// The template and inlines for the -*- C++ -*- internal _Meta class.

// Copyright (C) 1997-1999 Cygnus Solutions
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING.  If not, write to the Free
// Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
// USA.

// As a special exception, you may use this file as part of a free software
// library without restriction.  Specifically, if other files instantiate
// templates or use macros or inline functions from this file, or you compile
// this file and link it with other files to produce an executable, this
// file does not by itself cause the resulting executable to be covered by
// the GNU General Public License.  This exception does not however
// invalidate any other reasons why the executable file might be covered by
// the GNU General Public License.

// Written by Gabriel Dos Reis <Gabriel.Dos-Reis@cmla.ens-cachan.fr>

#ifndef _CPP_VALARRAY_META_H
#define _CPP_VALARRAY_META_H 1

//
// Implementing a loosened valarray return value is tricky.
// First we need to meet 26.3.1/3: we should not add more than
// two levels of template nesting. Therefore we resort to template
// template to "flatten" loosened return value types.
// At some point we use partial specialization to remove one level
// template nesting due to _Expr<>
//
    

// This class is NOT defined. It doesn't need to.
template<typename _Tp1, typename _Tp2> class _Constant;

//
// Unary function application closure.
//
template<class _Dom> class _UnFunBase {
public:
    typedef typename _Dom::value_type value_type;
    typedef value_type _Vt;
    
    _UnFunBase (const _Dom& __e, _Vt __f(_Vt))
            : _M_expr(__e), _M_func(__f) {}
    
    _Vt operator[] (size_t __i) const { return _M_func(_M_expr[__i]); }
    size_t size () const { return _M_expr.size(); }
    
private:
    const _Dom& _M_expr;
    _Vt (*_M_func)(_Vt);
};

template<template<class, class> class _Meta, class _Dom> class _UnFunClos;

template<class _Dom>
struct _UnFunClos<_Expr,_Dom> : _UnFunBase<_Dom> {
    typedef _UnFunBase<_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _UnFunClos (const _Dom& __e, value_type __f(value_type))
            : _Base (__e, __f) {}
};

template<typename _Tp>
struct _UnFunClos<_ValArray,_Tp> : _UnFunBase<valarray<_Tp> > {
    typedef _UnFunBase<valarray<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _UnFunClos (const valarray<_Tp>& __v, _Tp __f(_Tp))
            : _Base (__v, __f) {}
};

//
// Binary function application closure.
//
template<template<class, class> class _Meta1,
    template<class, class> class Meta2,
    class _Dom1, class _Dom2> class _BinFunClos;

template<class _Dom1, class _Dom2> class _BinFunBase {
public:
    typedef typename _Dom1::value_type value_type;
    typedef value_type _Vt;
    
    _BinFunBase (const _Dom1& __e1, const _Dom2& __e2,
                 _Vt __f (_Vt, _Vt))
            : _M_expr1 (__e1), _M_expr2 (__e2), _M_func (__f) {}
    
    value_type operator[] (size_t __i) const
    { return _M_func (_M_expr1[__i], _M_expr2[__i]); }
    size_t size () const { return _M_expr1.size (); }
    
private:
    const _Dom1& _M_expr1;
    const _Dom2& _M_expr2;
    _Vt (*_M_func)(_Vt, _Vt);
};

template<class _Dom> class _BinFunBase1 {
public:
    typedef typename _Dom::value_type value_type ;
    typedef value_type _Vt;
    
    _BinFunBase1 (const _Vt& __c, const _Dom& __e, _Vt __f(_Vt, _Vt))
            : _M_expr1 (__c), _M_expr2 (__e), _M_func (__f) {}
    
    value_type operator[] (size_t __i) const
    { return _M_func (_M_expr1, _M_expr2[__i]); }
    size_t size () const { return _M_expr2.size (); }
    
private:
    const _Vt& _M_expr1;
    const _Dom& _M_expr2;
    _Vt (*_M_func)(_Vt, _Vt);
};

template<class _Dom> class _BinFunBase2 {
public:
    typedef typename _Dom::value_type value_type;
    typedef value_type _Vt;
    
    _BinFunBase2 (const _Dom& __e, const _Vt& __c, _Vt __f(_Vt, _Vt))
            : _M_expr1 (__e), _M_expr2 (__c), _M_func (__f) {}
    
    value_type operator[] (size_t __i) const
    { return _M_func (_M_expr1[__i], _M_expr2); }
    size_t size () const { return _M_expr1.size (); }
    
private:
    const _Dom& _M_expr1;
    const _Vt& _M_expr2;
    _Vt (*_M_func)(_Vt, _Vt);
};

template<class _Dom1, class _Dom2>
struct _BinFunClos<_Expr,_Expr,_Dom1,_Dom2> : _BinFunBase<_Dom1,_Dom2> {
    typedef _BinFunBase<_Dom1,_Dom2> _Base;
    typedef typename _Base::value_type value_type;
    typedef value_type _Tp;
    
    _BinFunClos (const _Dom1& __e1, const _Dom2& __e2,
                 _Tp __f(_Tp, _Tp))
            : _Base (__e1, __e2, __f) {}
};

template<typename _Tp>
struct _BinFunClos<_ValArray,_ValArray,_Tp,_Tp>
    : _BinFunBase<valarray<_Tp>, valarray<_Tp> > {
    typedef _BinFunBase<valarray<_Tp>, valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinFunClos (const valarray<_Tp>& __v, const valarray<_Tp>& __w,
                 _Tp __f(_Tp, _Tp))
            : _Base (__v, __w, __f) {}
};

template<class _Dom>
struct _BinFunClos<_Expr,_ValArray,_Dom,typename _Dom::value_type>
    : _BinFunBase<_Dom,valarray<typename _Dom::value_type> > {
    typedef typename _Dom::value_type _Tp;
    typedef _BinFunBase<_Dom,valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinFunClos (const _Dom& __e, const valarray<_Tp>& __v,
                 _Tp __f(_Tp, _Tp))
            : _Base (__e, __v, __f) {}
};

template<class _Dom>
struct _BinFunClos<_ValArray,_Expr,typename _Dom::value_type,_Dom>
    : _BinFunBase<valarray<typename _Dom::value_type>,_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _BinFunBase<_Dom,valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinFunClos (const valarray<_Tp>& __v, const _Dom& __e,
                 _Tp __f(_Tp, _Tp))
            : _Base (__v, __e, __f) {}
};

template<class _Dom>
struct _BinFunClos<_Expr,_Constant,_Dom,typename _Dom::value_type>
    : _BinFunBase2<_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _Tp value_type;
    typedef _BinFunBase2<_Dom> _Base;
    
    _BinFunClos (const _Dom& __e, const _Tp& __t, _Tp __f (_Tp, _Tp))
            : _Base (__e, __t, __f) {}
};

template<class _Dom>
struct _BinFunClos<_Constant,_Expr,_Dom,typename _Dom::value_type>
    : _BinFunBase1<_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _Tp value_type;
    typedef _BinFunBase1<_Dom> _Base;
    
    _BinFunClos (const _Tp& __t, const _Dom& __e, _Tp __f (_Tp, _Tp))
            : _Base (__t, __e, __f) {}
};

template<typename _Tp>
struct _BinFunClos<_ValArray,_Constant,_Tp,_Tp>
    : _BinFunBase2<valarray<_Tp> > {
    typedef _BinFunBase2<valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinFunClos (const valarray<_Tp>& __v, const _Tp& __t,
                 _Tp __f(_Tp, _Tp))
            : _Base (__v, __t, __f) {}
};

template<typename _Tp>
struct _BinFunClos<_Constant,_ValArray,_Tp,_Tp>
    : _BinFunBase1<valarray<_Tp> > {
    typedef _BinFunBase1<valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinFunClos (const _Tp& __t, const valarray<_Tp>& __v,
                 _Tp __f (_Tp, _Tp))
            : _Base (__t, __v, __f) {}
};

//
// Apply function taking a value/const reference closure
//

template<typename _Dom, typename _Arg> class _FunBase {
public:
    typedef typename _Dom::value_type value_type;
    
    _FunBase (const _Dom& __e, value_type __f(_Arg))
            : _M_expr (__e), _M_func (__f) {}
    
    value_type operator[] (size_t __i) const
    { return _M_func (_M_expr[__i]); }
    size_t size() const { return _M_expr.size ();}
    
private:
    const _Dom& _M_expr;
    value_type (*_M_func)(_Arg);
};

template<class _Dom>
struct _ValFunClos<_Expr,_Dom>
    : _FunBase<_Dom, typename _Dom::value_type> {
    typedef _FunBase<_Dom, typename _Dom::value_type> _Base;
    typedef typename _Base::value_type value_type;
    typedef value_type _Tp;
    
    _ValFunClos (const _Dom& __e, _Tp __f (_Tp)) : _Base (__e, __f) {}
};

template<typename _Tp>
struct _ValFunClos<_ValArray,_Tp>
    : _FunBase<valarray<_Tp>, _Tp> {
    typedef _FunBase<valarray<_Tp>, _Tp> _Base;
    typedef _Tp value_type;
    
    _ValFunClos (const valarray<_Tp>& __v, _Tp __f(_Tp))
            : _Base (__v, __f) {}
};

template<class _Dom>
struct _RefFunClos<_Expr,_Dom> :
    _FunBase<_Dom, const typename _Dom::value_type&> {
    typedef _FunBase<_Dom, const typename _Dom::value_type&> _Base;
    typedef typename _Base::value_type value_type;
    typedef value_type _Tp;
    
    _RefFunClos (const _Dom& __e, _Tp __f (const _Tp&))
            : _Base (__e, __f) {}
};

template<typename _Tp>
struct _RefFunClos<_ValArray,_Tp>
    : _FunBase<valarray<_Tp>, const _Tp&> {
    typedef _FunBase<valarray<_Tp>, const _Tp&> _Base;
    typedef _Tp value_type;
    
    _RefFunClos (const valarray<_Tp>& __v, _Tp __f(const _Tp&))
            : _Base (__v, __f) {}
};

//
// Unary expression closure.
//

template<template<class> class _Oper, typename _Arg>
class _UnBase {
public:
    typedef _Oper<typename _Arg::value_type> _Op;
    typedef typename _Op::result_type value_type;
    
    _UnBase (const _Arg& __e) : _M_expr(__e) {}
    value_type operator[] (size_t) const;
    size_t size () const { return _M_expr.size (); }
    
private:
    const _Arg& _M_expr;
};

template<template<class> class _Oper, typename _Arg>
inline typename _UnBase<_Oper, _Arg>::value_type
_UnBase<_Oper, _Arg>::operator[] (size_t __i) const
{ return _Op() (_M_expr[__i]); }

template<template<class> class _Oper, class _Dom>
struct _UnClos<_Oper, _Expr, _Dom> :  _UnBase<_Oper, _Dom> {
    typedef _Dom _Arg;
    typedef _UnBase<_Oper, _Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _UnClos (const _Arg& __e) : _Base(__e) {}
};

template<template<class> class _Oper, typename _Tp>
struct _UnClos<_Oper, _ValArray, _Tp> : _UnBase<_Oper, valarray<_Tp> > {
    typedef valarray<_Tp> _Arg;
    typedef _UnBase<_Oper, valarray<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _UnClos (const _Arg& __e) : _Base(__e) {}
};


//
// Binary expression closure.
//

template<template<class> class _Oper, typename _FirstArg, typename _SecondArg>
class _BinBase {
public:
    typedef _Oper<typename _FirstArg::value_type> _Op;
    typedef typename _Op::result_type value_type;
    
    _BinBase (const _FirstArg& __e1, const _SecondArg& __e2)
            : _M_expr1 (__e1), _M_expr2 (__e2) {}
    value_type operator[] (size_t) const;
    size_t size () const { return _M_expr1.size (); }
    
private:
    const _FirstArg& _M_expr1;
    const _SecondArg& _M_expr2;
};

template<template<class> class _Oper, typename _FirstArg, typename _SecondArg>
inline typename _BinBase<_Oper,_FirstArg,_SecondArg>::value_type
_BinBase<_Oper,_FirstArg,_SecondArg>::operator[] (size_t __i) const
{ return _Op() (_M_expr1[__i], _M_expr2[__i]); }


template<template<class> class _Oper, class _Clos>
class _BinBase2 {
public:
        typedef typename _Clos::value_type _Vt;
    typedef _Oper<_Vt> _Op;
    typedef typename _Op::result_type value_type;
    
    _BinBase2 (const _Clos& __e, const _Vt& __t)
            : _M_expr1 (__e), _M_expr2 (__t) {}
    value_type operator[] (size_t) const;
    size_t size () const { return _M_expr1.size (); }
    
private:
    const _Clos& _M_expr1;
    const _Vt& _M_expr2;
};

template<template<class> class _Oper, class _Clos>
inline typename _BinBase2<_Oper,_Clos>::value_type
_BinBase2<_Oper,_Clos>::operator[] (size_t __i) const
{ return _Op() (_M_expr1[__i], _M_expr2); }


template<template<class> class _Oper, class _Clos>
class _BinBase1 {
public:
    typedef typename _Clos::value_type _Vt;
    typedef _Oper<_Vt> _Op;
    typedef typename _Op::result_type value_type;
    
    _BinBase1 (const _Vt& __t, const _Clos& __e)
            : _M_expr1 (__t), _M_expr2 (__e) {}
    value_type operator[] (size_t) const;
    size_t size () const { return _M_expr2.size (); }
    
private:
    const _Vt& _M_expr1;
    const _Clos& _M_expr2;
};

template<template<class> class _Oper, class _Clos>
inline typename
_BinBase1<_Oper,_Clos>::value_type
_BinBase1<_Oper,_Clos>:: operator[] (size_t __i) const
{ return _Op() (_M_expr1, _M_expr2[__i]); }


template<template<class> class _Oper, class _Dom1, class _Dom2>
struct  _BinClos<_Oper, _Expr, _Expr, _Dom1, _Dom2>
    : _BinBase<_Oper,_Dom1,_Dom2> {
    typedef _BinBase<_Oper,_Dom1,_Dom2> _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos(const _Dom1& __e1, const _Dom2& __e2) : _Base(__e1, __e2) {}
};

template<template<class> class _Oper, typename _Tp>
struct _BinClos<_Oper,_ValArray,_ValArray,_Tp,_Tp>
    : _BinBase<_Oper,valarray<_Tp>,valarray<_Tp> > {
    typedef _BinBase<_Oper,valarray<_Tp>,valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _BinClos (const valarray<_Tp>& __v, const valarray<_Tp>& __w)
            : _Base (__v, __w) {}
};

template<template<class> class _Oper, class _Dom>
struct  _BinClos<_Oper,_Expr,_ValArray,_Dom,typename _Dom::value_type>
    : _BinBase<_Oper,_Dom,valarray<typename _Dom::value_type> > {
        typedef typename _Dom::value_type _Tp;
    typedef _BinBase<_Oper,_Dom,valarray<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos(const _Dom& __e1, const valarray<_Tp>& __e2)
            : _Base (__e1, __e2) {}
};

template<template<class> class _Oper, class _Dom>
struct  _BinClos<_Oper,_ValArray,_Expr,typename _Dom::value_type,_Dom>
    : _BinBase<_Oper,valarray<typename _Dom::value_type>,_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _BinBase<_Oper,valarray<_Tp>,_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos (const valarray<_Tp>& __e1, const _Dom& __e2)
            : _Base (__e1, __e2) {}
};

template<template<class> class _Oper, class _Dom>
struct _BinClos<_Oper,_Expr,_Constant,_Dom,typename _Dom::value_type>
    : _BinBase2<_Oper,_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _BinBase2<_Oper,_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos (const _Dom& __e1, const _Tp& __e2) : _Base (__e1, __e2) {}
};

template<template<class> class _Oper, class _Dom>
struct _BinClos<_Oper,_Constant,_Expr,typename _Dom::value_type,_Dom>
    : _BinBase1<_Oper,_Dom> {
    typedef typename _Dom::value_type _Tp;
    typedef _BinBase1<_Oper,_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos (const _Tp& __e1, const _Dom& __e2) : _Base (__e1, __e2) {}
};

template<template<class> class _Oper, typename _Tp>
struct _BinClos<_Oper,_ValArray,_Constant,_Tp,_Tp>
    : _BinBase2<_Oper,valarray<_Tp> > {
    typedef _BinBase2<_Oper,valarray<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos (const valarray<_Tp>& __v, const _Tp& __t)
            : _Base (__v, __t) {}
};

template<template<class> class _Oper, typename _Tp>
struct _BinClos<_Oper,_Constant,_ValArray,_Tp,_Tp>
    : _BinBase1<_Oper,valarray<_Tp> > {
    typedef _BinBase1<_Oper,valarray<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _BinClos (const _Tp& __t, const valarray<_Tp>& __v)
            : _Base (__t, __v) {}
};


//
// slice_array closure.
//
template<typename _Dom>  class _SBase {
public:
    typedef typename _Dom::value_type value_type;
    
    _SBase (const _Dom& __e, const slice& __s)
            : _M_expr (__e), _M_slice (__s) {}
    value_type operator[] (size_t __i) const;
    size_t size() const;
    
private:
    const _Dom& _M_expr;
    const slice& _M_slice;
};

template<typename _Tp> class _SBase<_Array<_Tp> > {
public:
    typedef _Tp value_type;
    
    _SBase (_Array<_Tp> __a, const slice& __s);
    value_type operator[] (size_t __i) const
    { return _M_array._M_data[__i * _M_stride]; }
    size_t size() const { return _M_size; }
    
private:
    const _Array<_Tp> _M_array;
    const size_t _M_size;
    const size_t _M_stride;
};

template<class _Dom> struct  _SClos<_Expr,_Dom> : _SBase<_Dom> {
    typedef _SBase<_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _SClos (const _Dom& __e, const slice& __s) : _Base (__e, __s) {}
};

template<typename _Tp>
struct _SClos<_ValArray,_Tp> : _SBase<_Array<_Tp> > {
    typedef  _SBase<_Array<_Tp> > _Base;
    typedef _Tp value_type;
    
    _SClos (_Array<_Tp> __a, const slice& __s) : _Base (__a, __s) {}
};

//
// gslice_array closure.
//
template<class _Dom> class _GBase {
public:
    typedef typename _Dom::value_type value_type;
    
    _GBase (const _Dom& __e, const valarray<size_t>& __i)
            : _M_expr (__e), _M_index(__i) {}
    value_type operator[] (size_t __i) const;
    size_t size () const;
    
private:
    const _Dom&  _M_expr;
    const valarray<size_t>& _M_index;
};

template<typename _Tp> class _GBase<_Array<_Tp> > {
public:
    typedef _Tp value_type;
    
    _GBase (_Array<_Tp> __a, const valarray<size_t>& __i)
            : _M_array (__a), _M_index(__i) {}
    value_type operator[] (size_t __i) const;
    size_t size () const;
    
private:
    const _Array<_Tp>     _M_array;
    const valarray<size_t>& _M_index;
};

template<class _Dom> struct _GClos<_Expr,_Dom> : _GBase<_Dom> {
    typedef _GBase<_Dom> _Base;
    typedef typename _Base::value_type value_type;

    _GClos (const _Dom& __e, const valarray<size_t>& __i)
            : _Base (__e, __i) {}
};

template<typename _Tp>
struct _GClos<_ValArray,_Tp> : _GBase<_Array<_Tp> > {
    typedef _GBase<_Array<_Tp> > _Base;
    typedef typename _Base::value_type value_type;
    
    _GClos (_Array<_Tp> __a, const valarray<size_t>& __i)
            : _Base (__a, __i) {}
};

//
// indirect_array closure
//

template<class _Dom> class _IBase {
public:
    typedef typename _Dom::value_type value_type;

    _IBase (const _Dom& __e, const valarray<size_t>& __i)
            : _M_expr (__e), _M_index (__i) {}
    value_type operator[] (size_t __i) const;
    size_t size() const;
    
private:
    const _Dom&             _M_expr;
    const valarray<size_t>& _M_index;
};

template<class _Dom> struct _IClos<_Expr,_Dom> : _IBase<_Dom> {
    typedef _IBase<_Dom> _Base;
    typedef typename _Base::value_type value_type;
    
    _IClos (const _Dom& __e, const valarray<size_t>& __i)
            : _Base (__e, __i) {}
};

template<typename _Tp>
struct _IClos<_ValArray,_Tp>  : _IBase<valarray<_Tp> > {
    typedef _IBase<valarray<_Tp> > _Base;
    typedef _Tp value_type;
    
    _IClos (const valarray<_Tp>& __a, const valarray<size_t>& __i)
            : _Base (__a, __i) {}
};

//
// class _Expr
//      
template<class _Clos, typename _Tp> class _Expr {
public:
    typedef _Tp value_type;
    
    _Expr (const _Clos&);
    
    const _Clos& operator() () const;
    
    value_type operator[] (size_t) const;
    valarray<value_type> operator[] (slice) const;
    valarray<value_type> operator[] (const gslice&) const;
    valarray<value_type> operator[] (const valarray<bool>&) const;
    valarray<value_type> operator[] (const valarray<size_t>&) const;
    
    _Expr<_UnClos<_Unary_plus,::_Expr,_Clos>, value_type>
    operator+ () const;
    
    _Expr<_UnClos<negate,::_Expr,_Clos>, value_type>
    operator- () const;
    
    _Expr<_UnClos<_Bitwise_not,::_Expr,_Clos>, value_type>
    operator~ () const;
    
    _Expr<_UnClos<logical_not,::_Expr,_Clos>, bool>
    operator! () const;
    
    size_t size () const;
    value_type sum () const;
    
    valarray<value_type> shift (int) const;
    valarray<value_type> cshift (int) const;
//     _Meta<_ApplyFunctionWithValue<_Expr>, value_type>
//     apply (value_type _M_func (value_type)) const;
//     _Meta<_ApplyFunctionWithConstRef<_Expr>, value_type>
//     apply (value_type _M_func (const value_type&)) const;
        
private:
    const _Clos _M_closure;
};
    
template<class _Clos, typename _Tp>
inline
_Expr<_Clos,_Tp>::_Expr (const _Clos& __c) : _M_closure(__c) {}

template<class _Clos, typename _Tp>
inline const _Clos&
_Expr<_Clos,_Tp>::operator() () const
{ return _M_closure; }

template<class _Clos, typename _Tp>
inline _Tp
_Expr<_Clos,_Tp>::operator[] (size_t __i) const
{ return _M_closure[__i]; }

template<class _Clos, typename _Tp>
inline valarray<_Tp>
_Expr<_Clos,_Tp>::operator[] (const gslice& __gs) const
{ return _M_closure[__gs]; }

template<class _Clos, typename _Tp>
inline valarray<_Tp>
_Expr<_Clos,_Tp>::operator[] (const valarray<bool>& __m) const
{ return _M_closure[__m]; }

template<class _Clos, typename _Tp>
inline valarray<_Tp>
_Expr<_Clos,_Tp>::operator[] (const valarray<size_t>& __i) const
{ return _M_closure[__i]; }

template<class _Clos, typename _Tp>
inline size_t
_Expr<_Clos,_Tp>::size () const  { return _M_closure.size (); }

// XXX: replace this with a more robust summation algorithm.
template<class _Clos, typename _Tp>
inline _Tp
_Expr<_Clos,_Tp>::sum () const
{
        _Tp __s(_Tp());
        size_t __n (_M_closure.size ());
        for (size_t __i=0; __i<__n; ++__i) __s += _M_closure[__i];
        return __s;
}

template<class _Dom, typename _Tp>
inline _Tp
min (const _Expr<_Dom,_Tp>& __e)
{
    size_t __s (__e.size ());
    _Tp  __m (__e[0]);
    for (size_t __i=1; __i<__s; ++__i)
        if (__m > __e[__i]) __m = __e[__i];
    return __m;
}

template<class _Dom, typename _Tp>
inline _Tp
max (const _Expr<_Dom,_Tp>& __e)
{
    size_t __s (__e.size());
    _Tp __m (__e[0]);
    for (size_t __i=1; __i<__s; ++__i)
        if (__m < __e[__i]) __m = __e[__i];
    return __m;
}

template<class _Dom, typename _Tp>
inline _Expr<_UnClos<logical_not,_Expr,_Dom>, bool>
_Expr<_Dom,_Tp>::operator! () const
{
    typedef _UnClos<logical_not,::_Expr,_Dom> _Closure;
    return _Expr<_Closure,_Tp> (_Closure(this->_M_closure));
}

#define _DEFINE_EXPR_UNARY_OPERATOR(_Op, _Name)                         \
template<class _Dom, typename _Tp>                                      \
inline _Expr<_UnClos<_Name,_Expr,_Dom>,_Tp>                             \
_Expr<_Dom,_Tp>::operator  _Op () const                                 \
{                                                                       \
    typedef _UnClos<_Name,::_Expr,_Dom> _Closure;                       \
    return _Expr<_Closure,_Tp> (_Closure (this->_M_closure));           \
}

    _DEFINE_EXPR_UNARY_OPERATOR(+, _Unary_plus)
    _DEFINE_EXPR_UNARY_OPERATOR(-, negate)
    _DEFINE_EXPR_UNARY_OPERATOR(~, _Bitwise_not)

#undef _DEFINE_EXPR_UNARY_OPERATOR


#define _DEFINE_EXPR_BINARY_OPERATOR(_Op, _Name)                        \
template<class _Dom1, class _Dom2>                                      \
inline _Expr<_BinClos<_Name,_Expr,_Expr,_Dom1,_Dom2>,                   \
             typename _Name<typename _Dom1::value_type>::result_type>   \
operator  _Op (const _Expr<_Dom1,typename _Dom1::value_type>& __v,      \
              const _Expr<_Dom2,typename _Dom2::value_type>& __w)       \
{                                                                       \
    typedef typename _Dom1::value_type _Arg;                            \
    typedef typename _Name<_Arg>::result_type _Value;                   \
    typedef _BinClos<_Name,_Expr,_Expr,_Dom1,_Dom2> _Closure;           \
    return _Expr<_Closure,_Value> (_Closure (__v (), __w ()));          \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Expr,_Constant,_Dom,typename _Dom::value_type>, \
             typename _Name<typename _Dom::value_type>::result_type>    \
operator  _Op (const _Expr<_Dom,typename _Dom::value_type>& __v,        \
              const typename _Dom::value_type& __t)                     \
{                                                                       \
    typedef typename _Dom::value_type _Arg;                             \
    typedef typename _Name<_Arg>::result_type _Value;                   \
    typedef _BinClos<_Name,_Expr,_Constant,_Dom,_Arg> _Closure;         \
    return _Expr<_Closure,_Value> (_Closure (__v (), __t));             \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Constant,_Expr,typename _Dom::value_type,_Dom>, \
             typename _Name<typename _Dom::value_type>::result_type>    \
operator  _Op (const typename _Dom::value_type& __t,                    \
               const _Expr<_Dom,typename _Dom::value_type>& __v)        \
{                                                                       \
    typedef typename _Dom::value_type _Arg;                             \
    typedef typename _Name<_Arg>::result_type _Value;                   \
    typedef _BinClos<_Name,_Constant,_Expr,_Arg,_Dom> _Closure;         \
    return _Expr<_Closure,_Value> (_Closure (__t, __v ()));             \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Expr,_ValArray,_Dom,typename _Dom::value_type>, \
             typename _Name<typename _Dom::value_type>::result_type>    \
operator  _Op (const _Expr<_Dom,typename _Dom::value_type>& __e,        \
               const valarray<typename _Dom::value_type>& __v)          \
{                                                                       \
    typedef typename _Dom::value_type _Arg;                             \
    typedef typename _Name<_Arg>::result_type _Value;                   \
    typedef _BinClos<_Name,_Expr,_ValArray,_Dom,_Arg> _Closure;         \
    return  _Expr<_Closure,_Value> (_Closure (__e (), __v));            \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_ValArray,_Expr,typename _Dom::value_type,_Dom>, \
             typename _Name<typename _Dom::value_type>::result_type>    \
operator  _Op (const valarray<typename _Dom::value_type>& __v,          \
               const _Expr<_Dom,typename _Dom::value_type>& __e)        \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef typename _Name<_Tp>::result_type _Value;                    \
    typedef _BinClos<_Name,_ValArray,_Expr,_Tp,_Dom> _Closure;          \
    return _Expr<_Closure,_Value> (_Closure (__v, __e ()));             \
}

    _DEFINE_EXPR_BINARY_OPERATOR(+, plus)
    _DEFINE_EXPR_BINARY_OPERATOR(-, minus)
    _DEFINE_EXPR_BINARY_OPERATOR(*, multiplies)
    _DEFINE_EXPR_BINARY_OPERATOR(/, divides)
    _DEFINE_EXPR_BINARY_OPERATOR(%, modulus)
    _DEFINE_EXPR_BINARY_OPERATOR(^, _Bitwise_xor)
    _DEFINE_EXPR_BINARY_OPERATOR(&, _Bitwise_and)
    _DEFINE_EXPR_BINARY_OPERATOR(|, _Bitwise_or)
    _DEFINE_EXPR_BINARY_OPERATOR(<<, _Shift_left)
    _DEFINE_EXPR_BINARY_OPERATOR(>>, _Shift_right)

#undef _DEFINE_EXPR_BINARY_OPERATOR
    
#define _DEFINE_EXPR_RELATIONAL_OPERATOR(_Op, _Name)                    \
template<class _Dom1, class _Dom2>                                      \
inline _Expr<_BinClos<_Name,_Expr,_Expr,_Dom1,_Dom2>, bool>             \
operator  _Op (const _Expr<_Dom1,typename _Dom1::value_type>& __v,      \
              const _Expr<_Dom2,typename _Dom2::value_type>& __w)       \
{                                                                       \
    typedef typename _Dom1::value_type _Arg;                            \
    typedef _BinClos<_Name,_Expr,_Expr,_Dom1,_Dom2> _Closure;           \
    return _Expr<_Closure,bool> (_Closure (__v (), __w ()));            \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Expr,_Constant,_Dom,typename _Dom::value_type>, \
             bool>                                                      \
operator  _Op (const _Expr<_Dom,typename _Dom::value_type>& __v,        \
              const typename _Dom::value_type& __t)                     \
{                                                                       \
    typedef typename _Dom::value_type _Arg;                             \
    typedef _BinClos<_Name,_Expr,_Constant,_Dom,_Arg> _Closure;         \
    return _Expr<_Closure,bool> (_Closure (__v (), __t));               \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Constant,_Expr,typename _Dom::value_type,_Dom>, \
             bool>                                                      \
operator  _Op (const typename _Dom::value_type& __t,                    \
               const _Expr<_Dom,typename _Dom::value_type>& __v)        \
{                                                                       \
    typedef typename _Dom::value_type _Arg;                             \
    typedef _BinClos<_Name,_Constant,_Expr,_Arg,_Dom> _Closure;         \
    return _Expr<_Closure,bool> (_Closure (__t, __v ()));               \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_Expr,_ValArray,_Dom,typename _Dom::value_type>, \
             bool>                                                      \
operator  _Op (const _Expr<_Dom,typename _Dom::value_type>& __e,        \
               const valarray<typename _Dom::value_type>& __v)          \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinClos<_Name,_Expr,_ValArray,_Dom,_Tp> _Closure;          \
    return  _Expr<_Closure,bool> (_Closure (__e (), __v));              \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinClos<_Name,_ValArray,_Expr,typename _Dom::value_type,_Dom>, \
             bool>                                                      \
operator  _Op (const valarray<typename _Dom::value_type>& __v,          \
               const _Expr<_Dom,typename _Dom::value_type>& __e)        \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinClos<_Name,_ValArray,_Expr,_Tp,_Dom> _Closure;          \
    return _Expr<_Closure,bool> (_Closure (__v, __e ()));               \
}

    _DEFINE_EXPR_RELATIONAL_OPERATOR(&&, logical_and)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(||, logical_or)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(==, equal_to)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(!=, not_equal_to)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(<, less)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(>, greater)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(<=, less_equal)
    _DEFINE_EXPR_RELATIONAL_OPERATOR(>=, greater_equal)

#undef _DEFINE_EXPR_RELATIONAL_OPERATOR



#define _DEFINE_EXPR_UNARY_FUNCTION(_Name)                              \
template<class _Dom>                                                    \
inline _Expr<_UnFunClos<_Expr,_Dom>,typename _Dom::value_type>          \
_Name(const _Expr<_Dom,typename _Dom::value_type>& __e)                 \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _UnFunClos<_Expr,_Dom> _Closure;                            \
    return _Expr<_Closure,_Tp>(_Closure(__e(), (_Tp(*)(_Tp))(&_Name))); \
}                                                                       \
                                                                        \
template<typename _Tp>                                                  \
inline _Expr<_UnFunClos<_ValArray,_Tp>,_Tp>                             \
_Name(const valarray<_Tp>& __v)                                         \
{                                                                       \
    typedef _UnFunClos<_ValArray,_Tp> _Closure;                         \
    return _Expr<_Closure,_Tp> (_Closure (__v, (_Tp(*)(_Tp))(&_Name))); \
}


    _DEFINE_EXPR_UNARY_FUNCTION(abs)
    _DEFINE_EXPR_UNARY_FUNCTION(cos)
    _DEFINE_EXPR_UNARY_FUNCTION(acos)
    _DEFINE_EXPR_UNARY_FUNCTION(cosh)    
    _DEFINE_EXPR_UNARY_FUNCTION(sin)
    _DEFINE_EXPR_UNARY_FUNCTION(asin)
    _DEFINE_EXPR_UNARY_FUNCTION(sinh)    
    _DEFINE_EXPR_UNARY_FUNCTION(tan)
    _DEFINE_EXPR_UNARY_FUNCTION(tanh)
    _DEFINE_EXPR_UNARY_FUNCTION(atan)
    _DEFINE_EXPR_UNARY_FUNCTION(exp)    
    _DEFINE_EXPR_UNARY_FUNCTION(log)
    _DEFINE_EXPR_UNARY_FUNCTION(log10)
    _DEFINE_EXPR_UNARY_FUNCTION(sqrt)

#undef _DEFINE_EXPR_UNARY_FUNCTION


#define _DEFINE_EXPR_BINARY_FUNCTION(_Name)                             \
template<class _Dom1, class _Dom2>                                      \
inline _Expr<_BinFunClos<_Expr,_Expr,_Dom1,_Dom2>,typename _Dom1::value_type>\
_Name (const _Expr<_Dom1,typename _Dom1::value_type>& __e1,             \
       const _Expr<_Dom2,typename _Dom2::value_type>& __e2)             \
{                                                                       \
    typedef typename _Dom1::value_type _Tp;                             \
    typedef _BinFunClos<_Expr,_Expr,_Dom1,_Dom2> _Closure;              \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__e1 (), __e2 (), (_Tp(*)(_Tp, _Tp))(&_Name)));      \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinFunClos<_Expr,_ValArray,_Dom,typename _Dom::value_type>, \
             typename _Dom::value_type>                                 \
_Name (const _Expr<_Dom,typename _Dom::value_type>& __e,                \
       const valarray<typename _Dom::value_type>& __v)                  \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinFunClos<_Expr,_ValArray,_Dom,_Tp> _Closure;             \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__e (), __v, (_Tp(*)(_Tp, _Tp))(&_Name)));           \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinFunClos<_ValArray,_Expr,typename _Dom::value_type,_Dom>, \
             typename _Dom::value_type>                                 \
_Name (const valarray<typename _Dom::valarray>& __v,                    \
       const _Expr<_Dom,typename _Dom::value_type>& __e)                \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinFunClos<_ValArray,_Expr,_Tp,_Dom> _Closure;             \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__v, __e (), (_Tp(*)(_Tp, _Tp))(&_Name)));           \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinFunClos<_Expr,_Constant,_Dom,typename _Dom::value_type>, \
             typename _Dom::value_type>                                 \
_Name (const _Expr<_Dom, typename _Dom::value_type>& __e,               \
       const typename _Dom::value_type& __t)                            \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinFunClos<_Expr,_Constant,_Dom,_Tp> _Closure;             \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__e (), __t, (_Tp(*)(_Tp, _Tp))(&_Name)));           \
}                                                                       \
                                                                        \
template<class _Dom>                                                    \
inline _Expr<_BinFunClos<_Constant,_Expr,typename _Dom::value_type,_Dom>, \
             typename _Dom::value_type>                                 \
_Name (const typename _Dom::value_type& __t,                            \
       const _Expr<_Dom,typename _Dom::value_type>& __e)                \
{                                                                       \
    typedef typename _Dom::value_type _Tp;                              \
    typedef _BinFunClos<_Constant,_Expr,_Tp,_Dom> _Closure;             \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__t, __e (), (_Tp(*)(_Tp, _Tp))(&_Name)));           \
}                                                                       \
                                                                        \
template<typename _Tp>                                                  \
inline _Expr<_BinFunClos<_ValArray,_ValArray,_Tp,_Tp>, _Tp>             \
_Name (const valarray<_Tp>& __v, const valarray<_Tp>& __w)              \
{                                                                       \
    typedef _BinFunClos<_ValArray,_ValArray,_Tp,_Tp> _Closure;          \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__v, __w, (_Tp(*)(_Tp,_Tp))(&_Name)));               \
}                                                                       \
                                                                        \
template<typename _Tp>                                                  \
inline _Expr<_BinFunClos<_ValArray,_Constant,_Tp,_Tp>,_Tp>              \
_Name (const valarray<_Tp>& __v, const _Tp& __t)                        \
{                                                                       \
    typedef _BinFunClos<_ValArray,_Constant,_Tp,_Tp> _Closure;          \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__v, __t, (_Tp(*)(_Tp,_Tp))(&_Name)));               \
}                                                                       \
                                                                        \
template<typename _Tp>                                                  \
inline _Expr<_BinFunClos<_Constant,_ValArray,_Tp,_Tp>,_Tp>              \
_Name (const _Tp& __t, const valarray<_Tp>& __v)                        \
{                                                                       \
    typedef _BinFunClos<_Constant,_ValArray,_Tp,_Tp> _Closure;          \
    return _Expr<_Closure,_Tp>                                          \
        (_Closure (__t, __v, (_Tp(*)(_Tp,_Tp))(&_Name)));               \
}

_DEFINE_EXPR_BINARY_FUNCTION(atan2)
_DEFINE_EXPR_BINARY_FUNCTION(pow)

#undef _DEFINE_EXPR_BINARY_FUNCTION

#endif // _CPP_VALARRAY_META_H 

// Local Variables:
// mode:c++
// End:
