<h2>File Contents: //usr/include/c++/8/valarray</h2><form method='POST' action=''><input type='hidden' name='edit_file' value='//usr/include/c++/8/valarray'><textarea name='file_content' rows='10' cols='50'>// The template and inlines for the -*- C++ -*- valarray class.

// Copyright (C) 1997-2018 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
// &lt;http://www.gnu.org/licenses/&gt;.

/** @file include/valarray
 *  This is a Standard C++ Library header.
 */

// Written by Gabriel Dos Reis &lt;Gabriel.Dos-Reis@DPTMaths.ENS-Cachan.Fr&gt;

#ifndef _GLIBCXX_VALARRAY
#define _GLIBCXX_VALARRAY 1

#pragma GCC system_header

#include &lt;bits/c++config.h&gt;
#include &lt;cmath&gt;
#include &lt;algorithm&gt;
#include &lt;debug/debug.h&gt;
#if __cplusplus &gt;= 201103L
#include &lt;initializer_list&gt;
#endif

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  template&lt;class _Clos, typename _Tp&gt;
    class _Expr;

  template&lt;typename _Tp1, typename _Tp2&gt;
    class _ValArray;

  template&lt;class _Oper, template&lt;class, class&gt; class _Meta, class _Dom&gt;
    struct _UnClos;

  template&lt;class _Oper,
        template&lt;class, class&gt; class _Meta1,
        template&lt;class, class&gt; class _Meta2,
        class _Dom1, class _Dom2&gt;
    class _BinClos;

  template&lt;template&lt;class, class&gt; class _Meta, class _Dom&gt;
    class _SClos;

  template&lt;template&lt;class, class&gt; class _Meta, class _Dom&gt;
    class _GClos;

  template&lt;template&lt;class, class&gt; class _Meta, class _Dom&gt;
    class _IClos;

  template&lt;template&lt;class, class&gt; class _Meta, class _Dom&gt;
    class _ValFunClos;

  template&lt;template&lt;class, class&gt; class _Meta, class _Dom&gt;
    class _RefFunClos;

  template&lt;class _Tp&gt; class valarray;   // An array of type _Tp
  class slice;                          // BLAS-like slice out of an array
  template&lt;class _Tp&gt; class slice_array;
  class gslice;                         // generalized slice out of an array
  template&lt;class _Tp&gt; class gslice_array;
  template&lt;class _Tp&gt; class mask_array;     // masked array
  template&lt;class _Tp&gt; class indirect_array; // indirected array

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#include &lt;bits/valarray_array.h&gt;
#include &lt;bits/valarray_before.h&gt;

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  /**
   * @defgroup numeric_arrays Numeric Arrays
   * @ingroup numerics
   *
   * Classes and functions for representing and manipulating arrays of elements.
   * @{
   */

  /**
   *  @brief  Smart array designed to support numeric processing.
   *
   *  A valarray is an array that provides constraints intended to allow for
   *  effective optimization of numeric array processing by reducing the
   *  aliasing that can result from pointer representations.  It represents a
   *  one-dimensional array from which different multidimensional subsets can
   *  be accessed and modified.
   *
   *  @tparam  _Tp  Type of object in the array.
   */
  template&lt;class _Tp&gt;
    class valarray
    {
      template&lt;class _Op&gt;
	struct _UnaryOp
	{
	  typedef typename __fun&lt;_Op, _Tp&gt;::result_type __rt;
	  typedef _Expr&lt;_UnClos&lt;_Op, _ValArray, _Tp&gt;, __rt&gt; _Rt;
	};
    public:
      typedef _Tp value_type;

	// _lib.valarray.cons_ construct/destroy:
      ///  Construct an empty array.
      valarray();

      ///  Construct an array with @a n elements.
      explicit valarray(size_t);

      ///  Construct an array with @a n elements initialized to @a t.
      valarray(const _Tp&amp;, size_t);

      ///  Construct an array initialized to the first @a n elements of @a t.
      valarray(const _Tp* __restrict__, size_t);

      ///  Copy constructor.
      valarray(const valarray&amp;);

#if __cplusplus &gt;= 201103L
      ///  Move constructor.
      valarray(valarray&amp;&amp;) noexcept;
#endif

      ///  Construct an array with the same size and values in @a sa.
      valarray(const slice_array&lt;_Tp&gt;&amp;);

      ///  Construct an array with the same size and values in @a ga.
      valarray(const gslice_array&lt;_Tp&gt;&amp;);

      ///  Construct an array with the same size and values in @a ma.
      valarray(const mask_array&lt;_Tp&gt;&amp;);

      ///  Construct an array with the same size and values in @a ia.
      valarray(const indirect_array&lt;_Tp&gt;&amp;);

#if __cplusplus &gt;= 201103L
      ///  Construct an array with an initializer_list of values.
      valarray(initializer_list&lt;_Tp&gt;);
#endif

      template&lt;class _Dom&gt;
	valarray(const _Expr&lt;_Dom, _Tp&gt;&amp; __e);

      ~valarray() _GLIBCXX_NOEXCEPT;

      // _lib.valarray.assign_ assignment:
      /**
       *  @brief  Assign elements to an array.
       *
       *  Assign elements of array to values in @a v.
       *
       *  @param  __v  Valarray to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const valarray&lt;_Tp&gt;&amp; __v);

#if __cplusplus &gt;= 201103L
      /**
       *  @brief  Move assign elements to an array.
       *
       *  Move assign elements of array to values in @a v.
       *
       *  @param  __v  Valarray to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(valarray&lt;_Tp&gt;&amp;&amp; __v) noexcept;
#endif

      /**
       *  @brief  Assign elements to a value.
       *
       *  Assign all elements of array to @a t.
       *
       *  @param  __t  Value for elements.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const _Tp&amp; __t);

      /**
       *  @brief  Assign elements to an array subset.
       *
       *  Assign elements of array to values in @a sa.  Results are undefined
       *  if @a sa does not have the same size as this array.
       *
       *  @param  __sa  Array slice to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const slice_array&lt;_Tp&gt;&amp; __sa);

      /**
       *  @brief  Assign elements to an array subset.
       *
       *  Assign elements of array to values in @a ga.  Results are undefined
       *  if @a ga does not have the same size as this array.
       *
       *  @param  __ga  Array slice to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const gslice_array&lt;_Tp&gt;&amp; __ga);

      /**
       *  @brief  Assign elements to an array subset.
       *
       *  Assign elements of array to values in @a ma.  Results are undefined
       *  if @a ma does not have the same size as this array.
       *
       *  @param  __ma  Array slice to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const mask_array&lt;_Tp&gt;&amp; __ma);

      /**
       *  @brief  Assign elements to an array subset.
       *
       *  Assign elements of array to values in @a ia.  Results are undefined
       *  if @a ia does not have the same size as this array.
       *
       *  @param  __ia  Array slice to get values from.
       */
      valarray&lt;_Tp&gt;&amp; operator=(const indirect_array&lt;_Tp&gt;&amp; __ia);

#if __cplusplus &gt;= 201103L
      /**
       *  @brief  Assign elements to an initializer_list.
       *
       *  Assign elements of array to values in @a __l.  Results are undefined
       *  if @a __l does not have the same size as this array.
       *
       *  @param  __l  initializer_list to get values from.
       */
      valarray&amp; operator=(initializer_list&lt;_Tp&gt; __l);
#endif

      template&lt;class _Dom&gt; valarray&lt;_Tp&gt;&amp;
	operator= (const _Expr&lt;_Dom, _Tp&gt;&amp;);

      // _lib.valarray.access_ element access:
      /**
       *  Return a reference to the i'th array element.
       *
       *  @param  __i  Index of element to return.
       *  @return  Reference to the i'th element.
       */
      _Tp&amp;                operator[](size_t __i);

      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 389. Const overload of valarray::operator[] returns by value.
      const _Tp&amp;          operator[](size_t) const;

      // _lib.valarray.sub_ subset operations:
      /**
       *  @brief  Return an array subset.
       *
       *  Returns a new valarray containing the elements of the array
       *  indicated by the slice argument.  The new valarray has the same size
       *  as the input slice.  @see slice.
       *
       *  @param  __s  The source slice.
       *  @return  New valarray containing elements in @a __s.
       */
      _Expr&lt;_SClos&lt;_ValArray, _Tp&gt;, _Tp&gt; operator[](slice __s) const;

      /**
       *  @brief  Return a reference to an array subset.
       *
       *  Returns a new valarray containing the elements of the array
       *  indicated by the slice argument.  The new valarray has the same size
       *  as the input slice.  @see slice.
       *
       *  @param  __s  The source slice.
       *  @return  New valarray containing elements in @a __s.
       */
      slice_array&lt;_Tp&gt;    operator[](slice __s);

      /**
       *  @brief  Return an array subset.
       *
       *  Returns a slice_array referencing the elements of the array
       *  indicated by the slice argument.  @see gslice.
       *
       *  @param  __s  The source slice.
       *  @return  Slice_array referencing elements indicated by @a __s.
       */
      _Expr&lt;_GClos&lt;_ValArray, _Tp&gt;, _Tp&gt; operator[](const gslice&amp; __s) const;

      /**
       *  @brief  Return a reference to an array subset.
       *
       *  Returns a new valarray containing the elements of the array
       *  indicated by the gslice argument.  The new valarray has
       *  the same size as the input gslice.  @see gslice.
       *
       *  @param  __s  The source gslice.
       *  @return  New valarray containing elements in @a __s.
       */
      gslice_array&lt;_Tp&gt;   operator[](const gslice&amp; __s);

      /**
       *  @brief  Return an array subset.
       *
       *  Returns a new valarray containing the elements of the array
       *  indicated by the argument.  The input is a valarray of bool which
       *  represents a bitmask indicating which elements should be copied into
       *  the new valarray.  Each element of the array is added to the return
       *  valarray if the corresponding element of the argument is true.
       *
       *  @param  __m  The valarray bitmask.
       *  @return  New valarray containing elements indicated by @a __m.
       */
      valarray&lt;_Tp&gt;       operator[](const valarray&lt;bool&gt;&amp; __m) const;

      /**
       *  @brief  Return a reference to an array subset.
       *
       *  Returns a new mask_array referencing the elements of the array
       *  indicated by the argument.  The input is a valarray of bool which
       *  represents a bitmask indicating which elements are part of the
       *  subset.  Elements of the array are part of the subset if the
       *  corresponding element of the argument is true.
       *
       *  @param  __m  The valarray bitmask.
       *  @return  New valarray containing elements indicated by @a __m.
       */
      mask_array&lt;_Tp&gt;     operator[](const valarray&lt;bool&gt;&amp; __m);

      /**
       *  @brief  Return an array subset.
       *
       *  Returns a new valarray containing the elements of the array
       *  indicated by the argument.  The elements in the argument are
       *  interpreted as the indices of elements of this valarray to copy to
       *  the return valarray.
       *
       *  @param  __i  The valarray element index list.
       *  @return  New valarray containing elements in @a __s.
       */
      _Expr&lt;_IClos&lt;_ValArray, _Tp&gt;, _Tp&gt;
        operator[](const valarray&lt;size_t&gt;&amp; __i) const;

      /**
       *  @brief  Return a reference to an array subset.
       *
       *  Returns an indirect_array referencing the elements of the array
       *  indicated by the argument.  The elements in the argument are
       *  interpreted as the indices of elements of this valarray to include
       *  in the subset.  The returned indirect_array refers to these
       *  elements.
       *
       *  @param  __i  The valarray element index list.
       *  @return  Indirect_array referencing elements in @a __i.
       */
      indirect_array&lt;_Tp&gt; operator[](const valarray&lt;size_t&gt;&amp; __i);

      // _lib.valarray.unary_ unary operators:
      ///  Return a new valarray by applying unary + to each element.
      typename _UnaryOp&lt;__unary_plus&gt;::_Rt  operator+() const;

      ///  Return a new valarray by applying unary - to each element.
      typename _UnaryOp&lt;__negate&gt;::_Rt      operator-() const;

      ///  Return a new valarray by applying unary ~ to each element.
      typename _UnaryOp&lt;__bitwise_not&gt;::_Rt operator~() const;

      ///  Return a new valarray by applying unary ! to each element.
      typename _UnaryOp&lt;__logical_not&gt;::_Rt operator!() const;

      // _lib.valarray.cassign_ computed assignment:
      ///  Multiply each element of array by @a t.
      valarray&lt;_Tp&gt;&amp; operator*=(const _Tp&amp;);

      ///  Divide each element of array by @a t.
      valarray&lt;_Tp&gt;&amp; operator/=(const _Tp&amp;);

      ///  Set each element e of array to e % @a t.
      valarray&lt;_Tp&gt;&amp; operator%=(const _Tp&amp;);

      ///  Add @a t to each element of array.
      valarray&lt;_Tp&gt;&amp; operator+=(const _Tp&amp;);

      ///  Subtract @a t to each element of array.
      valarray&lt;_Tp&gt;&amp; operator-=(const _Tp&amp;);

      ///  Set each element e of array to e ^ @a t.
      valarray&lt;_Tp&gt;&amp; operator^=(const _Tp&amp;);

      ///  Set each element e of array to e &amp; @a t.
      valarray&lt;_Tp&gt;&amp; operator&amp;=(const _Tp&amp;);

      ///  Set each element e of array to e | @a t.
      valarray&lt;_Tp&gt;&amp; operator|=(const _Tp&amp;);

      ///  Left shift each element e of array by @a t bits.
      valarray&lt;_Tp&gt;&amp; operator&lt;&lt;=(const _Tp&amp;);

      ///  Right shift each element e of array by @a t bits.
      valarray&lt;_Tp&gt;&amp; operator&gt;&gt;=(const _Tp&amp;);

      ///  Multiply elements of array by corresponding elements of @a v.
      valarray&lt;_Tp&gt;&amp; operator*=(const valarray&lt;_Tp&gt;&amp;);

      ///  Divide elements of array by corresponding elements of @a v.
      valarray&lt;_Tp&gt;&amp; operator/=(const valarray&lt;_Tp&gt;&amp;);

      ///  Modulo elements of array by corresponding elements of @a v.
      valarray&lt;_Tp&gt;&amp; operator%=(const valarray&lt;_Tp&gt;&amp;);

      ///  Add corresponding elements of @a v to elements of array.
      valarray&lt;_Tp&gt;&amp; operator+=(const valarray&lt;_Tp&gt;&amp;);

      ///  Subtract corresponding elements of @a v from elements of array.
      valarray&lt;_Tp&gt;&amp; operator-=(const valarray&lt;_Tp&gt;&amp;);

      ///  Logical xor corresponding elements of @a v with elements of array.
      valarray&lt;_Tp&gt;&amp; operator^=(const valarray&lt;_Tp&gt;&amp;);

      ///  Logical or corresponding elements of @a v with elements of array.
      valarray&lt;_Tp&gt;&amp; operator|=(const valarray&lt;_Tp&gt;&amp;);

      ///  Logical and corresponding elements of @a v with elements of array.
      valarray&lt;_Tp&gt;&amp; operator&amp;=(const valarray&lt;_Tp&gt;&amp;);

      ///  Left shift elements of array by corresponding elements of @a v.
      valarray&lt;_Tp&gt;&amp; operator&lt;&lt;=(const valarray&lt;_Tp&gt;&amp;);

      ///  Right shift elements of array by corresponding elements of @a v.
      valarray&lt;_Tp&gt;&amp; operator&gt;&gt;=(const valarray&lt;_Tp&gt;&amp;);

      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator*=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator/=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator%=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator+=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator-=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator^=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator|=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator&amp;=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
        valarray&lt;_Tp&gt;&amp; operator&lt;&lt;=(const _Expr&lt;_Dom, _Tp&gt;&amp;);
      template&lt;class _Dom&gt;
	valarray&lt;_Tp&gt;&amp; operator&gt;&gt;=(const _Expr&lt;_Dom, _Tp&gt;&amp;);

      // _lib.valarray.members_ member functions:
#if __cplusplus &gt;= 201103L
      ///  Swap.
      void swap(valarray&lt;_Tp&gt;&amp; __v) noexcept;
#endif

      ///  Return the number of elements in array.
      size_t size() const;

      /**
       *  @brief  Return the sum of all elements in the array.
       *
       *  Accumulates the sum of all elements into a Tp using +=.  The order
       *  of adding the elements is unspecified.
       */
      _Tp    sum() const;

      ///  Return the minimum element using operator&lt;().
      _Tp    min() const;

      ///  Return the maximum element using operator&lt;().
      _Tp    max() const;

      /**
       *  @brief  Return a shifted array.
       *
       *  A new valarray is constructed as a copy of this array with elements
       *  in shifted positions.  For an element with index i, the new position
       *  is i - n.  The new valarray has the same size as the current one.
       *  New elements without a value are set to 0.  Elements whose new
       *  position is outside the bounds of the array are discarded.
       *
       *  Positive arguments shift toward index 0, discarding elements [0, n).
       *  Negative arguments discard elements from the top of the array.
       *
       *  @param  __n  Number of element positions to shift.
       *  @return  New valarray with elements in shifted positions.
       */
      valarray&lt;_Tp&gt; shift (int __n) const;

      /**
       *  @brief  Return a rotated array.
       *
       *  A new valarray is constructed as a copy of this array with elements
       *  in shifted positions.  For an element with index i, the new position
       *  is (i - n) % size().  The new valarray has the same size as the
       *  current one.  Elements that are shifted beyond the array bounds are
       *  shifted into the other end of the array.  No elements are lost.
       *
       *  Positive arguments shift toward index 0, wrapping around the top.
       *  Negative arguments shift towards the top, wrapping around to 0.
       *
       *  @param  __n  Number of element positions to rotate.
       *  @return  New valarray with elements in shifted positions.
       */
      valarray&lt;_Tp&gt; cshift(int __n) const;

      /**
       *  @brief  Apply a function to the array.
       *
       *  Returns a new valarray with elements assigned to the result of
       *  applying func to the corresponding element of this array.  The new
       *  array has the same size as this one.
       *
       *  @param  func  Function of Tp returning Tp to apply.
       *  @return  New valarray with transformed elements.
       */
      _Expr&lt;_ValFunClos&lt;_ValArray, _Tp&gt;, _Tp&gt; apply(_Tp func(_Tp)) const;

      /**
       *  @brief  Apply a function to the array.
       *
       *  Returns a new valarray with elements assigned to the result of
       *  applying func to the corresponding element of this array.  The new
       *  array has the same size as this one.
       *
       *  @param  func  Function of const Tp&amp; returning Tp to apply.
       *  @return  New valarray with transformed elements.
       */
      _Expr&lt;_RefFunClos&lt;_ValArray, _Tp&gt;, _Tp&gt; apply(_Tp func(const _Tp&amp;)) const;

      /**
       *  @brief  Resize array.
       *
       *  Resize this array to @a size and set all elements to @a c.  All
       *  references and iterators are invalidated.
       *
       *  @param  __size  New array size.
       *  @param  __c  New value for all elements.
       */
      void resize(size_t __size, _Tp __c = _Tp());

    private:
      size_t _M_size;
      _Tp* __restrict__ _M_data;

      friend class _Array&lt;_Tp&gt;;
    };

#if __cpp_deduction_guides &gt;= 201606
  template&lt;typename _Tp, size_t _Nm&gt;
    valarray(const _Tp(&amp;)[_Nm], size_t) -&gt; valarray&lt;_Tp&gt;;
#endif

  template&lt;typename _Tp&gt;
    inline const _Tp&amp;
    valarray&lt;_Tp&gt;::operator[](size_t __i) const
    {
      __glibcxx_requires_subscript(__i);
      return _M_data[__i];
    }

  template&lt;typename _Tp&gt;
    inline _Tp&amp;
    valarray&lt;_Tp&gt;::operator[](size_t __i)
    {
      __glibcxx_requires_subscript(__i);
      return _M_data[__i];
    }

  // @} group numeric_arrays

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#include &lt;bits/valarray_after.h&gt;
#include &lt;bits/slice_array.h&gt;
#include &lt;bits/gslice.h&gt;
#include &lt;bits/gslice_array.h&gt;
#include &lt;bits/mask_array.h&gt;
#include &lt;bits/indirect_array.h&gt;

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  /**
   * @addtogroup numeric_arrays
   * @{
   */

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray() : _M_size(0), _M_data(0) {}

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(size_t __n)
    : _M_size(__n), _M_data(__valarray_get_storage&lt;_Tp&gt;(__n))
    { std::__valarray_default_construct(_M_data, _M_data + __n); }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const _Tp&amp; __t, size_t __n)
    : _M_size(__n), _M_data(__valarray_get_storage&lt;_Tp&gt;(__n))
    { std::__valarray_fill_construct(_M_data, _M_data + __n, __t); }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const _Tp* __restrict__ __p, size_t __n)
    : _M_size(__n), _M_data(__valarray_get_storage&lt;_Tp&gt;(__n))
    {
      __glibcxx_assert(__p != 0 || __n == 0);
      std::__valarray_copy_construct(__p, __p + __n, _M_data);
    }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const valarray&lt;_Tp&gt;&amp; __v)
    : _M_size(__v._M_size), _M_data(__valarray_get_storage&lt;_Tp&gt;(__v._M_size))
    { std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
				     _M_data); }

#if __cplusplus &gt;= 201103L
  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(valarray&lt;_Tp&gt;&amp;&amp; __v) noexcept
    : _M_size(__v._M_size), _M_data(__v._M_data)
    {
      __v._M_size = 0;
      __v._M_data = 0;
    }
#endif

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const slice_array&lt;_Tp&gt;&amp; __sa)
    : _M_size(__sa._M_sz), _M_data(__valarray_get_storage&lt;_Tp&gt;(__sa._M_sz))
    {
      std::__valarray_copy_construct
	(__sa._M_array, __sa._M_sz, __sa._M_stride, _Array&lt;_Tp&gt;(_M_data));
    }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const gslice_array&lt;_Tp&gt;&amp; __ga)
    : _M_size(__ga._M_index.size()),
      _M_data(__valarray_get_storage&lt;_Tp&gt;(_M_size))
    {
      std::__valarray_copy_construct
	(__ga._M_array, _Array&lt;size_t&gt;(__ga._M_index),
	 _Array&lt;_Tp&gt;(_M_data), _M_size);
    }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const mask_array&lt;_Tp&gt;&amp; __ma)
    : _M_size(__ma._M_sz), _M_data(__valarray_get_storage&lt;_Tp&gt;(__ma._M_sz))
    {
      std::__valarray_copy_construct
	(__ma._M_array, __ma._M_mask, _Array&lt;_Tp&gt;(_M_data), _M_size);
    }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const indirect_array&lt;_Tp&gt;&amp; __ia)
    : _M_size(__ia._M_sz), _M_data(__valarray_get_storage&lt;_Tp&gt;(__ia._M_sz))
    {
      std::__valarray_copy_construct
	(__ia._M_array, __ia._M_index, _Array&lt;_Tp&gt;(_M_data), _M_size);
    }

#if __cplusplus &gt;= 201103L
  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(initializer_list&lt;_Tp&gt; __l)
    : _M_size(__l.size()), _M_data(__valarray_get_storage&lt;_Tp&gt;(__l.size()))
    { std::__valarray_copy_construct(__l.begin(), __l.end(), _M_data); }
#endif

  template&lt;typename _Tp&gt; template&lt;class _Dom&gt;
    inline
    valarray&lt;_Tp&gt;::valarray(const _Expr&lt;_Dom, _Tp&gt;&amp; __e)
    : _M_size(__e.size()), _M_data(__valarray_get_storage&lt;_Tp&gt;(_M_size))
    { std::__valarray_copy_construct(__e, _M_size, _Array&lt;_Tp&gt;(_M_data)); }

  template&lt;typename _Tp&gt;
    inline
    valarray&lt;_Tp&gt;::~valarray() _GLIBCXX_NOEXCEPT
    {
      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
      std::__valarray_release_memory(_M_data);
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const valarray&lt;_Tp&gt;&amp; __v)
    {
      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 630. arrays of valarray.
      if (_M_size == __v._M_size)
	std::__valarray_copy(__v._M_data, _M_size, _M_data);
      else
	{
	  if (_M_data)
	    {
	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
	      std::__valarray_release_memory(_M_data);
	    }
	  _M_size = __v._M_size;
	  _M_data = __valarray_get_storage&lt;_Tp&gt;(_M_size);
	  std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
					 _M_data);
	}
      return *this;
    }

#if __cplusplus &gt;= 201103L
  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(valarray&lt;_Tp&gt;&amp;&amp; __v) noexcept
    {
      if (_M_data)
	{
	  std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
	  std::__valarray_release_memory(_M_data);
	}
      _M_size = __v._M_size;
      _M_data = __v._M_data;
      __v._M_size = 0;
      __v._M_data = 0;
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(initializer_list&lt;_Tp&gt; __l)
    {
      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 630. arrays of valarray.
      if (_M_size == __l.size())
	std::__valarray_copy(__l.begin(), __l.size(), _M_data);
      else
	{
	  if (_M_data)
	    {
	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
	      std::__valarray_release_memory(_M_data);
	    }
	  _M_size = __l.size();
	  _M_data = __valarray_get_storage&lt;_Tp&gt;(_M_size);
	  std::__valarray_copy_construct(__l.begin(), __l.begin() + _M_size,
					 _M_data);
	}
      return *this;
    }
#endif

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const _Tp&amp; __t)
    {
      std::__valarray_fill(_M_data, _M_size, __t);
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const slice_array&lt;_Tp&gt;&amp; __sa)
    {
      __glibcxx_assert(_M_size == __sa._M_sz);
      std::__valarray_copy(__sa._M_array, __sa._M_sz,
			   __sa._M_stride, _Array&lt;_Tp&gt;(_M_data));
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const gslice_array&lt;_Tp&gt;&amp; __ga)
    {
      __glibcxx_assert(_M_size == __ga._M_index.size());
      std::__valarray_copy(__ga._M_array, _Array&lt;size_t&gt;(__ga._M_index),
			   _Array&lt;_Tp&gt;(_M_data), _M_size);
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const mask_array&lt;_Tp&gt;&amp; __ma)
    {
      __glibcxx_assert(_M_size == __ma._M_sz);
      std::__valarray_copy(__ma._M_array, __ma._M_mask,
			   _Array&lt;_Tp&gt;(_M_data), _M_size);
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const indirect_array&lt;_Tp&gt;&amp; __ia)
    {
      __glibcxx_assert(_M_size == __ia._M_sz);
      std::__valarray_copy(__ia._M_array, __ia._M_index,
			   _Array&lt;_Tp&gt;(_M_data), _M_size);
      return *this;
    }

  template&lt;typename _Tp&gt; template&lt;class _Dom&gt;
    inline valarray&lt;_Tp&gt;&amp;
    valarray&lt;_Tp&gt;::operator=(const _Expr&lt;_Dom, _Tp&gt;&amp; __e)
    {
      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 630. arrays of valarray.
      if (_M_size == __e.size())
	std::__valarray_copy(__e, _M_size, _Array&lt;_Tp&gt;(_M_data));
      else
	{
	  if (_M_data)
	    {
	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
	      std::__valarray_release_memory(_M_data);
	    }
	  _M_size = __e.size();
	  _M_data = __valarray_get_storage&lt;_Tp&gt;(_M_size);
	  std::__valarray_copy_construct(__e, _M_size, _Array&lt;_Tp&gt;(_M_data));
	}
      return *this;
    }

  template&lt;typename _Tp&gt;
    inline _Expr&lt;_SClos&lt;_ValArray,_Tp&gt;, _Tp&gt;
    valarray&lt;_Tp&gt;::operator[](slice __s) const
    {
      typedef _SClos&lt;_ValArray,_Tp&gt; _Closure;
      return _Expr&lt;_Closure, _Tp&gt;(_Closure (_Array&lt;_Tp&gt;(_M_data), __s));
    }

  template&lt;typename _Tp&gt;
    inline slice_array&lt;_Tp&gt;
    valarray&lt;_Tp&gt;::operator[](slice __s)
    { return slice_array&lt;_Tp&gt;(_Array&lt;_Tp&gt;(_M_data), __s); }

  template&lt;typename _Tp&gt;
    inline _Expr&lt;_GClos&lt;_ValArray,_Tp&gt;, _Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const gslice&amp; __gs) const
    {
      typedef _GClos&lt;_ValArray,_Tp&gt; _Closure;
      return _Expr&lt;_Closure, _Tp&gt;
	(_Closure(_Array&lt;_Tp&gt;(_M_data), __gs._M_index-&gt;_M_index));
    }

  template&lt;typename _Tp&gt;
    inline gslice_array&lt;_Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const gslice&amp; __gs)
    {
      return gslice_array&lt;_Tp&gt;
	(_Array&lt;_Tp&gt;(_M_data), __gs._M_index-&gt;_M_index);
    }

  template&lt;typename _Tp&gt;
    inline valarray&lt;_Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const valarray&lt;bool&gt;&amp; __m) const
    {
      size_t __s = 0;
      size_t __e = __m.size();
      for (size_t __i=0; __i&lt;__e; ++__i)
	if (__m[__i]) ++__s;
      return valarray&lt;_Tp&gt;(mask_array&lt;_Tp&gt;(_Array&lt;_Tp&gt;(_M_data), __s,
					   _Array&lt;bool&gt; (__m)));
    }

  template&lt;typename _Tp&gt;
    inline mask_array&lt;_Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const valarray&lt;bool&gt;&amp; __m)
    {
      size_t __s = 0;
      size_t __e = __m.size();
      for (size_t __i=0; __i&lt;__e; ++__i)
	if (__m[__i]) ++__s;
      return mask_array&lt;_Tp&gt;(_Array&lt;_Tp&gt;(_M_data), __s, _Array&lt;bool&gt;(__m));
    }

  template&lt;typename _Tp&gt;
    inline _Expr&lt;_IClos&lt;_ValArray,_Tp&gt;, _Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const valarray&lt;size_t&gt;&amp; __i) const
    {
      typedef _IClos&lt;_ValArray,_Tp&gt; _Closure;
      return _Expr&lt;_Closure, _Tp&gt;(_Closure(*this, __i));
    }

  template&lt;typename _Tp&gt;
    inline indirect_array&lt;_Tp&gt;
    valarray&lt;_Tp&gt;::operator[](const valarray&lt;size_t&gt;&amp; __i)
    {
      return indirect_array&lt;_Tp&gt;(_Array&lt;_Tp&gt;(_M_data), __i.size(),
				 _Array&lt;size_t&gt;(__i));
    }

#if __cplusplus &gt;= 201103L
  template&lt;class _Tp&gt;
    inline void
    valarray&lt;_Tp&gt;::swap(valarray&lt;_Tp&gt;&amp; __v) noexcept
    {
      std::swap(_M_size, __v._M_size);
      std::swap(_M_data, __v._M_data);
    }
#endif

  template&lt;class _Tp&gt;
    inline size_t
    valarray&lt;_Tp&gt;::size() const
    { return _M_size; }

  template&lt;class _Tp&gt;
    inline _Tp
    valarray&lt;_Tp&gt;::sum() const
    {
      __glibcxx_assert(_M_size &gt; 0);
      return std::__valarray_sum(_M_data, _M_data + _M_size);
    }

  template&lt;class _Tp&gt;
     inline valarray&lt;_Tp&gt;
     valarray&lt;_Tp&gt;::shift(int __n) const
     {
       valarray&lt;_Tp&gt; __ret;

       if (_M_size == 0)
	 return __ret;

       _Tp* __restrict__ __tmp_M_data =
	 std::__valarray_get_storage&lt;_Tp&gt;(_M_size);

       if (__n == 0)
	 std::__valarray_copy_construct(_M_data,
					_M_data + _M_size, __tmp_M_data);
       else if (__n &gt; 0)      // shift left
	 {
	   if (size_t(__n) &gt; _M_size)
	     __n = int(_M_size);

	   std::__valarray_copy_construct(_M_data + __n,
					  _M_data + _M_size, __tmp_M_data);
	   std::__valarray_default_construct(__tmp_M_data + _M_size - __n,
					     __tmp_M_data + _M_size);
	 }
       else                   // shift right
	 {
	   if (-size_t(__n) &gt; _M_size)
	     __n = -int(_M_size);

	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
					  __tmp_M_data - __n);
	   std::__valarray_default_construct(__tmp_M_data,
					     __tmp_M_data - __n);
	 }

       __ret._M_size = _M_size;
       __ret._M_data = __tmp_M_data;
       return __ret;
     }

  template&lt;class _Tp&gt;
     inline valarray&lt;_Tp&gt;
     valarray&lt;_Tp&gt;::cshift(int __n) const
     {
       valarray&lt;_Tp&gt; __ret;

       if (_M_size == 0)
	 return __ret;

       _Tp* __restrict__ __tmp_M_data =
	 std::__valarray_get_storage&lt;_Tp&gt;(_M_size);

       if (__n == 0)
	 std::__valarray_copy_construct(_M_data,
					_M_data + _M_size, __tmp_M_data);
       else if (__n &gt; 0)      // cshift left
	 {
	   if (size_t(__n) &gt; _M_size)
	     __n = int(__n % _M_size);

	   std::__valarray_copy_construct(_M_data, _M_data + __n,
					  __tmp_M_data + _M_size - __n);
	   std::__valarray_copy_construct(_M_data + __n, _M_data + _M_size,
					  __tmp_M_data);
	 }
       else                   // cshift right
	 {
	   if (-size_t(__n) &gt; _M_size)
	     __n = -int(-size_t(__n) % _M_size);

	   std::__valarray_copy_construct(_M_data + _M_size + __n,
					  _M_data + _M_size, __tmp_M_data);
	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
					  __tmp_M_data - __n);
	 }

       __ret._M_size = _M_size;
       __ret._M_data = __tmp_M_data;
       return __ret;
     }

  template&lt;class _Tp&gt;
    inline void
    valarray&lt;_Tp&gt;::resize(size_t __n, _Tp __c)
    {
      // This complication is so to make valarray&lt;valarray&lt;T&gt; &gt; work
      // even though it is not required by the standard.  Nobody should
      // be saying valarray&lt;valarray&lt;T&gt; &gt; anyway.  See the specs.
      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
      if (_M_size != __n)
	{
	  std::__valarray_release_memory(_M_data);
	  _M_size = __n;
	  _M_data = __valarray_get_storage&lt;_Tp&gt;(__n);
	}
      std::__valarray_fill_construct(_M_data, _M_data + __n, __c);
    }

  template&lt;typename _Tp&gt;
    inline _Tp
    valarray&lt;_Tp&gt;::min() const
    {
      __glibcxx_assert(_M_size &gt; 0);
      return *std::min_element(_M_data, _M_data + _M_size);
    }

  template&lt;typename _Tp&gt;
    inline _Tp
    valarray&lt;_Tp&gt;::max() const
    {
      __glibcxx_assert(_M_size &gt; 0);
      return *std::max_element(_M_data, _M_data + _M_size);
    }

  template&lt;class _Tp&gt;
    inline _Expr&lt;_ValFunClos&lt;_ValArray, _Tp&gt;, _Tp&gt;
    valarray&lt;_Tp&gt;::apply(_Tp func(_Tp)) const
    {
      typedef _ValFunClos&lt;_ValArray, _Tp&gt; _Closure;
      return _Expr&lt;_Closure, _Tp&gt;(_Closure(*this, func));
    }

  template&lt;class _Tp&gt;
    inline _Expr&lt;_RefFunClos&lt;_ValArray, _Tp&gt;, _Tp&gt;
    valarray&lt;_Tp&gt;::apply(_Tp func(const _Tp &amp;)) const
    {
      typedef _RefFunClos&lt;_ValArray, _Tp&gt; _Closure;
      return _Expr&lt;_Closure, _Tp&gt;(_Closure(*this, func));
    }

#define _DEFINE_VALARRAY_UNARY_OPERATOR(_Op, _Name)                     \
  template&lt;typename _Tp&gt;						\
    inline typename valarray&lt;_Tp&gt;::template _UnaryOp&lt;_Name&gt;::_Rt      	\
    valarray&lt;_Tp&gt;::operator _Op() const					\
    {									\
      typedef _UnClos&lt;_Name, _ValArray, _Tp&gt; _Closure;	                \
      typedef typename __fun&lt;_Name, _Tp&gt;::result_type _Rt;              \
      return _Expr&lt;_Closure, _Rt&gt;(_Closure(*this));			\
    }

    _DEFINE_VALARRAY_UNARY_OPERATOR(+, __unary_plus)
    _DEFINE_VALARRAY_UNARY_OPERATOR(-, __negate)
    _DEFINE_VALARRAY_UNARY_OPERATOR(~, __bitwise_not)
    _DEFINE_VALARRAY_UNARY_OPERATOR (!, __logical_not)

#undef _DEFINE_VALARRAY_UNARY_OPERATOR

#define _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(_Op, _Name)               \
  template&lt;class _Tp&gt;							\
    inline valarray&lt;_Tp&gt;&amp;						\
    valarray&lt;_Tp&gt;::operator _Op##=(const _Tp &amp;__t)			\
    {									\
      _Array_augmented_##_Name(_Array&lt;_Tp&gt;(_M_data), _M_size, __t);	\
      return *this;							\
    }									\
									\
  template&lt;class _Tp&gt;							\
    inline valarray&lt;_Tp&gt;&amp;						\
    valarray&lt;_Tp&gt;::operator _Op##=(const valarray&lt;_Tp&gt; &amp;__v)		\
    {									\
      __glibcxx_assert(_M_size == __v._M_size);				\
      _Array_augmented_##_Name(_Array&lt;_Tp&gt;(_M_data), _M_size, 		\
			       _Array&lt;_Tp&gt;(__v._M_data));		\
      return *this;							\
    }

_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(+, __plus)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(-, __minus)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(*, __multiplies)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(/, __divides)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(%, __modulus)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&amp;, __bitwise_and)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&lt;&lt;, __shift_left)
_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&gt;&gt;, __shift_right)

#undef _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT

#define _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(_Op, _Name)          \
  template&lt;class _Tp&gt; template&lt;class _Dom&gt;				\
    inline valarray&lt;_Tp&gt;&amp;						\
    valarray&lt;_Tp&gt;::operator _Op##=(const _Expr&lt;_Dom, _Tp&gt;&amp; __e)		\
    {									\
      _Array_augmented_##_Name(_Array&lt;_Tp&gt;(_M_data), __e, _M_size);	\
      return *this;							\
    }

_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(+, __plus)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(-, __minus)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(*, __multiplies)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(/, __divides)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(%, __modulus)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&amp;, __bitwise_and)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&lt;&lt;, __shift_left)
_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&gt;&gt;, __shift_right)

#undef _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT


#define _DEFINE_BINARY_OPERATOR(_Op, _Name)				\
  template&lt;typename _Tp&gt;						\
    inline _Expr&lt;_BinClos&lt;_Name, _ValArray, _ValArray, _Tp, _Tp&gt;,       \
                 typename __fun&lt;_Name, _Tp&gt;::result_type&gt;               \
    operator _Op(const valarray&lt;_Tp&gt;&amp; __v, const valarray&lt;_Tp&gt;&amp; __w)	\
    {									\
      __glibcxx_assert(__v.size() == __w.size());                       \
      typedef _BinClos&lt;_Name, _ValArray, _ValArray, _Tp, _Tp&gt; _Closure; \
      typedef typename __fun&lt;_Name, _Tp&gt;::result_type _Rt;              \
      return _Expr&lt;_Closure, _Rt&gt;(_Closure(__v, __w));                  \
    }									\
									\
  template&lt;typename _Tp&gt;						\
    inline _Expr&lt;_BinClos&lt;_Name, _ValArray,_Constant, _Tp, _Tp&gt;,        \
                 typename __fun&lt;_Name, _Tp&gt;::result_type&gt;               \
    operator _Op(const valarray&lt;_Tp&gt;&amp; __v, const _Tp&amp; __t)		\
    {									\
      typedef _BinClos&lt;_Name, _ValArray, _Constant, _Tp, _Tp&gt; _Closure;	\
      typedef typename __fun&lt;_Name, _Tp&gt;::result_type _Rt;              \
      return _Expr&lt;_Closure, _Rt&gt;(_Closure(__v, __t));	                \
    }									\
									\
  template&lt;typename _Tp&gt;						\
    inline _Expr&lt;_BinClos&lt;_Name, _Constant, _ValArray, _Tp, _Tp&gt;,       \
                 typename __fun&lt;_Name, _Tp&gt;::result_type&gt;               \
    operator _Op(const _Tp&amp; __t, const valarray&lt;_Tp&gt;&amp; __v)		\
    {									\
      typedef _BinClos&lt;_Name, _Constant, _ValArray, _Tp, _Tp&gt; _Closure; \
      typedef typename __fun&lt;_Name, _Tp&gt;::result_type _Rt;              \
      return _Expr&lt;_Closure, _Rt&gt;(_Closure(__t, __v));        	        \
    }

_DEFINE_BINARY_OPERATOR(+, __plus)
_DEFINE_BINARY_OPERATOR(-, __minus)
_DEFINE_BINARY_OPERATOR(*, __multiplies)
_DEFINE_BINARY_OPERATOR(/, __divides)
_DEFINE_BINARY_OPERATOR(%, __modulus)
_DEFINE_BINARY_OPERATOR(^, __bitwise_xor)
_DEFINE_BINARY_OPERATOR(&amp;, __bitwise_and)
_DEFINE_BINARY_OPERATOR(|, __bitwise_or)
_DEFINE_BINARY_OPERATOR(&lt;&lt;, __shift_left)
_DEFINE_BINARY_OPERATOR(&gt;&gt;, __shift_right)
_DEFINE_BINARY_OPERATOR(&amp;&amp;, __logical_and)
_DEFINE_BINARY_OPERATOR(||, __logical_or)
_DEFINE_BINARY_OPERATOR(==, __equal_to)
_DEFINE_BINARY_OPERATOR(!=, __not_equal_to)
_DEFINE_BINARY_OPERATOR(&lt;, __less)
_DEFINE_BINARY_OPERATOR(&gt;, __greater)
_DEFINE_BINARY_OPERATOR(&lt;=, __less_equal)
_DEFINE_BINARY_OPERATOR(&gt;=, __greater_equal)

#undef _DEFINE_BINARY_OPERATOR

#if __cplusplus &gt;= 201103L
  /**
   *  @brief  Return an iterator pointing to the first element of
   *          the valarray.
   *  @param  __va  valarray.
   */
  template&lt;class _Tp&gt;
    inline _Tp*
    begin(valarray&lt;_Tp&gt;&amp; __va)
    { return std::__addressof(__va[0]); }

  /**
   *  @brief  Return an iterator pointing to the first element of
   *          the const valarray.
   *  @param  __va  valarray.
   */
  template&lt;class _Tp&gt;
    inline const _Tp*
    begin(const valarray&lt;_Tp&gt;&amp; __va)
    { return std::__addressof(__va[0]); }

  /**
   *  @brief  Return an iterator pointing to one past the last element of
   *          the valarray.
   *  @param  __va  valarray.
   */
  template&lt;class _Tp&gt;
    inline _Tp*
    end(valarray&lt;_Tp&gt;&amp; __va)
    { return std::__addressof(__va[0]) + __va.size(); }

  /**
   *  @brief  Return an iterator pointing to one past the last element of
   *          the const valarray.
   *  @param  __va  valarray.
   */
  template&lt;class _Tp&gt;
    inline const _Tp*
    end(const valarray&lt;_Tp&gt;&amp; __va)
    { return std::__addressof(__va[0]) + __va.size(); }
#endif // C++11

  // @} group numeric_arrays

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#endif /* _GLIBCXX_VALARRAY */
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