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// Boost.Units - A C++ library for zero-overhead dimensional analysis and
// unit/quantity manipulation and conversion
//
// Copyright (C) 2003-2008 Matthias Christian Schabel
// Copyright (C) 2007-2008 Steven Watanabe
//
// 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)
/**
\file
\brief quaternion.cpp
\details
Demonstrate interoperability with Boost.Quaternion.
Output:
@verbatim
//[quaternion_output_1
+L = (4,3,2,1) m
-L = (-4,-3,-2,-1) m
L+L = (8,6,4,2) m
L-L = (0,0,0,0) m
L*L = (2,24,16,8) m^2
L/L = (1,0,0,0) dimensionless
L^3 = (-104,102,68,34) m^3
//]
//[quaternion_output_2
+L = (4 m,3 m,2 m,1 m)
-L = (-4 m,-3 m,-2 m,-1 m)
L+L = (8 m,6 m,4 m,2 m)
L-L = (0 m,0 m,0 m,0 m)
L^3 = (-104 m^3,102 m^3,68 m^3,34 m^3)
//]
@endverbatim
**/
#include <iostream>
#include <boost/math/quaternion.hpp>
#include <boost/mpl/list.hpp>
#include <boost/units/pow.hpp>
#include <boost/units/quantity.hpp>
#include <boost/units/io.hpp>
#include "test_system.hpp"
#if BOOST_UNITS_HAS_BOOST_TYPEOF
#include BOOST_TYPEOF_INCREMENT_REGISTRATION_GROUP()
BOOST_TYPEOF_REGISTER_TEMPLATE(boost::math::quaternion, 1)
#endif
namespace boost {
namespace units {
//[quaternion_class_snippet_1a
/// specialize power typeof helper
template<class Y,long N,long D>
struct power_typeof_helper<boost::math::quaternion<Y>,static_rational<N,D> >
{
// boost::math::quaternion only supports integer powers
BOOST_STATIC_ASSERT(D==1);
typedef boost::math::quaternion<
typename power_typeof_helper<Y,static_rational<N,D> >::type
> type;
static type value(const boost::math::quaternion<Y>& x)
{
return boost::math::pow(x,static_cast<int>(N));
}
};
//]
//[quaternion_class_snippet_1b
/// specialize root typeof helper
template<class Y,long N,long D>
struct root_typeof_helper<boost::math::quaternion<Y>,static_rational<N,D> >
{
// boost::math::quaternion only supports integer powers
BOOST_STATIC_ASSERT(N==1);
typedef boost::math::quaternion<
typename root_typeof_helper<Y,static_rational<N,D> >::type
> type;
static type value(const boost::math::quaternion<Y>& x)
{
return boost::math::pow(x,static_cast<int>(D));
}
};
//]
//[quaternion_class_snippet_2a
/// specialize power typeof helper for quaternion<quantity<Unit,Y> >
template<class Unit,long N,long D,class Y>
struct power_typeof_helper<
boost::math::quaternion<quantity<Unit,Y> >,
static_rational<N,D> >
{
typedef typename power_typeof_helper<
Y,
static_rational<N,D>
>::type value_type;
typedef typename power_typeof_helper<
Unit,
static_rational<N,D>
>::type unit_type;
typedef quantity<unit_type,value_type> quantity_type;
typedef boost::math::quaternion<quantity_type> type;
static type value(const boost::math::quaternion<quantity<Unit,Y> >& x)
{
const boost::math::quaternion<value_type> tmp =
pow<static_rational<N,D> >(boost::math::quaternion<Y>(
x.R_component_1().value(),
x.R_component_2().value(),
x.R_component_3().value(),
x.R_component_4().value()));
return type(quantity_type::from_value(tmp.R_component_1()),
quantity_type::from_value(tmp.R_component_2()),
quantity_type::from_value(tmp.R_component_3()),
quantity_type::from_value(tmp.R_component_4()));
}
};
//]
//[quaternion_class_snippet_2b
/// specialize root typeof helper for quaternion<quantity<Unit,Y> >
template<class Unit,long N,long D,class Y>
struct root_typeof_helper<
boost::math::quaternion<quantity<Unit,Y> >,
static_rational<N,D> >
{
typedef typename root_typeof_helper<
Y,
static_rational<N,D>
>::type value_type;
typedef typename root_typeof_helper<
Unit,
static_rational<N,D>
>::type unit_type;
typedef quantity<unit_type,value_type> quantity_type;
typedef boost::math::quaternion<quantity_type> type;
static type value(const boost::math::quaternion<quantity<Unit,Y> >& x)
{
const boost::math::quaternion<value_type> tmp =
root<static_rational<N,D> >(boost::math::quaternion<Y>(
x.R_component_1().value(),
x.R_component_2().value(),
x.R_component_3().value(),
x.R_component_4().value()));
return type(quantity_type::from_value(tmp.R_component_1()),
quantity_type::from_value(tmp.R_component_2()),
quantity_type::from_value(tmp.R_component_3()),
quantity_type::from_value(tmp.R_component_4()));
}
};
//]
} // namespace units
} // namespace boost
int main(void)
{
using boost::math::quaternion;
using namespace boost::units;
using namespace boost::units::test;
using boost::units::pow;
{
//[quaternion_snippet_1
typedef quantity<length,quaternion<double> > length_dimension;
length_dimension L(quaternion<double>(4.0,3.0,2.0,1.0)*meters);
//]
std::cout << "+L = " << +L << std::endl
<< "-L = " << -L << std::endl
<< "L+L = " << L+L << std::endl
<< "L-L = " << L-L << std::endl
<< "L*L = " << L*L << std::endl
<< "L/L = " << L/L << std::endl
// unfortunately, without qualification msvc still
// finds boost::math::pow by ADL.
<< "L^3 = " << boost::units::pow<3>(L) << std::endl
// << "L^(3/2) = " << pow< static_rational<3,2> >(L) << std::endl
// << "3vL = " << root<3>(L) << std::endl
// << "(3/2)vL = " << root< static_rational<3,2> >(L) << std::endl
<< std::endl;
}
{
//[quaternion_snippet_2
typedef quaternion<quantity<length> > length_dimension;
length_dimension L(4.0*meters,3.0*meters,2.0*meters,1.0*meters);
//]
std::cout << "+L = " << +L << std::endl
<< "-L = " << -L << std::endl
<< "L+L = " << L+L << std::endl
<< "L-L = " << L-L << std::endl
// << "L*L = " << L*L << std::endl
// << "L/L = " << L/L << std::endl
<< "L^3 = " << boost::units::pow<3>(L) << std::endl
// << "L^(3/2) = " << pow< static_rational<3,2> >(L) << std::endl
// << "3vL = " << root<3>(L) << std::endl
// << "(3/2)vL = " << root< static_rational<3,2> >(L) << std::endl
<< std::endl;
}
return 0;
}
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