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//usr/include/c++/9/bits/valarray_before.h

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

// Copyright (C) 1997-2019 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 3, 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.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/** @file bits/valarray_before.h
 *  This is an internal header file, included by other library headers.
 *  Do not attempt to use it directly. @headername{valarray}
 */

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

#ifndef _VALARRAY_BEFORE_H
#define _VALARRAY_BEFORE_H 1

#pragma GCC system_header

#include <bits/slice_array.h>

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

//
  // 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); }
  };

template<typename _Tp, bool _IsValidValarrayValue = !__is_abstract(_Tp)>
    struct __fun_with_valarray
    {
      typedef _Tp result_type;
    };

template<typename _Tp>
    struct __fun_with_valarray<_Tp, false>
    {
      // No result type defined for invalid value types.
    };

// 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 : __fun_with_valarray<_Tp>
    {
    };

// 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;
    };

namespace __detail
{
  // Closure types already have reference semantics and are often short-lived,
  // so store them by value to avoid (some cases of) dangling references to
  // out-of-scope temporaries.
  template<typename _Tp>
    struct _ValArrayRef
    { typedef const _Tp __type; };

// Use real references for std::valarray objects.
  template<typename _Tp>
    struct _ValArrayRef< valarray<_Tp> >
    { typedef const valarray<_Tp>& __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:
      typename _ValArrayRef<_Dom>::__type _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:
      typename _ValArrayRef<_Arg>::__type _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:
      typename _ValArrayRef<_FirstArg>::__type _M_expr1;
      typename _ValArrayRef<_SecondArg>::__type _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:
      typename _ValArrayRef<_Clos>::__type _M_expr1;
      _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:
      _Vt _M_expr1;
      typename _ValArrayRef<_Clos>::__type _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 typename _Base::value_type 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;
      
      _SBase (const _Dom& __e, const slice& __s)
      : _M_expr (__e), _M_slice (__s) {}
        
      value_type
      operator[] (size_t __i) const
      { return _M_expr[_M_slice.start () + __i * _M_slice.stride ()]; }
        
      size_t
      size() const
      { return _M_slice.size (); }

private:
      typename _ValArrayRef<_Dom>::__type _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)
      : _M_array (__a._M_data+__s.start()), _M_size (__s.size()),
	_M_stride (__s.stride()) {}
        
      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) {}
    };
} // namespace __detail

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#endif /* _CPP_VALARRAY_BEFORE_H */