat_traits<B>::scalar_type Tb;
Ta const a00 = mat_traits<A>::template read_element<0,0>(a);
Ta const a01 = mat_traits<A>::template read_element<0,1>(a);
Ta const a02 = mat_traits<A>::template read_element<0,2>(a);
Ta const a10 = mat_traits<A>::template read_element<1,0>(a);
Ta const a11 = mat_traits<A>::template read_element<1,1>(a);
Ta const a12 = mat_traits<A>::template read_element<1,2>(a);
Ta const a20 = mat_traits<A>::template read_element<2,0>(a);
Ta const a21 = mat_traits<A>::template read_element<2,1>(a);
Ta const a22 = mat_traits<A>::template read_element<2,2>(a);
Tb const b00 = mat_traits<B>::template read_element<0,0>(b);
Tb const b01 = mat_traits<B>::template read_element<0,1>(b);
Tb const b02 = mat_traits<B>::template read_element<0,2>(b);
Tb const b10 = mat_traits<B>::template read_element<1,0>(b);
Tb const b11 = mat_traits<B>::template read_element<1,1>(b);
Tb const b12 = mat_traits<B>::template read_element<1,2>(b);
Tb const b20 = mat_traits<B>::template read_element<2,0>(b);
Tb const b21 = mat_traits<B>::template read_element<2,1>(b);
Tb const b22 = mat_traits<B>::template read_element<2,2>(b);
mat_traits<A>::template write_element<0,0>(a)=a00*b00+a01*b10+a02*b20;
mat_traits<A>::template write_element<0,1>(a)=a00*b01+a01*b11+a02*b21;
mat_traits<A>::template write_element<0,2>(a)=a00*b02+a01*b12+a02*b22;
mat_traits<A>::template write_element<1,0>(a)=a10*b00+a11*b10+a12*b20;
mat_traits<A>::template write_element<1,1>(a)=a10*b01+a11*b11+a12*b21;
mat_traits<A>::template write_element<1,2>(a)=a10*b02+a11*b12+a12*b22;
mat_traits<A>::template write_element<2,0>(a)=a20*b00+a21*b10+a22*b20;
mat_traits<A>::template write_element<2,1>(a)=a20*b01+a21*b11+a22*b21;
mat_traits<A>::template write_element<2,2>(a)=a20*b02+a21*b12+a22*b22;
return a;
}
namespace
sfinae
{
using ::boost::qvm::operator*=;
}
namespace
qvm_detail
{
template <int D>
struct mul_eq_mm_defined;
template <>
struct
mul_eq_mm_defined<3>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==3 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==1,
deduce_mat2<A,B,3,1> >::type
operator*( A const & a, B const & b )
{
typedef typename mat_traits<A>::scalar_type Ta;
typedef typename mat_traits<B>::scalar_type Tb;
Ta const a00 = mat_traits<A>::template read_element<0,0>(a);
Ta const a01 = mat_traits<A>::template read_element<0,1>(a);
Ta const a02 = mat_traits<A>::template read_element<0,2>(a);
Ta const a10 = mat_traits<A>::template read_element<1,0>(a);
Ta const a11 = mat_traits<A>::template read_element<1,1>(a);
Ta const a12 = mat_traits<A>::template read_element<1,2>(a);
Ta const a20 = mat_traits<A>::template read_element<2,0>(a);
Ta const a21 = mat_traits<A>::template read_element<2,1>(a);
Ta const a22 = mat_traits<A>::template read_element<2,2>(a);
Tb const b00 = mat_traits<B>::template read_element<0,0>(b);
Tb const b10 = mat_traits<B>::template read_element<1,0>(b);
Tb const b20 = mat_traits<B>::template read_element<2,0>(b);
typedef typename deduce_mat2<A,B,3,1>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==3);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==1);
R r;
mat_traits<R>::template write_element<0,0>(r)=a00*b00+a01*b10+a02*b20;
mat_traits<R>::template write_element<1,0>(r)=a10*b00+a11*b10+a12*b20;
mat_traits<R>::template write_element<2,0>(r)=a20*b00+a21*b10+a22*b20;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int CR,int C>
struct mul_mm_defined;
template <>
struct
mul_mm_defined<3,3,1>
{
static bool const value=true;
};
}
template <class A,class B>
BOOST_QVM_INLINE_OPERATIONS
typename lazy_enable_if_c<
mat_traits<A>::rows==1 && mat_traits<B>::rows==3 &&
mat_traits<A>::cols==3 && mat_traits<B>::cols==3,
deduce_mat2<A,B,1,3> >::type
operator*( A const & a, B const & b )
{
typedef typename mat_traits<A>::scalar_type Ta;
typedef typename mat_traits<B>::scalar_type Tb;
Ta const a00 = mat_traits<A>::template read_element<0,0>(a);
Ta const a01 = mat_traits<A>::template read_element<0,1>(a);
Ta const a02 = mat_traits<A>::template read_element<0,2>(a);
Tb const b00 = mat_traits<B>::template read_element<0,0>(b);
Tb const b01 = mat_traits<B>::template read_element<0,1>(b);
Tb const b02 = mat_traits<B>::template read_element<0,2>(b);
Tb const b10 = mat_traits<B>::template read_element<1,0>(b);
Tb const b11 = mat_traits<B>::template read_element<1,1>(b);
Tb const b12 = mat_traits<B>::template read_element<1,2>(b);
Tb const b20 = mat_traits<B>::template read_element<2,0>(b);
Tb const b21 = mat_traits<B>::template read_element<2,1>(b);
Tb const b22 = mat_traits<B>::template read_element<2,2>(b);
typedef typename deduce_mat2<A,B,1,3>::type R;
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::rows==1);
BOOST_QVM_STATIC_ASSERT(mat_traits<R>::cols==3);
R r;
mat_traits<R>::template write_element<0,0>(r)=a00*b00+a01*b10+a02*b20;
mat_traits<R>::template write_element<0,1>(r)=a00*b01+a01*b11+a02*b21;
mat_traits<R>::template write_element<0,2>(r)=a00*b02+a01*b12+a02*b22;
return r;
}
namespace
sfinae
{
using ::boost::qvm::operator*;
}
namespace
qvm_detail
{
template <int R,int CR,int C>
struct mul_mm_defined;
template <>
struct
mul_mm_defined<1,3,3>
{
static bool const value=true;
};
}
}
}
#endif