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///////////////////////////////////////////////////////////////////////////////
/// \file valarray.hpp
///
// Copyright 2005 Eric Niebler. 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_NUMERIC_FUNCTIONAL_VALARRAY_HPP_EAN_12_12_2005
#define BOOST_NUMERIC_FUNCTIONAL_VALARRAY_HPP_EAN_12_12_2005
#ifdef BOOST_NUMERIC_FUNCTIONAL_HPP_INCLUDED
# error Include this file before boost/accumulators/numeric/functional.hpp
#endif
#include <valarray>
#include <functional>
#include <boost/assert.hpp>
#include <boost/mpl/and.hpp>
#include <boost/mpl/not.hpp>
#include <boost/mpl/assert.hpp>
#include <boost/utility/enable_if.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/is_scalar.hpp>
#include <boost/type_traits/remove_const.hpp>
#include <boost/typeof/std/valarray.hpp>
#include <boost/accumulators/numeric/functional_fwd.hpp>
namespace boost { namespace numeric
{
namespace operators
{
namespace acc_detail
{
template<typename Fun>
struct make_valarray
{
typedef std::valarray<typename Fun::result_type> type;
};
}
///////////////////////////////////////////////////////////////////////////////
// Handle valarray<Left> / Right where Right is a scalar and Right != Left.
template<typename Left, typename Right>
typename lazy_enable_if<
mpl::and_<is_scalar<Right>, mpl::not_<is_same<Left, Right> > >
, acc_detail::make_valarray<functional::divides<Left, Right> >
>::type
operator /(std::valarray<Left> const &left, Right const &right)
{
typedef typename functional::divides<Left, Right>::result_type value_type;
std::valarray<value_type> result(left.size());
for(std::size_t i = 0, size = result.size(); i != size; ++i)
{
result[i] = numeric::divides(left[i], right);
}
return result;
}
///////////////////////////////////////////////////////////////////////////////
// Handle valarray<Left> * Right where Right is a scalar and Right != Left.
template<typename Left, typename Right>
typename lazy_enable_if<
mpl::and_<is_scalar<Right>, mpl::not_<is_same<Left, Right> > >
, acc_detail::make_valarray<functional::multiplies<Left, Right> >
>::type
operator *(std::valarray<Left> const &left, Right const &right)
{
typedef typename functional::multiplies<Left, Right>::result_type value_type;
std::valarray<value_type> result(left.size());
for(std::size_t i = 0, size = result.size(); i != size; ++i)
{
result[i] = numeric::multiplies(left[i], right);
}
return result;
}
///////////////////////////////////////////////////////////////////////////////
// Handle valarray<Left> + valarray<Right> where Right != Left.
template<typename Left, typename Right>
typename lazy_disable_if<
is_same<Left, Right>
, acc_detail::make_valarray<functional::plus<Left, Right> >
>::type
operator +(std::valarray<Left> const &left, std::valarray<Right> const &right)
{
typedef typename functional::plus<Left, Right>::result_type value_type;
std::valarray<value_type> result(left.size());
for(std::size_t i = 0, size = result.size(); i != size; ++i)
{
result[i] = numeric::plus(left[i], right[i]);
}
return result;
}
}
namespace functional
{
struct std_valarray_tag;
template<typename T>
struct tag<std::valarray<T> >
{
typedef std_valarray_tag type;
};
#ifdef __GLIBCXX__
template<typename T, typename U>
struct tag<std::_Expr<T, U> >
{
typedef std_valarray_tag type;
};
#endif
/// INTERNAL ONLY
///
// This is necessary because the GCC stdlib uses expression templates, and
// typeof(som-valarray-expression) is not an instance of std::valarray
#define BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(Name, Op) \
template<typename Left, typename Right> \
struct Name<Left, Right, std_valarray_tag, std_valarray_tag> \
: std::binary_function< \
Left \
, Right \
, std::valarray< \
typename Name< \
typename Left::value_type \
, typename Right::value_type \
>::result_type \
> \
> \
{ \
typedef typename Left::value_type left_value_type; \
typedef typename Right::value_type right_value_type; \
typedef \
std::valarray< \
typename Name<left_value_type, right_value_type>::result_type \
> \
result_type; \
result_type \
operator ()(Left &left, Right &right) const \
{ \
return numeric::promote<std::valarray<left_value_type> >(left) \
Op numeric::promote<std::valarray<right_value_type> >(right); \
} \
}; \
template<typename Left, typename Right> \
struct Name<Left, Right, std_valarray_tag, void> \
: std::binary_function< \
Left \
, Right \
, std::valarray< \
typename Name<typename Left::value_type, Right>::result_type \
> \
> \
{ \
typedef typename Left::value_type left_value_type; \
typedef \
std::valarray< \
typename Name<left_value_type, Right>::result_type \
> \
result_type; \
result_type \
operator ()(Left &left, Right &right) const \
{ \
return numeric::promote<std::valarray<left_value_type> >(left) Op right;\
} \
}; \
template<typename Left, typename Right> \
struct Name<Left, Right, void, std_valarray_tag> \
: std::binary_function< \
Left \
, Right \
, std::valarray< \
typename Name<Left, typename Right::value_type>::result_type \
> \
> \
{ \
typedef typename Right::value_type right_value_type; \
typedef \
std::valarray< \
typename Name<Left, right_value_type>::result_type \
> \
result_type; \
result_type \
operator ()(Left &left, Right &right) const \
{ \
return left Op numeric::promote<std::valarray<right_value_type> >(right);\
} \
};
BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(plus, +)
BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(minus, -)
BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(multiplies, *)
BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(divides, /)
BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP(modulus, %)
#undef BOOST_NUMERIC_FUNCTIONAL_DEFINE_VALARRAY_BIN_OP
///////////////////////////////////////////////////////////////////////////////
// element-wise min of std::valarray
template<typename Left, typename Right>
struct min_assign<Left, Right, std_valarray_tag, std_valarray_tag>
: std::binary_function<Left, Right, void>
{
void operator ()(Left &left, Right &right) const
{
BOOST_ASSERT(left.size() == right.size());
for(std::size_t i = 0, size = left.size(); i != size; ++i)
{
if(numeric::less(right[i], left[i]))
{
left[i] = right[i];
}
}
}
};
///////////////////////////////////////////////////////////////////////////////
// element-wise max of std::valarray
template<typename Left, typename Right>
struct max_assign<Left, Right, std_valarray_tag, std_valarray_tag>
: std::binary_function<Left, Right, void>
{
void operator ()(Left &left, Right &right) const
{
BOOST_ASSERT(left.size() == right.size());
for(std::size_t i = 0, size = left.size(); i != size; ++i)
{
if(numeric::greater(right[i], left[i]))
{
left[i] = right[i];
}
}
}
};
// partial specialization of numeric::fdiv<> for std::valarray.
template<typename Left, typename Right, typename RightTag>
struct fdiv<Left, Right, std_valarray_tag, RightTag>
: mpl::if_<
are_integral<typename Left::value_type, Right>
, divides<Left, double const>
, divides<Left, Right>
>::type
{};
// promote
template<typename To, typename From>
struct promote<To, From, std_valarray_tag, std_valarray_tag>
: std::unary_function<From, To>
{
To operator ()(From &arr) const
{
typename remove_const<To>::type res(arr.size());
for(std::size_t i = 0, size = arr.size(); i != size; ++i)
{
res[i] = numeric::promote<typename To::value_type>(arr[i]);
}
return res;
}
};
template<typename ToFrom>
struct promote<ToFrom, ToFrom, std_valarray_tag, std_valarray_tag>
: std::unary_function<ToFrom, ToFrom>
{
ToFrom &operator ()(ToFrom &tofrom) const
{
return tofrom;
}
};
// for "promoting" a std::valarray<bool> to a bool, useful for
// comparing 2 valarrays for equality:
// if(numeric::promote<bool>(a == b))
template<typename From>
struct promote<bool, From, void, std_valarray_tag>
: std::unary_function<From, bool>
{
bool operator ()(From &arr) const
{
BOOST_MPL_ASSERT((is_same<bool, typename From::value_type>));
for(std::size_t i = 0, size = arr.size(); i != size; ++i)
{
if(!arr[i])
{
return false;
}
}
return true;
}
};
template<typename From>
struct promote<bool const, From, void, std_valarray_tag>
: promote<bool, From, void, std_valarray_tag>
{};
///////////////////////////////////////////////////////////////////////////////
// functional::as_min
template<typename T>
struct as_min<T, std_valarray_tag>
: std::unary_function<T, typename remove_const<T>::type>
{
typename remove_const<T>::type operator ()(T &arr) const
{
return 0 == arr.size()
? T()
: T(numeric::as_min(arr[0]), arr.size());
}
};
///////////////////////////////////////////////////////////////////////////////
// functional::as_max
template<typename T>
struct as_max<T, std_valarray_tag>
: std::unary_function<T, typename remove_const<T>::type>
{
typename remove_const<T>::type operator ()(T &arr) const
{
return 0 == arr.size()
? T()
: T(numeric::as_max(arr[0]), arr.size());
}
};
///////////////////////////////////////////////////////////////////////////////
// functional::as_zero
template<typename T>
struct as_zero<T, std_valarray_tag>
: std::unary_function<T, typename remove_const<T>::type>
{
typename remove_const<T>::type operator ()(T &arr) const
{
return 0 == arr.size()
? T()
: T(numeric::as_zero(arr[0]), arr.size());
}
};
///////////////////////////////////////////////////////////////////////////////
// functional::as_one
template<typename T>
struct as_one<T, std_valarray_tag>
: std::unary_function<T, typename remove_const<T>::type>
{
typename remove_const<T>::type operator ()(T &arr) const
{
return 0 == arr.size()
? T()
: T(numeric::as_one(arr[0]), arr.size());
}
};
} // namespace functional
}} // namespace boost::numeric
#endif
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