1// The template and inlines for the -*- C++ -*- valarray class.
2
3// Copyright (C) 1997-2015 Free Software Foundation, Inc.
4//
5// This file is part of the GNU ISO C++ Library.  This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
8// Free Software Foundation; either version 3, or (at your option)
9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14// GNU General Public License for more details.
15
16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
19
20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23// <http://www.gnu.org/licenses/>.
24
25/** @file include/valarray
26 *  This is a Standard C++ Library header.
27 */
28
29// Written by Gabriel Dos Reis <Gabriel.Dos-Reis@DPTMaths.ENS-Cachan.Fr>
30
31#ifndef _GLIBCXX_VALARRAY
32#define _GLIBCXX_VALARRAY 1
33
34#pragma GCC system_header
35
36#include <bits/c++config.h>
37#include <cmath>
38#include <algorithm>
39#include <debug/debug.h>
40#if __cplusplus >= 201103L
41#include <initializer_list>
42#endif
43
44namespace std _GLIBCXX_VISIBILITY(default)
45{
46_GLIBCXX_BEGIN_NAMESPACE_VERSION
47
48  template<class _Clos, typename _Tp>
49    class _Expr;
50
51  template<typename _Tp1, typename _Tp2>
52    class _ValArray;
53
54  template<class _Oper, template<class, class> class _Meta, class _Dom>
55    struct _UnClos;
56
57  template<class _Oper,
58        template<class, class> class _Meta1,
59        template<class, class> class _Meta2,
60        class _Dom1, class _Dom2>
61    class _BinClos;
62
63  template<template<class, class> class _Meta, class _Dom>
64    class _SClos;
65
66  template<template<class, class> class _Meta, class _Dom>
67    class _GClos;
68
69  template<template<class, class> class _Meta, class _Dom>
70    class _IClos;
71
72  template<template<class, class> class _Meta, class _Dom>
73    class _ValFunClos;
74
75  template<template<class, class> class _Meta, class _Dom>
76    class _RefFunClos;
77
78  template<class _Tp> class valarray;   // An array of type _Tp
79  class slice;                          // BLAS-like slice out of an array
80  template<class _Tp> class slice_array;
81  class gslice;                         // generalized slice out of an array
82  template<class _Tp> class gslice_array;
83  template<class _Tp> class mask_array;     // masked array
84  template<class _Tp> class indirect_array; // indirected array
85
86_GLIBCXX_END_NAMESPACE_VERSION
87} // namespace
88
89#include <bits/valarray_array.h>
90#include <bits/valarray_before.h>
91
92namespace std _GLIBCXX_VISIBILITY(default)
93{
94_GLIBCXX_BEGIN_NAMESPACE_VERSION
95
96  /**
97   * @defgroup numeric_arrays Numeric Arrays
98   * @ingroup numerics
99   *
100   * Classes and functions for representing and manipulating arrays of elements.
101   * @{
102   */
103
104  /**
105   *  @brief  Smart array designed to support numeric processing.
106   *
107   *  A valarray is an array that provides constraints intended to allow for
108   *  effective optimization of numeric array processing by reducing the
109   *  aliasing that can result from pointer representations.  It represents a
110   *  one-dimensional array from which different multidimensional subsets can
111   *  be accessed and modified.
112   *
113   *  @tparam  _Tp  Type of object in the array.
114   */
115  template<class _Tp>
116    class valarray
117    {
118      template<class _Op>
119	struct _UnaryOp
120	{
121	  typedef typename __fun<_Op, _Tp>::result_type __rt;
122	  typedef _Expr<_UnClos<_Op, _ValArray, _Tp>, __rt> _Rt;
123	};
124    public:
125      typedef _Tp value_type;
126
127	// _lib.valarray.cons_ construct/destroy:
128      ///  Construct an empty array.
129      valarray();
130
131      ///  Construct an array with @a n elements.
132      explicit valarray(size_t);
133
134      ///  Construct an array with @a n elements initialized to @a t.
135      valarray(const _Tp&, size_t);
136
137      ///  Construct an array initialized to the first @a n elements of @a t.
138      valarray(const _Tp* __restrict__, size_t);
139
140      ///  Copy constructor.
141      valarray(const valarray&);
142
143#if __cplusplus >= 201103L
144      ///  Move constructor.
145      valarray(valarray&&) noexcept;
146#endif
147
148      ///  Construct an array with the same size and values in @a sa.
149      valarray(const slice_array<_Tp>&);
150
151      ///  Construct an array with the same size and values in @a ga.
152      valarray(const gslice_array<_Tp>&);
153
154      ///  Construct an array with the same size and values in @a ma.
155      valarray(const mask_array<_Tp>&);
156
157      ///  Construct an array with the same size and values in @a ia.
158      valarray(const indirect_array<_Tp>&);
159
160#if __cplusplus >= 201103L
161      ///  Construct an array with an initializer_list of values.
162      valarray(initializer_list<_Tp>);
163#endif
164
165      template<class _Dom>
166	valarray(const _Expr<_Dom, _Tp>& __e);
167
168      ~valarray() _GLIBCXX_NOEXCEPT;
169
170      // _lib.valarray.assign_ assignment:
171      /**
172       *  @brief  Assign elements to an array.
173       *
174       *  Assign elements of array to values in @a v.
175       *
176       *  @param  __v  Valarray to get values from.
177       */
178      valarray<_Tp>& operator=(const valarray<_Tp>& __v);
179
180#if __cplusplus >= 201103L
181      /**
182       *  @brief  Move assign elements to an array.
183       *
184       *  Move assign elements of array to values in @a v.
185       *
186       *  @param  __v  Valarray to get values from.
187       */
188      valarray<_Tp>& operator=(valarray<_Tp>&& __v) noexcept;
189#endif
190
191      /**
192       *  @brief  Assign elements to a value.
193       *
194       *  Assign all elements of array to @a t.
195       *
196       *  @param  __t  Value for elements.
197       */
198      valarray<_Tp>& operator=(const _Tp& __t);
199
200      /**
201       *  @brief  Assign elements to an array subset.
202       *
203       *  Assign elements of array to values in @a sa.  Results are undefined
204       *  if @a sa does not have the same size as this array.
205       *
206       *  @param  __sa  Array slice to get values from.
207       */
208      valarray<_Tp>& operator=(const slice_array<_Tp>& __sa);
209
210      /**
211       *  @brief  Assign elements to an array subset.
212       *
213       *  Assign elements of array to values in @a ga.  Results are undefined
214       *  if @a ga does not have the same size as this array.
215       *
216       *  @param  __ga  Array slice to get values from.
217       */
218      valarray<_Tp>& operator=(const gslice_array<_Tp>& __ga);
219
220      /**
221       *  @brief  Assign elements to an array subset.
222       *
223       *  Assign elements of array to values in @a ma.  Results are undefined
224       *  if @a ma does not have the same size as this array.
225       *
226       *  @param  __ma  Array slice to get values from.
227       */
228      valarray<_Tp>& operator=(const mask_array<_Tp>& __ma);
229
230      /**
231       *  @brief  Assign elements to an array subset.
232       *
233       *  Assign elements of array to values in @a ia.  Results are undefined
234       *  if @a ia does not have the same size as this array.
235       *
236       *  @param  __ia  Array slice to get values from.
237       */
238      valarray<_Tp>& operator=(const indirect_array<_Tp>& __ia);
239
240#if __cplusplus >= 201103L
241      /**
242       *  @brief  Assign elements to an initializer_list.
243       *
244       *  Assign elements of array to values in @a __l.  Results are undefined
245       *  if @a __l does not have the same size as this array.
246       *
247       *  @param  __l  initializer_list to get values from.
248       */
249      valarray& operator=(initializer_list<_Tp> __l);
250#endif
251
252      template<class _Dom> valarray<_Tp>&
253	operator= (const _Expr<_Dom, _Tp>&);
254
255      // _lib.valarray.access_ element access:
256      /**
257       *  Return a reference to the i'th array element.
258       *
259       *  @param  __i  Index of element to return.
260       *  @return  Reference to the i'th element.
261       */
262      _Tp&                operator[](size_t __i);
263
264      // _GLIBCXX_RESOLVE_LIB_DEFECTS
265      // 389. Const overload of valarray::operator[] returns by value.
266      const _Tp&          operator[](size_t) const;
267
268      // _lib.valarray.sub_ subset operations:
269      /**
270       *  @brief  Return an array subset.
271       *
272       *  Returns a new valarray containing the elements of the array
273       *  indicated by the slice argument.  The new valarray has the same size
274       *  as the input slice.  @see slice.
275       *
276       *  @param  __s  The source slice.
277       *  @return  New valarray containing elements in @a __s.
278       */
279      _Expr<_SClos<_ValArray, _Tp>, _Tp> operator[](slice __s) const;
280
281      /**
282       *  @brief  Return a reference to an array subset.
283       *
284       *  Returns a new valarray containing the elements of the array
285       *  indicated by the slice argument.  The new valarray has the same size
286       *  as the input slice.  @see slice.
287       *
288       *  @param  __s  The source slice.
289       *  @return  New valarray containing elements in @a __s.
290       */
291      slice_array<_Tp>    operator[](slice __s);
292
293      /**
294       *  @brief  Return an array subset.
295       *
296       *  Returns a slice_array referencing the elements of the array
297       *  indicated by the slice argument.  @see gslice.
298       *
299       *  @param  __s  The source slice.
300       *  @return  Slice_array referencing elements indicated by @a __s.
301       */
302      _Expr<_GClos<_ValArray, _Tp>, _Tp> operator[](const gslice& __s) const;
303
304      /**
305       *  @brief  Return a reference to an array subset.
306       *
307       *  Returns a new valarray containing the elements of the array
308       *  indicated by the gslice argument.  The new valarray has
309       *  the same size as the input gslice.  @see gslice.
310       *
311       *  @param  __s  The source gslice.
312       *  @return  New valarray containing elements in @a __s.
313       */
314      gslice_array<_Tp>   operator[](const gslice& __s);
315
316      /**
317       *  @brief  Return an array subset.
318       *
319       *  Returns a new valarray containing the elements of the array
320       *  indicated by the argument.  The input is a valarray of bool which
321       *  represents a bitmask indicating which elements should be copied into
322       *  the new valarray.  Each element of the array is added to the return
323       *  valarray if the corresponding element of the argument is true.
324       *
325       *  @param  __m  The valarray bitmask.
326       *  @return  New valarray containing elements indicated by @a __m.
327       */
328      valarray<_Tp>       operator[](const valarray<bool>& __m) const;
329
330      /**
331       *  @brief  Return a reference to an array subset.
332       *
333       *  Returns a new mask_array referencing the elements of the array
334       *  indicated by the argument.  The input is a valarray of bool which
335       *  represents a bitmask indicating which elements are part of the
336       *  subset.  Elements of the array are part of the subset if the
337       *  corresponding element of the argument is true.
338       *
339       *  @param  __m  The valarray bitmask.
340       *  @return  New valarray containing elements indicated by @a __m.
341       */
342      mask_array<_Tp>     operator[](const valarray<bool>& __m);
343
344      /**
345       *  @brief  Return an array subset.
346       *
347       *  Returns a new valarray containing the elements of the array
348       *  indicated by the argument.  The elements in the argument are
349       *  interpreted as the indices of elements of this valarray to copy to
350       *  the return valarray.
351       *
352       *  @param  __i  The valarray element index list.
353       *  @return  New valarray containing elements in @a __s.
354       */
355      _Expr<_IClos<_ValArray, _Tp>, _Tp>
356        operator[](const valarray<size_t>& __i) const;
357
358      /**
359       *  @brief  Return a reference to an array subset.
360       *
361       *  Returns an indirect_array referencing the elements of the array
362       *  indicated by the argument.  The elements in the argument are
363       *  interpreted as the indices of elements of this valarray to include
364       *  in the subset.  The returned indirect_array refers to these
365       *  elements.
366       *
367       *  @param  __i  The valarray element index list.
368       *  @return  Indirect_array referencing elements in @a __i.
369       */
370      indirect_array<_Tp> operator[](const valarray<size_t>& __i);
371
372      // _lib.valarray.unary_ unary operators:
373      ///  Return a new valarray by applying unary + to each element.
374      typename _UnaryOp<__unary_plus>::_Rt  operator+() const;
375
376      ///  Return a new valarray by applying unary - to each element.
377      typename _UnaryOp<__negate>::_Rt      operator-() const;
378
379      ///  Return a new valarray by applying unary ~ to each element.
380      typename _UnaryOp<__bitwise_not>::_Rt operator~() const;
381
382      ///  Return a new valarray by applying unary ! to each element.
383      typename _UnaryOp<__logical_not>::_Rt operator!() const;
384
385      // _lib.valarray.cassign_ computed assignment:
386      ///  Multiply each element of array by @a t.
387      valarray<_Tp>& operator*=(const _Tp&);
388
389      ///  Divide each element of array by @a t.
390      valarray<_Tp>& operator/=(const _Tp&);
391
392      ///  Set each element e of array to e % @a t.
393      valarray<_Tp>& operator%=(const _Tp&);
394
395      ///  Add @a t to each element of array.
396      valarray<_Tp>& operator+=(const _Tp&);
397
398      ///  Subtract @a t to each element of array.
399      valarray<_Tp>& operator-=(const _Tp&);
400
401      ///  Set each element e of array to e ^ @a t.
402      valarray<_Tp>& operator^=(const _Tp&);
403
404      ///  Set each element e of array to e & @a t.
405      valarray<_Tp>& operator&=(const _Tp&);
406
407      ///  Set each element e of array to e | @a t.
408      valarray<_Tp>& operator|=(const _Tp&);
409
410      ///  Left shift each element e of array by @a t bits.
411      valarray<_Tp>& operator<<=(const _Tp&);
412
413      ///  Right shift each element e of array by @a t bits.
414      valarray<_Tp>& operator>>=(const _Tp&);
415
416      ///  Multiply elements of array by corresponding elements of @a v.
417      valarray<_Tp>& operator*=(const valarray<_Tp>&);
418
419      ///  Divide elements of array by corresponding elements of @a v.
420      valarray<_Tp>& operator/=(const valarray<_Tp>&);
421
422      ///  Modulo elements of array by corresponding elements of @a v.
423      valarray<_Tp>& operator%=(const valarray<_Tp>&);
424
425      ///  Add corresponding elements of @a v to elements of array.
426      valarray<_Tp>& operator+=(const valarray<_Tp>&);
427
428      ///  Subtract corresponding elements of @a v from elements of array.
429      valarray<_Tp>& operator-=(const valarray<_Tp>&);
430
431      ///  Logical xor corresponding elements of @a v with elements of array.
432      valarray<_Tp>& operator^=(const valarray<_Tp>&);
433
434      ///  Logical or corresponding elements of @a v with elements of array.
435      valarray<_Tp>& operator|=(const valarray<_Tp>&);
436
437      ///  Logical and corresponding elements of @a v with elements of array.
438      valarray<_Tp>& operator&=(const valarray<_Tp>&);
439
440      ///  Left shift elements of array by corresponding elements of @a v.
441      valarray<_Tp>& operator<<=(const valarray<_Tp>&);
442
443      ///  Right shift elements of array by corresponding elements of @a v.
444      valarray<_Tp>& operator>>=(const valarray<_Tp>&);
445
446      template<class _Dom>
447	valarray<_Tp>& operator*=(const _Expr<_Dom, _Tp>&);
448      template<class _Dom>
449	valarray<_Tp>& operator/=(const _Expr<_Dom, _Tp>&);
450      template<class _Dom>
451	valarray<_Tp>& operator%=(const _Expr<_Dom, _Tp>&);
452      template<class _Dom>
453	valarray<_Tp>& operator+=(const _Expr<_Dom, _Tp>&);
454      template<class _Dom>
455	valarray<_Tp>& operator-=(const _Expr<_Dom, _Tp>&);
456      template<class _Dom>
457	valarray<_Tp>& operator^=(const _Expr<_Dom, _Tp>&);
458      template<class _Dom>
459	valarray<_Tp>& operator|=(const _Expr<_Dom, _Tp>&);
460      template<class _Dom>
461	valarray<_Tp>& operator&=(const _Expr<_Dom, _Tp>&);
462      template<class _Dom>
463        valarray<_Tp>& operator<<=(const _Expr<_Dom, _Tp>&);
464      template<class _Dom>
465	valarray<_Tp>& operator>>=(const _Expr<_Dom, _Tp>&);
466
467      // _lib.valarray.members_ member functions:
468#if __cplusplus >= 201103L
469      ///  Swap.
470      void swap(valarray<_Tp>& __v) noexcept;
471#endif
472
473      ///  Return the number of elements in array.
474      size_t size() const;
475
476      /**
477       *  @brief  Return the sum of all elements in the array.
478       *
479       *  Accumulates the sum of all elements into a Tp using +=.  The order
480       *  of adding the elements is unspecified.
481       */
482      _Tp    sum() const;
483
484      ///  Return the minimum element using operator<().
485      _Tp    min() const;
486
487      ///  Return the maximum element using operator<().
488      _Tp    max() const;
489
490      /**
491       *  @brief  Return a shifted array.
492       *
493       *  A new valarray is constructed as a copy of this array with elements
494       *  in shifted positions.  For an element with index i, the new position
495       *  is i - n.  The new valarray has the same size as the current one.
496       *  New elements without a value are set to 0.  Elements whose new
497       *  position is outside the bounds of the array are discarded.
498       *
499       *  Positive arguments shift toward index 0, discarding elements [0, n).
500       *  Negative arguments discard elements from the top of the array.
501       *
502       *  @param  __n  Number of element positions to shift.
503       *  @return  New valarray with elements in shifted positions.
504       */
505      valarray<_Tp> shift (int __n) const;
506
507      /**
508       *  @brief  Return a rotated array.
509       *
510       *  A new valarray is constructed as a copy of this array with elements
511       *  in shifted positions.  For an element with index i, the new position
512       *  is (i - n) % size().  The new valarray has the same size as the
513       *  current one.  Elements that are shifted beyond the array bounds are
514       *  shifted into the other end of the array.  No elements are lost.
515       *
516       *  Positive arguments shift toward index 0, wrapping around the top.
517       *  Negative arguments shift towards the top, wrapping around to 0.
518       *
519       *  @param  __n  Number of element positions to rotate.
520       *  @return  New valarray with elements in shifted positions.
521       */
522      valarray<_Tp> cshift(int __n) const;
523
524      /**
525       *  @brief  Apply a function to the array.
526       *
527       *  Returns a new valarray with elements assigned to the result of
528       *  applying func to the corresponding element of this array.  The new
529       *  array has the same size as this one.
530       *
531       *  @param  func  Function of Tp returning Tp to apply.
532       *  @return  New valarray with transformed elements.
533       */
534      _Expr<_ValFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(_Tp)) const;
535
536      /**
537       *  @brief  Apply a function to the array.
538       *
539       *  Returns a new valarray with elements assigned to the result of
540       *  applying func to the corresponding element of this array.  The new
541       *  array has the same size as this one.
542       *
543       *  @param  func  Function of const Tp& returning Tp to apply.
544       *  @return  New valarray with transformed elements.
545       */
546      _Expr<_RefFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(const _Tp&)) const;
547
548      /**
549       *  @brief  Resize array.
550       *
551       *  Resize this array to @a size and set all elements to @a c.  All
552       *  references and iterators are invalidated.
553       *
554       *  @param  __size  New array size.
555       *  @param  __c  New value for all elements.
556       */
557      void resize(size_t __size, _Tp __c = _Tp());
558
559    private:
560      size_t _M_size;
561      _Tp* __restrict__ _M_data;
562
563      friend class _Array<_Tp>;
564    };
565
566  template<typename _Tp>
567    inline const _Tp&
568    valarray<_Tp>::operator[](size_t __i) const
569    {
570      __glibcxx_requires_subscript(__i);
571      return _M_data[__i];
572    }
573
574  template<typename _Tp>
575    inline _Tp&
576    valarray<_Tp>::operator[](size_t __i)
577    {
578      __glibcxx_requires_subscript(__i);
579      return _M_data[__i];
580    }
581
582  // @} group numeric_arrays
583
584_GLIBCXX_END_NAMESPACE_VERSION
585} // namespace
586
587#include <bits/valarray_after.h>
588#include <bits/slice_array.h>
589#include <bits/gslice.h>
590#include <bits/gslice_array.h>
591#include <bits/mask_array.h>
592#include <bits/indirect_array.h>
593
594namespace std _GLIBCXX_VISIBILITY(default)
595{
596_GLIBCXX_BEGIN_NAMESPACE_VERSION
597
598  /**
599   * @addtogroup numeric_arrays
600   * @{
601   */
602
603  template<typename _Tp>
604    inline
605    valarray<_Tp>::valarray() : _M_size(0), _M_data(0) {}
606
607  template<typename _Tp>
608    inline
609    valarray<_Tp>::valarray(size_t __n)
610    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
611    { std::__valarray_default_construct(_M_data, _M_data + __n); }
612
613  template<typename _Tp>
614    inline
615    valarray<_Tp>::valarray(const _Tp& __t, size_t __n)
616    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
617    { std::__valarray_fill_construct(_M_data, _M_data + __n, __t); }
618
619  template<typename _Tp>
620    inline
621    valarray<_Tp>::valarray(const _Tp* __restrict__ __p, size_t __n)
622    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
623    {
624      _GLIBCXX_DEBUG_ASSERT(__p != 0 || __n == 0);
625      std::__valarray_copy_construct(__p, __p + __n, _M_data);
626    }
627
628  template<typename _Tp>
629    inline
630    valarray<_Tp>::valarray(const valarray<_Tp>& __v)
631    : _M_size(__v._M_size), _M_data(__valarray_get_storage<_Tp>(__v._M_size))
632    { std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
633				     _M_data); }
634
635#if __cplusplus >= 201103L
636  template<typename _Tp>
637    inline
638    valarray<_Tp>::valarray(valarray<_Tp>&& __v) noexcept
639    : _M_size(__v._M_size), _M_data(__v._M_data)
640    {
641      __v._M_size = 0;
642      __v._M_data = 0;
643    }
644#endif
645
646  template<typename _Tp>
647    inline
648    valarray<_Tp>::valarray(const slice_array<_Tp>& __sa)
649    : _M_size(__sa._M_sz), _M_data(__valarray_get_storage<_Tp>(__sa._M_sz))
650    {
651      std::__valarray_copy_construct
652	(__sa._M_array, __sa._M_sz, __sa._M_stride, _Array<_Tp>(_M_data));
653    }
654
655  template<typename _Tp>
656    inline
657    valarray<_Tp>::valarray(const gslice_array<_Tp>& __ga)
658    : _M_size(__ga._M_index.size()),
659      _M_data(__valarray_get_storage<_Tp>(_M_size))
660    {
661      std::__valarray_copy_construct
662	(__ga._M_array, _Array<size_t>(__ga._M_index),
663	 _Array<_Tp>(_M_data), _M_size);
664    }
665
666  template<typename _Tp>
667    inline
668    valarray<_Tp>::valarray(const mask_array<_Tp>& __ma)
669    : _M_size(__ma._M_sz), _M_data(__valarray_get_storage<_Tp>(__ma._M_sz))
670    {
671      std::__valarray_copy_construct
672	(__ma._M_array, __ma._M_mask, _Array<_Tp>(_M_data), _M_size);
673    }
674
675  template<typename _Tp>
676    inline
677    valarray<_Tp>::valarray(const indirect_array<_Tp>& __ia)
678    : _M_size(__ia._M_sz), _M_data(__valarray_get_storage<_Tp>(__ia._M_sz))
679    {
680      std::__valarray_copy_construct
681	(__ia._M_array, __ia._M_index, _Array<_Tp>(_M_data), _M_size);
682    }
683
684#if __cplusplus >= 201103L
685  template<typename _Tp>
686    inline
687    valarray<_Tp>::valarray(initializer_list<_Tp> __l)
688    : _M_size(__l.size()), _M_data(__valarray_get_storage<_Tp>(__l.size()))
689    { std::__valarray_copy_construct(__l.begin(), __l.end(), _M_data); }
690#endif
691
692  template<typename _Tp> template<class _Dom>
693    inline
694    valarray<_Tp>::valarray(const _Expr<_Dom, _Tp>& __e)
695    : _M_size(__e.size()), _M_data(__valarray_get_storage<_Tp>(_M_size))
696    { std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data)); }
697
698  template<typename _Tp>
699    inline
700    valarray<_Tp>::~valarray() _GLIBCXX_NOEXCEPT
701    {
702      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
703      std::__valarray_release_memory(_M_data);
704    }
705
706  template<typename _Tp>
707    inline valarray<_Tp>&
708    valarray<_Tp>::operator=(const valarray<_Tp>& __v)
709    {
710      // _GLIBCXX_RESOLVE_LIB_DEFECTS
711      // 630. arrays of valarray.
712      if (_M_size == __v._M_size)
713	std::__valarray_copy(__v._M_data, _M_size, _M_data);
714      else
715	{
716	  if (_M_data)
717	    {
718	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
719	      std::__valarray_release_memory(_M_data);
720	    }
721	  _M_size = __v._M_size;
722	  _M_data = __valarray_get_storage<_Tp>(_M_size);
723	  std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
724					 _M_data);
725	}
726      return *this;
727    }
728
729#if __cplusplus >= 201103L
730  template<typename _Tp>
731    inline valarray<_Tp>&
732    valarray<_Tp>::operator=(valarray<_Tp>&& __v) noexcept
733    {
734      if (_M_data)
735	{
736	  std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
737	  std::__valarray_release_memory(_M_data);
738	}
739      _M_size = __v._M_size;
740      _M_data = __v._M_data;
741      __v._M_size = 0;
742      __v._M_data = 0;
743      return *this;
744    }
745
746  template<typename _Tp>
747    inline valarray<_Tp>&
748    valarray<_Tp>::operator=(initializer_list<_Tp> __l)
749    {
750      // _GLIBCXX_RESOLVE_LIB_DEFECTS
751      // 630. arrays of valarray.
752      if (_M_size == __l.size())
753	std::__valarray_copy(__l.begin(), __l.size(), _M_data);
754      else
755	{
756	  if (_M_data)
757	    {
758	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
759	      std::__valarray_release_memory(_M_data);
760	    }
761	  _M_size = __l.size();
762	  _M_data = __valarray_get_storage<_Tp>(_M_size);
763	  std::__valarray_copy_construct(__l.begin(), __l.begin() + _M_size,
764					 _M_data);
765	}
766      return *this;
767    }
768#endif
769
770  template<typename _Tp>
771    inline valarray<_Tp>&
772    valarray<_Tp>::operator=(const _Tp& __t)
773    {
774      std::__valarray_fill(_M_data, _M_size, __t);
775      return *this;
776    }
777
778  template<typename _Tp>
779    inline valarray<_Tp>&
780    valarray<_Tp>::operator=(const slice_array<_Tp>& __sa)
781    {
782      _GLIBCXX_DEBUG_ASSERT(_M_size == __sa._M_sz);
783      std::__valarray_copy(__sa._M_array, __sa._M_sz,
784			   __sa._M_stride, _Array<_Tp>(_M_data));
785      return *this;
786    }
787
788  template<typename _Tp>
789    inline valarray<_Tp>&
790    valarray<_Tp>::operator=(const gslice_array<_Tp>& __ga)
791    {
792      _GLIBCXX_DEBUG_ASSERT(_M_size == __ga._M_index.size());
793      std::__valarray_copy(__ga._M_array, _Array<size_t>(__ga._M_index),
794			   _Array<_Tp>(_M_data), _M_size);
795      return *this;
796    }
797
798  template<typename _Tp>
799    inline valarray<_Tp>&
800    valarray<_Tp>::operator=(const mask_array<_Tp>& __ma)
801    {
802      _GLIBCXX_DEBUG_ASSERT(_M_size == __ma._M_sz);
803      std::__valarray_copy(__ma._M_array, __ma._M_mask,
804			   _Array<_Tp>(_M_data), _M_size);
805      return *this;
806    }
807
808  template<typename _Tp>
809    inline valarray<_Tp>&
810    valarray<_Tp>::operator=(const indirect_array<_Tp>& __ia)
811    {
812      _GLIBCXX_DEBUG_ASSERT(_M_size == __ia._M_sz);
813      std::__valarray_copy(__ia._M_array, __ia._M_index,
814			   _Array<_Tp>(_M_data), _M_size);
815      return *this;
816    }
817
818  template<typename _Tp> template<class _Dom>
819    inline valarray<_Tp>&
820    valarray<_Tp>::operator=(const _Expr<_Dom, _Tp>& __e)
821    {
822      // _GLIBCXX_RESOLVE_LIB_DEFECTS
823      // 630. arrays of valarray.
824      if (_M_size == __e.size())
825	std::__valarray_copy(__e, _M_size, _Array<_Tp>(_M_data));
826      else
827	{
828	  if (_M_data)
829	    {
830	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
831	      std::__valarray_release_memory(_M_data);
832	    }
833	  _M_size = __e.size();
834	  _M_data = __valarray_get_storage<_Tp>(_M_size);
835	  std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data));
836	}
837      return *this;
838    }
839
840  template<typename _Tp>
841    inline _Expr<_SClos<_ValArray,_Tp>, _Tp>
842    valarray<_Tp>::operator[](slice __s) const
843    {
844      typedef _SClos<_ValArray,_Tp> _Closure;
845      return _Expr<_Closure, _Tp>(_Closure (_Array<_Tp>(_M_data), __s));
846    }
847
848  template<typename _Tp>
849    inline slice_array<_Tp>
850    valarray<_Tp>::operator[](slice __s)
851    { return slice_array<_Tp>(_Array<_Tp>(_M_data), __s); }
852
853  template<typename _Tp>
854    inline _Expr<_GClos<_ValArray,_Tp>, _Tp>
855    valarray<_Tp>::operator[](const gslice& __gs) const
856    {
857      typedef _GClos<_ValArray,_Tp> _Closure;
858      return _Expr<_Closure, _Tp>
859	(_Closure(_Array<_Tp>(_M_data), __gs._M_index->_M_index));
860    }
861
862  template<typename _Tp>
863    inline gslice_array<_Tp>
864    valarray<_Tp>::operator[](const gslice& __gs)
865    {
866      return gslice_array<_Tp>
867	(_Array<_Tp>(_M_data), __gs._M_index->_M_index);
868    }
869
870  template<typename _Tp>
871    inline valarray<_Tp>
872    valarray<_Tp>::operator[](const valarray<bool>& __m) const
873    {
874      size_t __s = 0;
875      size_t __e = __m.size();
876      for (size_t __i=0; __i<__e; ++__i)
877	if (__m[__i]) ++__s;
878      return valarray<_Tp>(mask_array<_Tp>(_Array<_Tp>(_M_data), __s,
879					   _Array<bool> (__m)));
880    }
881
882  template<typename _Tp>
883    inline mask_array<_Tp>
884    valarray<_Tp>::operator[](const valarray<bool>& __m)
885    {
886      size_t __s = 0;
887      size_t __e = __m.size();
888      for (size_t __i=0; __i<__e; ++__i)
889	if (__m[__i]) ++__s;
890      return mask_array<_Tp>(_Array<_Tp>(_M_data), __s, _Array<bool>(__m));
891    }
892
893  template<typename _Tp>
894    inline _Expr<_IClos<_ValArray,_Tp>, _Tp>
895    valarray<_Tp>::operator[](const valarray<size_t>& __i) const
896    {
897      typedef _IClos<_ValArray,_Tp> _Closure;
898      return _Expr<_Closure, _Tp>(_Closure(*this, __i));
899    }
900
901  template<typename _Tp>
902    inline indirect_array<_Tp>
903    valarray<_Tp>::operator[](const valarray<size_t>& __i)
904    {
905      return indirect_array<_Tp>(_Array<_Tp>(_M_data), __i.size(),
906				 _Array<size_t>(__i));
907    }
908
909#if __cplusplus >= 201103L
910  template<class _Tp>
911    inline void
912    valarray<_Tp>::swap(valarray<_Tp>& __v) noexcept
913    {
914      std::swap(_M_size, __v._M_size);
915      std::swap(_M_data, __v._M_data);
916    }
917#endif
918
919  template<class _Tp>
920    inline size_t
921    valarray<_Tp>::size() const
922    { return _M_size; }
923
924  template<class _Tp>
925    inline _Tp
926    valarray<_Tp>::sum() const
927    {
928      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
929      return std::__valarray_sum(_M_data, _M_data + _M_size);
930    }
931
932  template<class _Tp>
933     inline valarray<_Tp>
934     valarray<_Tp>::shift(int __n) const
935     {
936       valarray<_Tp> __ret;
937
938       if (_M_size == 0)
939	 return __ret;
940
941       _Tp* __restrict__ __tmp_M_data =
942	 std::__valarray_get_storage<_Tp>(_M_size);
943
944       if (__n == 0)
945	 std::__valarray_copy_construct(_M_data,
946					_M_data + _M_size, __tmp_M_data);
947       else if (__n > 0)      // shift left
948	 {
949	   if (size_t(__n) > _M_size)
950	     __n = int(_M_size);
951
952	   std::__valarray_copy_construct(_M_data + __n,
953					  _M_data + _M_size, __tmp_M_data);
954	   std::__valarray_default_construct(__tmp_M_data + _M_size - __n,
955					     __tmp_M_data + _M_size);
956	 }
957       else                   // shift right
958	 {
959	   if (-size_t(__n) > _M_size)
960	     __n = -int(_M_size);
961
962	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
963					  __tmp_M_data - __n);
964	   std::__valarray_default_construct(__tmp_M_data,
965					     __tmp_M_data - __n);
966	 }
967
968       __ret._M_size = _M_size;
969       __ret._M_data = __tmp_M_data;
970       return __ret;
971     }
972
973  template<class _Tp>
974     inline valarray<_Tp>
975     valarray<_Tp>::cshift(int __n) const
976     {
977       valarray<_Tp> __ret;
978
979       if (_M_size == 0)
980	 return __ret;
981
982       _Tp* __restrict__ __tmp_M_data =
983	 std::__valarray_get_storage<_Tp>(_M_size);
984
985       if (__n == 0)
986	 std::__valarray_copy_construct(_M_data,
987					_M_data + _M_size, __tmp_M_data);
988       else if (__n > 0)      // cshift left
989	 {
990	   if (size_t(__n) > _M_size)
991	     __n = int(__n % _M_size);
992
993	   std::__valarray_copy_construct(_M_data, _M_data + __n,
994					  __tmp_M_data + _M_size - __n);
995	   std::__valarray_copy_construct(_M_data + __n, _M_data + _M_size,
996					  __tmp_M_data);
997	 }
998       else                   // cshift right
999	 {
1000	   if (-size_t(__n) > _M_size)
1001	     __n = -int(-size_t(__n) % _M_size);
1002
1003	   std::__valarray_copy_construct(_M_data + _M_size + __n,
1004					  _M_data + _M_size, __tmp_M_data);
1005	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
1006					  __tmp_M_data - __n);
1007	 }
1008
1009       __ret._M_size = _M_size;
1010       __ret._M_data = __tmp_M_data;
1011       return __ret;
1012     }
1013
1014  template<class _Tp>
1015    inline void
1016    valarray<_Tp>::resize(size_t __n, _Tp __c)
1017    {
1018      // This complication is so to make valarray<valarray<T> > work
1019      // even though it is not required by the standard.  Nobody should
1020      // be saying valarray<valarray<T> > anyway.  See the specs.
1021      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
1022      if (_M_size != __n)
1023	{
1024	  std::__valarray_release_memory(_M_data);
1025	  _M_size = __n;
1026	  _M_data = __valarray_get_storage<_Tp>(__n);
1027	}
1028      std::__valarray_fill_construct(_M_data, _M_data + __n, __c);
1029    }
1030
1031  template<typename _Tp>
1032    inline _Tp
1033    valarray<_Tp>::min() const
1034    {
1035      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
1036      return *std::min_element(_M_data, _M_data + _M_size);
1037    }
1038
1039  template<typename _Tp>
1040    inline _Tp
1041    valarray<_Tp>::max() const
1042    {
1043      _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
1044      return *std::max_element(_M_data, _M_data + _M_size);
1045    }
1046
1047  template<class _Tp>
1048    inline _Expr<_ValFunClos<_ValArray, _Tp>, _Tp>
1049    valarray<_Tp>::apply(_Tp func(_Tp)) const
1050    {
1051      typedef _ValFunClos<_ValArray, _Tp> _Closure;
1052      return _Expr<_Closure, _Tp>(_Closure(*this, func));
1053    }
1054
1055  template<class _Tp>
1056    inline _Expr<_RefFunClos<_ValArray, _Tp>, _Tp>
1057    valarray<_Tp>::apply(_Tp func(const _Tp &)) const
1058    {
1059      typedef _RefFunClos<_ValArray, _Tp> _Closure;
1060      return _Expr<_Closure, _Tp>(_Closure(*this, func));
1061    }
1062
1063#define _DEFINE_VALARRAY_UNARY_OPERATOR(_Op, _Name)                     \
1064  template<typename _Tp>						\
1065    inline typename valarray<_Tp>::template _UnaryOp<_Name>::_Rt      	\
1066    valarray<_Tp>::operator _Op() const					\
1067    {									\
1068      typedef _UnClos<_Name, _ValArray, _Tp> _Closure;	                \
1069      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1070      return _Expr<_Closure, _Rt>(_Closure(*this));			\
1071    }
1072
1073    _DEFINE_VALARRAY_UNARY_OPERATOR(+, __unary_plus)
1074    _DEFINE_VALARRAY_UNARY_OPERATOR(-, __negate)
1075    _DEFINE_VALARRAY_UNARY_OPERATOR(~, __bitwise_not)
1076    _DEFINE_VALARRAY_UNARY_OPERATOR (!, __logical_not)
1077
1078#undef _DEFINE_VALARRAY_UNARY_OPERATOR
1079
1080#define _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(_Op, _Name)               \
1081  template<class _Tp>							\
1082    inline valarray<_Tp>&						\
1083    valarray<_Tp>::operator _Op##=(const _Tp &__t)			\
1084    {									\
1085      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, __t);	\
1086      return *this;							\
1087    }									\
1088									\
1089  template<class _Tp>							\
1090    inline valarray<_Tp>&						\
1091    valarray<_Tp>::operator _Op##=(const valarray<_Tp> &__v)		\
1092    {									\
1093      _GLIBCXX_DEBUG_ASSERT(_M_size == __v._M_size);                    \
1094      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, 		\
1095			       _Array<_Tp>(__v._M_data));		\
1096      return *this;							\
1097    }
1098
1099_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(+, __plus)
1100_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(-, __minus)
1101_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(*, __multiplies)
1102_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(/, __divides)
1103_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(%, __modulus)
1104_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
1105_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
1106_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
1107_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(<<, __shift_left)
1108_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(>>, __shift_right)
1109
1110#undef _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT
1111
1112#define _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(_Op, _Name)          \
1113  template<class _Tp> template<class _Dom>				\
1114    inline valarray<_Tp>&						\
1115    valarray<_Tp>::operator _Op##=(const _Expr<_Dom, _Tp>& __e)		\
1116    {									\
1117      _Array_augmented_##_Name(_Array<_Tp>(_M_data), __e, _M_size);	\
1118      return *this;							\
1119    }
1120
1121_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(+, __plus)
1122_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(-, __minus)
1123_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(*, __multiplies)
1124_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(/, __divides)
1125_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(%, __modulus)
1126_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
1127_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
1128_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
1129_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(<<, __shift_left)
1130_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(>>, __shift_right)
1131
1132#undef _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT
1133
1134
1135#define _DEFINE_BINARY_OPERATOR(_Op, _Name)				\
1136  template<typename _Tp>						\
1137    inline _Expr<_BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp>,       \
1138                 typename __fun<_Name, _Tp>::result_type>               \
1139    operator _Op(const valarray<_Tp>& __v, const valarray<_Tp>& __w)	\
1140    {									\
1141      _GLIBCXX_DEBUG_ASSERT(__v.size() == __w.size());                  \
1142      typedef _BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp> _Closure; \
1143      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1144      return _Expr<_Closure, _Rt>(_Closure(__v, __w));                  \
1145    }									\
1146									\
1147  template<typename _Tp>						\
1148    inline _Expr<_BinClos<_Name, _ValArray,_Constant, _Tp, _Tp>,        \
1149                 typename __fun<_Name, _Tp>::result_type>               \
1150    operator _Op(const valarray<_Tp>& __v, const _Tp& __t)		\
1151    {									\
1152      typedef _BinClos<_Name, _ValArray, _Constant, _Tp, _Tp> _Closure;	\
1153      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1154      return _Expr<_Closure, _Rt>(_Closure(__v, __t));	                \
1155    }									\
1156									\
1157  template<typename _Tp>						\
1158    inline _Expr<_BinClos<_Name, _Constant, _ValArray, _Tp, _Tp>,       \
1159                 typename __fun<_Name, _Tp>::result_type>               \
1160    operator _Op(const _Tp& __t, const valarray<_Tp>& __v)		\
1161    {									\
1162      typedef _BinClos<_Name, _Constant, _ValArray, _Tp, _Tp> _Closure; \
1163      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1164      return _Expr<_Closure, _Rt>(_Closure(__t, __v));        	        \
1165    }
1166
1167_DEFINE_BINARY_OPERATOR(+, __plus)
1168_DEFINE_BINARY_OPERATOR(-, __minus)
1169_DEFINE_BINARY_OPERATOR(*, __multiplies)
1170_DEFINE_BINARY_OPERATOR(/, __divides)
1171_DEFINE_BINARY_OPERATOR(%, __modulus)
1172_DEFINE_BINARY_OPERATOR(^, __bitwise_xor)
1173_DEFINE_BINARY_OPERATOR(&, __bitwise_and)
1174_DEFINE_BINARY_OPERATOR(|, __bitwise_or)
1175_DEFINE_BINARY_OPERATOR(<<, __shift_left)
1176_DEFINE_BINARY_OPERATOR(>>, __shift_right)
1177_DEFINE_BINARY_OPERATOR(&&, __logical_and)
1178_DEFINE_BINARY_OPERATOR(||, __logical_or)
1179_DEFINE_BINARY_OPERATOR(==, __equal_to)
1180_DEFINE_BINARY_OPERATOR(!=, __not_equal_to)
1181_DEFINE_BINARY_OPERATOR(<, __less)
1182_DEFINE_BINARY_OPERATOR(>, __greater)
1183_DEFINE_BINARY_OPERATOR(<=, __less_equal)
1184_DEFINE_BINARY_OPERATOR(>=, __greater_equal)
1185
1186#undef _DEFINE_BINARY_OPERATOR
1187
1188#if __cplusplus >= 201103L
1189  /**
1190   *  @brief  Return an iterator pointing to the first element of
1191   *          the valarray.
1192   *  @param  __va  valarray.
1193   */
1194  template<class _Tp>
1195    inline _Tp*
1196    begin(valarray<_Tp>& __va)
1197    { return std::__addressof(__va[0]); }
1198
1199  /**
1200   *  @brief  Return an iterator pointing to the first element of
1201   *          the const valarray.
1202   *  @param  __va  valarray.
1203   */
1204  template<class _Tp>
1205    inline const _Tp*
1206    begin(const valarray<_Tp>& __va)
1207    { return std::__addressof(__va[0]); }
1208
1209  /**
1210   *  @brief  Return an iterator pointing to one past the last element of
1211   *          the valarray.
1212   *  @param  __va  valarray.
1213   */
1214  template<class _Tp>
1215    inline _Tp*
1216    end(valarray<_Tp>& __va)
1217    { return std::__addressof(__va[0]) + __va.size(); }
1218
1219  /**
1220   *  @brief  Return an iterator pointing to one past the last element of
1221   *          the const valarray.
1222   *  @param  __va  valarray.
1223   */
1224  template<class _Tp>
1225    inline const _Tp*
1226    end(const valarray<_Tp>& __va)
1227    { return std::__addressof(__va[0]) + __va.size(); }
1228#endif // C++11
1229
1230  // @} group numeric_arrays
1231
1232_GLIBCXX_END_NAMESPACE_VERSION
1233} // namespace
1234
1235#endif /* _GLIBCXX_VALARRAY */
1236