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

// Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004

// Free Software Foundation, Inc.

//

// 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, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,

// 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>

/** @file valarray_before.h

 *  This is an internal header file, included by other library headers.

 *  You should not attempt to use it directly.

 */

#ifndef _VALARRAY_BEFORE_H

#define _VALARRAY_BEFORE_H 1

#pragma GCC system_header

#include <bits/slice_array.h>

namespace std

{

  //

  // 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;

  // Implementations of unary functions applied to valarray<>s.

  // I use hard-coded object functions here instead of a generic

  // approach like pointers to function:

  //    1) correctness: some functions take references, others values.

  //       we can't deduce the correct type afterwards.

  //    2) efficiency -- object functions can be easily inlined

  //    3) be Koenig-lookup-friendly

  struct __abs

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return abs(__t); }

  };

  struct __cos

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return cos(__t); }

  };

  struct __acos

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return acos(__t); }

  };

  struct __cosh

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return cosh(__t); }

  };

  struct __sin

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return sin(__t); }

  };

  struct __asin

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return asin(__t); }

  };

  struct __sinh

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return sinh(__t); }

  };

  struct __tan

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return tan(__t); }

  };

  struct __atan

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return atan(__t); }

  };

  struct __tanh

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return tanh(__t); }

  };

  struct __exp

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return exp(__t); }

  };

  struct __log

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return log(__t); }

  };

  struct __log10

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return log10(__t); }

  };

  struct __sqrt

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return sqrt(__t); }

  };

  // In the past, we used to tailor operator applications semantics

  // to the specialization of standard function objects (i.e. plus<>, etc.)

  // That is incorrect.  Therefore we provide our own surrogates.

  struct __unary_plus

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return +__t; }

  };

  struct __negate

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return -__t; }

  };

  struct __bitwise_not

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __t) const

      { return ~__t; }

  };

  struct __plus

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x + __y; }

  };

  struct __minus

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x - __y; }

  };

  struct __multiplies

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x * __y; }

  };

  struct __divides

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x / __y; }

  };

  struct __modulus

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x % __y; }

  };

  struct __bitwise_xor

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x ^ __y; }

  };

  struct __bitwise_and

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x & __y; }

  };

  struct __bitwise_or

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x | __y; }

  };

  struct __shift_left

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x << __y; }

  };

  struct __shift_right

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return __x >> __y; }

  };

  struct __logical_and

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x && __y; }

  };

  struct __logical_or

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x || __y; }

  };

  struct __logical_not

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x) const { return !__x; }

  };

  struct __equal_to

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x == __y; }

  };

  struct __not_equal_to

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x != __y; }

  };

  struct __less

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x < __y; }

  };

  struct __greater

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x > __y; }

  };

  struct __less_equal

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x <= __y; }

  };

  struct __greater_equal

  {

    template<typename _Tp>

      bool operator()(const _Tp& __x, const _Tp& __y) const

      { return __x >= __y; }

  };

  // The few binary functions we miss.

  struct __atan2

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return atan2(__x, __y); }

  };

  struct __pow

  {

    template<typename _Tp>

      _Tp operator()(const _Tp& __x, const _Tp& __y) const

      { return pow(__x, __y); }

  };

  // We need these bits in order to recover the return type of

  // some functions/operators now that we're no longer using

  // function templates.

  template<typename, typename _Tp>

    struct __fun

    {

      typedef _Tp result_type;

    };

  // several specializations for relational operators.

  template<typename _Tp>

    struct __fun<__logical_not, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__logical_and, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__logical_or, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__less, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__greater, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__less_equal, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__greater_equal, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__equal_to, _Tp>

    {

      typedef bool result_type;

    };

  template<typename _Tp>

    struct __fun<__not_equal_to, _Tp>

    {

      typedef bool result_type;

    };

  //

  // 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<class _Oper, class _Arg>

    class _UnBase

    {

    public:

      typedef typename _Arg::value_type _Vt;

      typedef typename __fun<_Oper, _Vt>::result_type value_type;

      _UnBase(const _Arg& __e) : _M_expr(__e) {}

      value_type operator[](size_t __i) const

      { return _Oper()(_M_expr[__i]); }

      size_t size() const { return _M_expr.size(); }

    private:

      const _Arg& _M_expr;

    };

  template<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<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<class _Oper, class _FirstArg, class _SecondArg>

    class _BinBase

    {

    public:

      typedef typename _FirstArg::value_type _Vt;

      typedef typename __fun<_Oper, _Vt>::result_type value_type;

      _BinBase(const _FirstArg& __e1, const _SecondArg& __e2)

      : _M_expr1(__e1), _M_expr2(__e2) {}

      value_type operator[](size_t __i) const

      { return _Oper()(_M_expr1[__i], _M_expr2[__i]); }

      size_t size() const { return _M_expr1.size(); }

    private:

      const _FirstArg& _M_expr1;

      const _SecondArg& _M_expr2;

    };

  template<class _Oper, class _Clos>

    class _BinBase2

    {

    public:

      typedef typename _Clos::value_type _Vt;

      typedef typename __fun<_Oper, _Vt>::result_type value_type;

      _BinBase2(const _Clos& __e, const _Vt& __t)

      : _M_expr1(__e), _M_expr2(__t) {}

      value_type operator[](size_t __i) const

      { return _Oper()(_M_expr1[__i], _M_expr2); }

      size_t size() const { return _M_expr1.size(); }

    private:

      const _Clos& _M_expr1;

      const _Vt& _M_expr2;

    };

  template<class _Oper, class _Clos>

    class _BinBase1

    {

    public:

      typedef typename _Clos::value_type _Vt;

      typedef typename __fun<_Oper, _Vt>::result_type value_type;

      _BinBase1(const _Vt& __t, const _Clos& __e)

      : _M_expr1(__t), _M_expr2(__e) {}

      value_type operator[](size_t __i) const

      { return _Oper()(_M_expr1, _M_expr2[__i]); }

      size_t size() const { return _M_expr2.size(); }

    private:

      const _Vt& _M_expr1;

      const _Clos& _M_expr2;

    };

  template<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<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<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<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<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<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<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<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;