functional.hpp

boost库提供标准的C++ API 配合dev c++使用,功能更加强大

//
//  Copyright (c) 2000-2002
//  Joerg Walter, Mathias Koch
//
//  Permission to use, copy, modify, distribute and sell this software
//  and its documentation for any purpose is hereby granted without fee,
//  provided that the above copyright notice appear in all copies and
//  that both that copyright notice and this permission notice appear
//  in supporting documentation.  The authors make no representations
//  about the suitability of this software for any purpose.
//  It is provided "as is" without express or implied warranty.
//
//  The authors gratefully acknowledge the support of
//  GeNeSys mbH & Co. KG in producing this work.
//

#ifndef BOOST_UBLAS_FUNCTIONAL_H
#define BOOST_UBLAS_FUNCTIONAL_H

#include <functional>

#ifdef BOOST_UBLAS_HAVE_BINDINGS
#include <boost/numeric/bindings/traits/std_vector.hpp>
#include <boost/numeric/bindings/traits/ublas_vector.hpp>
#include <boost/numeric/bindings/traits/ublas_matrix.hpp>
#include <boost/numeric/bindings/atlas/cblas.hpp>
#endif

#include <boost/numeric/ublas/config.hpp>
#include <boost/numeric/ublas/exception.hpp>
#include <boost/numeric/ublas/traits.hpp>
#include <boost/numeric/ublas/duff.hpp>
#include <boost/numeric/ublas/raw.hpp>

namespace boost { namespace numeric { namespace ublas {

    // Scalar functors

    // Unary
    template<class T>
    struct scalar_unary_functor {
        typedef T value_type;
        typedef typename type_traits<T>::const_reference argument_type;
        typedef typename type_traits<T>::value_type result_type;
    };

    template<class T>
    struct scalar_identity:
        public scalar_unary_functor<T> {
        typedef typename scalar_unary_functor<T>::argument_type argument_type;
        typedef typename scalar_unary_functor<T>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument_type t) const {
            return t;
        }
    };
    template<class T>
    struct scalar_negate:
        public scalar_unary_functor<T> {
        typedef typename scalar_unary_functor<T>::argument_type argument_type;
        typedef typename scalar_unary_functor<T>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument_type t) const {
            return - t;
        }
    };
    template<class T>
    struct scalar_conj:
        public scalar_unary_functor<T> {
        typedef typename scalar_unary_functor<T>::value_type value_type;
        typedef typename scalar_unary_functor<T>::argument_type argument_type;
        typedef typename scalar_unary_functor<T>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument_type t) const {
            return type_traits<value_type>::conj (t);
        }
    };

    // Unary returning real
    template<class T>
    struct scalar_real_unary_functor {
        typedef T value_type;
        typedef typename type_traits<T>::const_reference argument_type;
        typedef typename type_traits<T>::real_type result_type;
    };

    template<class T>
    struct scalar_real:
        public scalar_real_unary_functor<T> {
        typedef typename scalar_real_unary_functor<T>::value_type value_type;
        typedef typename scalar_real_unary_functor<T>::argument_type argument_type;
        typedef typename scalar_real_unary_functor<T>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument_type t) const {
            return type_traits<value_type>::real (t);
        }
    };
    template<class T>
    struct scalar_imag:
        public scalar_real_unary_functor<T> {
        typedef typename scalar_real_unary_functor<T>::value_type value_type;
        typedef typename scalar_real_unary_functor<T>::argument_type argument_type;
        typedef typename scalar_real_unary_functor<T>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument_type t) const {
            return type_traits<value_type>::imag (t);
        }
    };

    // Binary
    template<class T1, class T2>
    struct scalar_binary_functor {
        typedef typename type_traits<T1>::const_reference argument1_type;
        typedef typename type_traits<T2>::const_reference argument2_type;
        typedef typename promote_traits<T1, T2>::promote_type result_type;
    };

    template<class T1, class T2>
    struct scalar_plus:
        public scalar_binary_functor<T1, T2> {
        typedef typename scalar_binary_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_functor<T1, T2>::argument2_type argument2_type;
        typedef typename scalar_binary_functor<T1, T2>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument1_type t1, argument2_type t2) const {
            return t1 + t2;
        }
    };
    template<class T1, class T2>
    struct scalar_minus:
        public scalar_binary_functor<T1, T2> {
        typedef typename scalar_binary_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_functor<T1, T2>::argument2_type argument2_type;
        typedef typename scalar_binary_functor<T1, T2>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument1_type t1, argument2_type t2) const {
            return t1 - t2;
        }
    };
    template<class T1, class T2>
    struct scalar_multiplies:
        public scalar_binary_functor<T1, T2> {
        typedef typename scalar_binary_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_functor<T1, T2>::argument2_type argument2_type;
        typedef typename scalar_binary_functor<T1, T2>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument1_type t1, argument2_type t2) const {
            return t1 * t2;
        }
    };
    template<class T1, class T2>
    struct scalar_divides:
        public scalar_binary_functor<T1, T2> {
        typedef typename scalar_binary_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_functor<T1, T2>::argument2_type argument2_type;
        typedef typename scalar_binary_functor<T1, T2>::result_type result_type;

        BOOST_UBLAS_INLINE
        result_type operator () (argument1_type t1, argument2_type t2) const {
            return t1 / t2;
        }
    };

    template<class T1, class T2>
    struct scalar_binary_assign_functor {
        typedef typename type_traits<typename boost::remove_reference<T1>::type>::reference argument1_type;
        typedef typename type_traits<T2>::const_reference argument2_type;
    };

    struct assign_tag {};
    struct computed_assign_tag {};

    template<class T1, class T2>
    struct scalar_assign:
        public scalar_binary_assign_functor<T1, T2> {
        typedef typename scalar_binary_assign_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_assign_functor<T1, T2>::argument2_type argument2_type;
        typedef assign_tag assign_category;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            t1 = t2;
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_assign<U1, U2> make_debug_functor () {
            return scalar_assign<U1, U2> ();
        }

    };
    template<class T1, class T2>
    struct scalar_plus_assign:
        public scalar_binary_assign_functor<T1, T2> {
        typedef typename scalar_binary_assign_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_assign_functor<T1, T2>::argument2_type argument2_type;
        typedef computed_assign_tag assign_category;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            t1 += t2;
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_plus_assign<U1, U2> make_debug_functor () {
            return scalar_plus_assign<U1, U2> ();
        }
    };
    template<class T1, class T2>
    struct scalar_minus_assign:
        public scalar_binary_assign_functor<T1, T2> {
        typedef typename scalar_binary_assign_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_assign_functor<T1, T2>::argument2_type argument2_type;
        typedef computed_assign_tag assign_category;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            t1 -= t2;
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_minus_assign<U1, U2> make_debug_functor () {
            return scalar_minus_assign<U1, U2> ();
        }
    };
    template<class T1, class T2>
    struct scalar_multiplies_assign:
        public scalar_binary_assign_functor<T1, T2> {
        typedef typename scalar_binary_assign_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_assign_functor<T1, T2>::argument2_type argument2_type;
        typedef computed_assign_tag assign_category;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            t1 *= t2;
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_multiplies_assign<U1, U2> make_debug_functor () {
            return scalar_multiplies_assign<U1, U2> ();
        }
    };
    template<class T1, class T2>
    struct scalar_divides_assign:
        public scalar_binary_assign_functor<T1, T2> {
        typedef typename scalar_binary_assign_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_assign_functor<T1, T2>::argument2_type argument2_type;
        typedef computed_assign_tag assign_category;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            t1 /= t2;
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_divides_assign<U1, U2> make_debug_functor () {
            return scalar_divides_assign<U1, U2> ();
        }
    };

    template<class T1, class T2>
    struct scalar_binary_swap_functor {
        typedef typename type_traits<typename boost::remove_reference<T1>::type>::reference argument1_type;
        typedef typename type_traits<typename boost::remove_reference<T2>::type>::reference argument2_type;
    };

    template<class T1, class T2>
    struct scalar_swap:
        public scalar_binary_swap_functor<T1, T2> {
        typedef typename scalar_binary_swap_functor<T1, T2>::argument1_type argument1_type;
        typedef typename scalar_binary_swap_functor<T1, T2>::argument2_type argument2_type;

        BOOST_UBLAS_INLINE
        void operator () (argument1_type t1, argument2_type t2) const {
            std::swap (t1, t2);
        }

        template<class U1, class U2>
        static
        BOOST_UBLAS_INLINE
        scalar_swap<U1, U2> make_debug_functor () {
            return scalar_swap<U1, U2> ();
        }
    };

    // Vector functors

    // Unary returning scalar
    template<class T>
    struct vector_scalar_unary_functor {
        typedef std::size_t size_type;
        typedef std::ptrdiff_t difference_type;
        typedef T value_type;
        typedef T result_type;
    };

    template<class T>
    struct vector_sum: 
        public vector_scalar_unary_functor<T> {
        typedef typename vector_scalar_unary_functor<T>::size_type size_type;
        typedef typename vector_scalar_unary_functor<T>::difference_type difference_type;
        typedef typename vector_scalar_unary_functor<T>::value_type value_type;
        typedef typename vector_scalar_unary_functor<T>::result_type result_type;

        template<class E>
        BOOST_UBLAS_INLINE
        result_type operator () (const vector_expression<E> &e) const { 
            result_type t = result_type ();
            size_type size (e ().size ());
            for (size_type i = 0; i < size; ++ i)