text: // The template and inlines for the -*- C++ -*- internal _Meta class.
  
  // Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003 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, 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>
  
  /** @file valarray_meta.h
   *  This is an internal header file, included by other library headers.
   *  You should not attempt to use it directly.
   */
  
  #ifndef _VALARRAY_AFTER_H
  #define _VALARRAY_AFTER_H 1
  
  #pragma GCC system_header
  
  namespace std
  {
  
      //
      // 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
          { return _M_expr[_M_index[__i]]; }
          size_t size () const { return _M_index.size(); }
  
      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
          { return _M_array._M_data[_M_index[__i]]; }
          size_t size () const { return _M_index.size(); }
  
      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
          { return _M_expr[_M_index[__i]]; }
          size_t size() const { return _M_index.size(); }
  
      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,std::_Expr,_Clos>, value_type>
          operator+() const;
  
        _Expr<_UnClos<__negate,std::_Expr,_Clos>, value_type>
          operator-() const;
  
        _Expr<_UnClos<__bitwise_not,std::_Expr,_Clos>, value_type>
          operator~() const;
  
        _Expr<_UnClos<__logical_not,std::_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;
  
        value_type min() const;
        value_type max() const;
  
        valarray<value_type> apply(value_type (*)(const value_type&)) const;
        valarray<value_type> apply(value_type (*)(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[](slice __s) const
      { return _M_closure[__s]; }
  
    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 (); }
  
    template<class _Clos, typename _Tp>
      inline valarray<_Tp>
      _Expr<_Clos, _Tp>::shift(int __n) const
      { return valarray<_Tp>(_M_closure).shift(__n); }
  
    template<class _Clos, typename _Tp>
      inline valarray<_Tp>
      _Expr<_Clos, _Tp>::cshift(int __n) const
      { return valarray<_Tp>(_M_closure).cshift(__n); }
  
    template<class _Clos, typename _Tp>
      inline valarray<_Tp>
      _Expr<_Clos, _Tp>::apply(_Tp __f(const _Tp&)) const
      { return valarray<_Tp>(_M_closure).apply(__f); }
  
    template<class _Clos, typename _Tp>
      inline valarray<_Tp>
      _Expr<_Clos, _Tp>::apply(_Tp __f(_Tp)) const
      { return valarray<_Tp>(_M_closure).apply(__f); }
  
    // XXX: replace this with a more robust summation algorithm.
    template<class _Clos, typename _Tp>
      inline _Tp
      _Expr<_Clos,_Tp>::sum() const
      {
        size_t __n = _M_closure.size();
        if (__n == 0)
  	return _Tp();
        else
  	{
  	  _Tp __s = _M_closure[--__n];
  	  while (__n != 0)
  	    __s += _M_closure[--__n];
  	  return __s;
          }
      }
  
    template<class _Clos, typename _Tp>
      inline _Tp
      _Expr<_Clos, _Tp>::min() const
      { return __valarray_min(_M_closure); }
  
    template<class _Clos, typename _Tp>
      inline _Tp
      _Expr<_Clos, _Tp>::max() const
      { return __valarray_max(_M_closure); }
  
    template<class _Dom, typename _Tp>
      inline _Expr<_UnClos<__logical_not,_Expr,_Dom>, bool>
      _Expr<_Dom,_Tp>::operator!() const
      {
        typedef _UnClos<__logical_not,std::_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,std::_Expr,_Dom>,_Tp>                      \
      _Expr<_Dom,_Tp>::operator _Op() const                                 \
      {                                                                     \
        typedef _UnClos<_Name,std::_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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 __fun<_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)
      _DEFINE_EXPR_BINARY_OPERATOR(&&, __logical_and)
      _DEFINE_EXPR_BINARY_OPERATOR(||, __logical_or)
      _DEFINE_EXPR_BINARY_OPERATOR(==, __equal_to)
      _DEFINE_EXPR_BINARY_OPERATOR(!=, __not_equal_to)
      _DEFINE_EXPR_BINARY_OPERATOR(<, __less)
      _DEFINE_EXPR_BINARY_OPERATOR(>, __greater)
      _DEFINE_EXPR_BINARY_OPERATOR(<=, __less_equal)
      _DEFINE_EXPR_BINARY_OPERATOR(>=, __greater_equal)
  
  #undef _DEFINE_EXPR_BINARY_OPERATOR
  
  #define _DEFINE_EXPR_UNARY_FUNCTION(_Name)                               \
    template<class _Dom>                                                   \
      inline _Expr<_UnClos<__##_Name,_Expr,_Dom>,typename _Dom::value_type>\
      _Name(const _Expr<_Dom,typename _Dom::value_type>& __e)              \
      {                                                                    \
        typedef typename _Dom::value_type _Tp;                             \
        typedef _UnClos<__##_Name,_Expr,_Dom> _Closure;                    \
        return _Expr<_Closure,_Tp>(_Closure(__e()));                       \
      }                                                                    \
                                                                           \
    template<typename _Tp>                                                 \
      inline _Expr<_UnClos<__##_Name,_ValArray,_Tp>,_Tp>                   \
      _Name(const valarray<_Tp>& __v)                                      \
      {                                                                    \
        typedef _UnClos<__##_Name,_ValArray,_Tp> _Closure;                 \
        return _Expr<_Closure,_Tp>(_Closure(__v));                         \
      }
  
      _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(_Fun)                             \
    template<class _Dom1, class _Dom2>                                   \
      inline _Expr<_BinClos<__##_Fun,_Expr,_Expr,_Dom1,_Dom2>,           \
  		 typename _Dom1::value_type>                           \
      _Fun(const _Expr<_Dom1,typename _Dom1::value_type>& __e1,          \
  	  const _Expr<_Dom2,typename _Dom2::value_type>& __e2)         \
      {                                                                  \
        typedef typename _Dom1::value_type _Tp;                          \
        typedef _BinClos<__##_Fun,_Expr,_Expr,_Dom1,_Dom2> _Closure;     \
        return _Expr<_Closure,_Tp>(_Closure(__e1(), __e2()));            \
      }                                                                  \
                                                                         \
    template<class _Dom>                                                 \
      inline _Expr<_BinClos<__##_Fun, _Expr, _ValArray, _Dom,            \
  			  typename _Dom::value_type>,                  \
  		 typename _Dom::value_type>                            \
      _Fun(const _Expr<_Dom,typename _Dom::value_type>& __e,             \
  	 const valarray<typename _Dom::value_type>& __v)               \
      {                                                                  \
        typedef typename _Dom::value_type _Tp;                           \
        typedef _BinClos<__##_Fun, _Expr, _ValArray, _Dom, _Tp> _Closure;\
        return _Expr<_Closure,_Tp>(_Closure(__e(), __v));                \
      }                                                                  \
                                                                         \
    template<class _Dom>                                                 \
      inline _Expr<_BinClos<__##_Fun, _ValArray, _Expr,                  \
  			  typename _Dom::value_type,_Dom>,             \
  		 typename _Dom::value_type>                            \
      _Fun(const valarray<typename _Dom::valarray>& __v,                 \
  	 const _Expr<_Dom,typename _Dom::value_type>& __e)             \
      {                                                                  \
        typedef typename _Dom::value_type _Tp;                           \
        typedef _BinClos<__##_Fun,_ValArray,_Expr,_Tp,_Dom> _Closure;    \
        return _Expr<_Closure,_Tp>(_Closure(__v, __e()));                \
      }                                                                  \
                                                                         \
    template<class _Dom>                                                 \
      inline _Expr<_BinClos<__##_Fun,_Expr,_Constant,_Dom,               \
  			  typename _Dom::value_type>,                  \
  		 typename _Dom::value_type>                            \
      _Fun(const _Expr<_Dom, typename _Dom::value_type>& __e,            \
  	 const typename _Dom::value_type& __t)                         \
      {                                                                  \
        typedef typename _Dom::value_type _Tp;                           \
        typedef _BinClos<__##_Fun,_Expr,_Constant,_Dom,_Tp> _Closure;    \
        return _Expr<_Closure,_Tp>(_Closure(__e(), __t));                \
      }                                                                  \
                                                                         \
    template<class _Dom>                                                 \
      inline _Expr<_BinClos<__##_Fun,_Constant,_Expr,                    \
  			  typename _Dom::value_type,_Dom>,             \
  		 typename _Dom::value_type>                            \
      _Fun(const typename _Dom::value_type& __t,                         \
  	 const _Expr<_Dom,typename _Dom::value_type>& __e)             \
      {                                                                  \
        typedef typename _Dom::value_type _Tp;                           \
        typedef _BinClos<__##_Fun, _Constant,_Expr,_Tp,_Dom> _Closure;   \
        return _Expr<_Closure,_Tp>(_Closure(__t, __e()));                \
      }                                                                  \
                                                                         \
    template<typename _Tp>                                               \
      inline _Expr<_BinClos<__##_Fun,_ValArray,_ValArray,_Tp,_Tp>, _Tp>  \
      _Fun(const valarray<_Tp>& __v, const valarray<_Tp>& __w)           \
      {                                                                  \
        typedef _BinClos<__##_Fun,_ValArray,_ValArray,_Tp,_Tp> _Closure; \
        return _Expr<_Closure,_Tp>(_Closure(__v, __w));                  \
      }                                                                  \
                                                                         \
    template<typename _Tp>                                               \
      inline _Expr<_BinClos<__##_Fun,_ValArray,_Constant,_Tp,_Tp>,_Tp>   \
      _Fun(const valarray<_Tp>& __v, const _Tp& __t)                     \
      {                                                                  \
        typedef _BinClos<__##_Fun,_ValArray,_Constant,_Tp,_Tp> _Closure; \
        return _Expr<_Closure,_Tp>(_Closure(__v, __t));                  \
      }                                                                  \
  								       \
    template<typename _Tp>                                               \
      inline _Expr<_BinClos<__##_Fun,_Constant,_ValArray,_Tp,_Tp>,_Tp>   \
      _Fun(const _Tp& __t, const valarray<_Tp>& __v)                     \
      {                                                                  \
        typedef _BinClos<__##_Fun,_Constant,_ValArray,_Tp,_Tp> _Closure; \
        return _Expr<_Closure,_Tp>(_Closure(__t, __v));                  \
      }
  
  _DEFINE_EXPR_BINARY_FUNCTION(atan2)
  _DEFINE_EXPR_BINARY_FUNCTION(pow)
  
  #undef _DEFINE_EXPR_BINARY_FUNCTION
  
  } // std::
  
  
  #endif /* _CPP_VALARRAY_AFTER_H */
  
  // Local Variables:
  // mode:c++
  // End:
  