1// The template and inlines for the -*- C++ -*- valarray class.
2
3// Copyright (C) 1997-2018 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#if __cpp_deduction_guides >= 201606
567  template<typename _Tp, size_t _Nm>
568    valarray(const _Tp(&)[_Nm], size_t) -> valarray<_Tp>;
569#endif
570
571  template<typename _Tp>
572    inline const _Tp&
573    valarray<_Tp>::operator[](size_t __i) const
574    {
575      __glibcxx_requires_subscript(__i);
576      return _M_data[__i];
577    }
578
579  template<typename _Tp>
580    inline _Tp&
581    valarray<_Tp>::operator[](size_t __i)
582    {
583      __glibcxx_requires_subscript(__i);
584      return _M_data[__i];
585    }
586
587  // @} group numeric_arrays
588
589_GLIBCXX_END_NAMESPACE_VERSION
590} // namespace
591
592#include <bits/valarray_after.h>
593#include <bits/slice_array.h>
594#include <bits/gslice.h>
595#include <bits/gslice_array.h>
596#include <bits/mask_array.h>
597#include <bits/indirect_array.h>
598
599namespace std _GLIBCXX_VISIBILITY(default)
600{
601_GLIBCXX_BEGIN_NAMESPACE_VERSION
602
603  /**
604   * @addtogroup numeric_arrays
605   * @{
606   */
607
608  template<typename _Tp>
609    inline
610    valarray<_Tp>::valarray() : _M_size(0), _M_data(0) {}
611
612  template<typename _Tp>
613    inline
614    valarray<_Tp>::valarray(size_t __n)
615    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
616    { std::__valarray_default_construct(_M_data, _M_data + __n); }
617
618  template<typename _Tp>
619    inline
620    valarray<_Tp>::valarray(const _Tp& __t, size_t __n)
621    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
622    { std::__valarray_fill_construct(_M_data, _M_data + __n, __t); }
623
624  template<typename _Tp>
625    inline
626    valarray<_Tp>::valarray(const _Tp* __restrict__ __p, size_t __n)
627    : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
628    {
629      __glibcxx_assert(__p != 0 || __n == 0);
630      std::__valarray_copy_construct(__p, __p + __n, _M_data);
631    }
632
633  template<typename _Tp>
634    inline
635    valarray<_Tp>::valarray(const valarray<_Tp>& __v)
636    : _M_size(__v._M_size), _M_data(__valarray_get_storage<_Tp>(__v._M_size))
637    { std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
638				     _M_data); }
639
640#if __cplusplus >= 201103L
641  template<typename _Tp>
642    inline
643    valarray<_Tp>::valarray(valarray<_Tp>&& __v) noexcept
644    : _M_size(__v._M_size), _M_data(__v._M_data)
645    {
646      __v._M_size = 0;
647      __v._M_data = 0;
648    }
649#endif
650
651  template<typename _Tp>
652    inline
653    valarray<_Tp>::valarray(const slice_array<_Tp>& __sa)
654    : _M_size(__sa._M_sz), _M_data(__valarray_get_storage<_Tp>(__sa._M_sz))
655    {
656      std::__valarray_copy_construct
657	(__sa._M_array, __sa._M_sz, __sa._M_stride, _Array<_Tp>(_M_data));
658    }
659
660  template<typename _Tp>
661    inline
662    valarray<_Tp>::valarray(const gslice_array<_Tp>& __ga)
663    : _M_size(__ga._M_index.size()),
664      _M_data(__valarray_get_storage<_Tp>(_M_size))
665    {
666      std::__valarray_copy_construct
667	(__ga._M_array, _Array<size_t>(__ga._M_index),
668	 _Array<_Tp>(_M_data), _M_size);
669    }
670
671  template<typename _Tp>
672    inline
673    valarray<_Tp>::valarray(const mask_array<_Tp>& __ma)
674    : _M_size(__ma._M_sz), _M_data(__valarray_get_storage<_Tp>(__ma._M_sz))
675    {
676      std::__valarray_copy_construct
677	(__ma._M_array, __ma._M_mask, _Array<_Tp>(_M_data), _M_size);
678    }
679
680  template<typename _Tp>
681    inline
682    valarray<_Tp>::valarray(const indirect_array<_Tp>& __ia)
683    : _M_size(__ia._M_sz), _M_data(__valarray_get_storage<_Tp>(__ia._M_sz))
684    {
685      std::__valarray_copy_construct
686	(__ia._M_array, __ia._M_index, _Array<_Tp>(_M_data), _M_size);
687    }
688
689#if __cplusplus >= 201103L
690  template<typename _Tp>
691    inline
692    valarray<_Tp>::valarray(initializer_list<_Tp> __l)
693    : _M_size(__l.size()), _M_data(__valarray_get_storage<_Tp>(__l.size()))
694    { std::__valarray_copy_construct(__l.begin(), __l.end(), _M_data); }
695#endif
696
697  template<typename _Tp> template<class _Dom>
698    inline
699    valarray<_Tp>::valarray(const _Expr<_Dom, _Tp>& __e)
700    : _M_size(__e.size()), _M_data(__valarray_get_storage<_Tp>(_M_size))
701    { std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data)); }
702
703  template<typename _Tp>
704    inline
705    valarray<_Tp>::~valarray() _GLIBCXX_NOEXCEPT
706    {
707      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
708      std::__valarray_release_memory(_M_data);
709    }
710
711  template<typename _Tp>
712    inline valarray<_Tp>&
713    valarray<_Tp>::operator=(const valarray<_Tp>& __v)
714    {
715      // _GLIBCXX_RESOLVE_LIB_DEFECTS
716      // 630. arrays of valarray.
717      if (_M_size == __v._M_size)
718	std::__valarray_copy(__v._M_data, _M_size, _M_data);
719      else
720	{
721	  if (_M_data)
722	    {
723	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
724	      std::__valarray_release_memory(_M_data);
725	    }
726	  _M_size = __v._M_size;
727	  _M_data = __valarray_get_storage<_Tp>(_M_size);
728	  std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
729					 _M_data);
730	}
731      return *this;
732    }
733
734#if __cplusplus >= 201103L
735  template<typename _Tp>
736    inline valarray<_Tp>&
737    valarray<_Tp>::operator=(valarray<_Tp>&& __v) noexcept
738    {
739      if (_M_data)
740	{
741	  std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
742	  std::__valarray_release_memory(_M_data);
743	}
744      _M_size = __v._M_size;
745      _M_data = __v._M_data;
746      __v._M_size = 0;
747      __v._M_data = 0;
748      return *this;
749    }
750
751  template<typename _Tp>
752    inline valarray<_Tp>&
753    valarray<_Tp>::operator=(initializer_list<_Tp> __l)
754    {
755      // _GLIBCXX_RESOLVE_LIB_DEFECTS
756      // 630. arrays of valarray.
757      if (_M_size == __l.size())
758	std::__valarray_copy(__l.begin(), __l.size(), _M_data);
759      else
760	{
761	  if (_M_data)
762	    {
763	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
764	      std::__valarray_release_memory(_M_data);
765	    }
766	  _M_size = __l.size();
767	  _M_data = __valarray_get_storage<_Tp>(_M_size);
768	  std::__valarray_copy_construct(__l.begin(), __l.begin() + _M_size,
769					 _M_data);
770	}
771      return *this;
772    }
773#endif
774
775  template<typename _Tp>
776    inline valarray<_Tp>&
777    valarray<_Tp>::operator=(const _Tp& __t)
778    {
779      std::__valarray_fill(_M_data, _M_size, __t);
780      return *this;
781    }
782
783  template<typename _Tp>
784    inline valarray<_Tp>&
785    valarray<_Tp>::operator=(const slice_array<_Tp>& __sa)
786    {
787      __glibcxx_assert(_M_size == __sa._M_sz);
788      std::__valarray_copy(__sa._M_array, __sa._M_sz,
789			   __sa._M_stride, _Array<_Tp>(_M_data));
790      return *this;
791    }
792
793  template<typename _Tp>
794    inline valarray<_Tp>&
795    valarray<_Tp>::operator=(const gslice_array<_Tp>& __ga)
796    {
797      __glibcxx_assert(_M_size == __ga._M_index.size());
798      std::__valarray_copy(__ga._M_array, _Array<size_t>(__ga._M_index),
799			   _Array<_Tp>(_M_data), _M_size);
800      return *this;
801    }
802
803  template<typename _Tp>
804    inline valarray<_Tp>&
805    valarray<_Tp>::operator=(const mask_array<_Tp>& __ma)
806    {
807      __glibcxx_assert(_M_size == __ma._M_sz);
808      std::__valarray_copy(__ma._M_array, __ma._M_mask,
809			   _Array<_Tp>(_M_data), _M_size);
810      return *this;
811    }
812
813  template<typename _Tp>
814    inline valarray<_Tp>&
815    valarray<_Tp>::operator=(const indirect_array<_Tp>& __ia)
816    {
817      __glibcxx_assert(_M_size == __ia._M_sz);
818      std::__valarray_copy(__ia._M_array, __ia._M_index,
819			   _Array<_Tp>(_M_data), _M_size);
820      return *this;
821    }
822
823  template<typename _Tp> template<class _Dom>
824    inline valarray<_Tp>&
825    valarray<_Tp>::operator=(const _Expr<_Dom, _Tp>& __e)
826    {
827      // _GLIBCXX_RESOLVE_LIB_DEFECTS
828      // 630. arrays of valarray.
829      if (_M_size == __e.size())
830	std::__valarray_copy(__e, _M_size, _Array<_Tp>(_M_data));
831      else
832	{
833	  if (_M_data)
834	    {
835	      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
836	      std::__valarray_release_memory(_M_data);
837	    }
838	  _M_size = __e.size();
839	  _M_data = __valarray_get_storage<_Tp>(_M_size);
840	  std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data));
841	}
842      return *this;
843    }
844
845  template<typename _Tp>
846    inline _Expr<_SClos<_ValArray,_Tp>, _Tp>
847    valarray<_Tp>::operator[](slice __s) const
848    {
849      typedef _SClos<_ValArray,_Tp> _Closure;
850      return _Expr<_Closure, _Tp>(_Closure (_Array<_Tp>(_M_data), __s));
851    }
852
853  template<typename _Tp>
854    inline slice_array<_Tp>
855    valarray<_Tp>::operator[](slice __s)
856    { return slice_array<_Tp>(_Array<_Tp>(_M_data), __s); }
857
858  template<typename _Tp>
859    inline _Expr<_GClos<_ValArray,_Tp>, _Tp>
860    valarray<_Tp>::operator[](const gslice& __gs) const
861    {
862      typedef _GClos<_ValArray,_Tp> _Closure;
863      return _Expr<_Closure, _Tp>
864	(_Closure(_Array<_Tp>(_M_data), __gs._M_index->_M_index));
865    }
866
867  template<typename _Tp>
868    inline gslice_array<_Tp>
869    valarray<_Tp>::operator[](const gslice& __gs)
870    {
871      return gslice_array<_Tp>
872	(_Array<_Tp>(_M_data), __gs._M_index->_M_index);
873    }
874
875  template<typename _Tp>
876    inline valarray<_Tp>
877    valarray<_Tp>::operator[](const valarray<bool>& __m) const
878    {
879      size_t __s = 0;
880      size_t __e = __m.size();
881      for (size_t __i=0; __i<__e; ++__i)
882	if (__m[__i]) ++__s;
883      return valarray<_Tp>(mask_array<_Tp>(_Array<_Tp>(_M_data), __s,
884					   _Array<bool> (__m)));
885    }
886
887  template<typename _Tp>
888    inline mask_array<_Tp>
889    valarray<_Tp>::operator[](const valarray<bool>& __m)
890    {
891      size_t __s = 0;
892      size_t __e = __m.size();
893      for (size_t __i=0; __i<__e; ++__i)
894	if (__m[__i]) ++__s;
895      return mask_array<_Tp>(_Array<_Tp>(_M_data), __s, _Array<bool>(__m));
896    }
897
898  template<typename _Tp>
899    inline _Expr<_IClos<_ValArray,_Tp>, _Tp>
900    valarray<_Tp>::operator[](const valarray<size_t>& __i) const
901    {
902      typedef _IClos<_ValArray,_Tp> _Closure;
903      return _Expr<_Closure, _Tp>(_Closure(*this, __i));
904    }
905
906  template<typename _Tp>
907    inline indirect_array<_Tp>
908    valarray<_Tp>::operator[](const valarray<size_t>& __i)
909    {
910      return indirect_array<_Tp>(_Array<_Tp>(_M_data), __i.size(),
911				 _Array<size_t>(__i));
912    }
913
914#if __cplusplus >= 201103L
915  template<class _Tp>
916    inline void
917    valarray<_Tp>::swap(valarray<_Tp>& __v) noexcept
918    {
919      std::swap(_M_size, __v._M_size);
920      std::swap(_M_data, __v._M_data);
921    }
922#endif
923
924  template<class _Tp>
925    inline size_t
926    valarray<_Tp>::size() const
927    { return _M_size; }
928
929  template<class _Tp>
930    inline _Tp
931    valarray<_Tp>::sum() const
932    {
933      __glibcxx_assert(_M_size > 0);
934      return std::__valarray_sum(_M_data, _M_data + _M_size);
935    }
936
937  template<class _Tp>
938     inline valarray<_Tp>
939     valarray<_Tp>::shift(int __n) const
940     {
941       valarray<_Tp> __ret;
942
943       if (_M_size == 0)
944	 return __ret;
945
946       _Tp* __restrict__ __tmp_M_data =
947	 std::__valarray_get_storage<_Tp>(_M_size);
948
949       if (__n == 0)
950	 std::__valarray_copy_construct(_M_data,
951					_M_data + _M_size, __tmp_M_data);
952       else if (__n > 0)      // shift left
953	 {
954	   if (size_t(__n) > _M_size)
955	     __n = int(_M_size);
956
957	   std::__valarray_copy_construct(_M_data + __n,
958					  _M_data + _M_size, __tmp_M_data);
959	   std::__valarray_default_construct(__tmp_M_data + _M_size - __n,
960					     __tmp_M_data + _M_size);
961	 }
962       else                   // shift right
963	 {
964	   if (-size_t(__n) > _M_size)
965	     __n = -int(_M_size);
966
967	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
968					  __tmp_M_data - __n);
969	   std::__valarray_default_construct(__tmp_M_data,
970					     __tmp_M_data - __n);
971	 }
972
973       __ret._M_size = _M_size;
974       __ret._M_data = __tmp_M_data;
975       return __ret;
976     }
977
978  template<class _Tp>
979     inline valarray<_Tp>
980     valarray<_Tp>::cshift(int __n) const
981     {
982       valarray<_Tp> __ret;
983
984       if (_M_size == 0)
985	 return __ret;
986
987       _Tp* __restrict__ __tmp_M_data =
988	 std::__valarray_get_storage<_Tp>(_M_size);
989
990       if (__n == 0)
991	 std::__valarray_copy_construct(_M_data,
992					_M_data + _M_size, __tmp_M_data);
993       else if (__n > 0)      // cshift left
994	 {
995	   if (size_t(__n) > _M_size)
996	     __n = int(__n % _M_size);
997
998	   std::__valarray_copy_construct(_M_data, _M_data + __n,
999					  __tmp_M_data + _M_size - __n);
1000	   std::__valarray_copy_construct(_M_data + __n, _M_data + _M_size,
1001					  __tmp_M_data);
1002	 }
1003       else                   // cshift right
1004	 {
1005	   if (-size_t(__n) > _M_size)
1006	     __n = -int(-size_t(__n) % _M_size);
1007
1008	   std::__valarray_copy_construct(_M_data + _M_size + __n,
1009					  _M_data + _M_size, __tmp_M_data);
1010	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
1011					  __tmp_M_data - __n);
1012	 }
1013
1014       __ret._M_size = _M_size;
1015       __ret._M_data = __tmp_M_data;
1016       return __ret;
1017     }
1018
1019  template<class _Tp>
1020    inline void
1021    valarray<_Tp>::resize(size_t __n, _Tp __c)
1022    {
1023      // This complication is so to make valarray<valarray<T> > work
1024      // even though it is not required by the standard.  Nobody should
1025      // be saying valarray<valarray<T> > anyway.  See the specs.
1026      std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
1027      if (_M_size != __n)
1028	{
1029	  std::__valarray_release_memory(_M_data);
1030	  _M_size = __n;
1031	  _M_data = __valarray_get_storage<_Tp>(__n);
1032	}
1033      std::__valarray_fill_construct(_M_data, _M_data + __n, __c);
1034    }
1035
1036  template<typename _Tp>
1037    inline _Tp
1038    valarray<_Tp>::min() const
1039    {
1040      __glibcxx_assert(_M_size > 0);
1041      return *std::min_element(_M_data, _M_data + _M_size);
1042    }
1043
1044  template<typename _Tp>
1045    inline _Tp
1046    valarray<_Tp>::max() const
1047    {
1048      __glibcxx_assert(_M_size > 0);
1049      return *std::max_element(_M_data, _M_data + _M_size);
1050    }
1051
1052  template<class _Tp>
1053    inline _Expr<_ValFunClos<_ValArray, _Tp>, _Tp>
1054    valarray<_Tp>::apply(_Tp func(_Tp)) const
1055    {
1056      typedef _ValFunClos<_ValArray, _Tp> _Closure;
1057      return _Expr<_Closure, _Tp>(_Closure(*this, func));
1058    }
1059
1060  template<class _Tp>
1061    inline _Expr<_RefFunClos<_ValArray, _Tp>, _Tp>
1062    valarray<_Tp>::apply(_Tp func(const _Tp &)) const
1063    {
1064      typedef _RefFunClos<_ValArray, _Tp> _Closure;
1065      return _Expr<_Closure, _Tp>(_Closure(*this, func));
1066    }
1067
1068#define _DEFINE_VALARRAY_UNARY_OPERATOR(_Op, _Name)                     \
1069  template<typename _Tp>						\
1070    inline typename valarray<_Tp>::template _UnaryOp<_Name>::_Rt      	\
1071    valarray<_Tp>::operator _Op() const					\
1072    {									\
1073      typedef _UnClos<_Name, _ValArray, _Tp> _Closure;	                \
1074      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1075      return _Expr<_Closure, _Rt>(_Closure(*this));			\
1076    }
1077
1078    _DEFINE_VALARRAY_UNARY_OPERATOR(+, __unary_plus)
1079    _DEFINE_VALARRAY_UNARY_OPERATOR(-, __negate)
1080    _DEFINE_VALARRAY_UNARY_OPERATOR(~, __bitwise_not)
1081    _DEFINE_VALARRAY_UNARY_OPERATOR (!, __logical_not)
1082
1083#undef _DEFINE_VALARRAY_UNARY_OPERATOR
1084
1085#define _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(_Op, _Name)               \
1086  template<class _Tp>							\
1087    inline valarray<_Tp>&						\
1088    valarray<_Tp>::operator _Op##=(const _Tp &__t)			\
1089    {									\
1090      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, __t);	\
1091      return *this;							\
1092    }									\
1093									\
1094  template<class _Tp>							\
1095    inline valarray<_Tp>&						\
1096    valarray<_Tp>::operator _Op##=(const valarray<_Tp> &__v)		\
1097    {									\
1098      __glibcxx_assert(_M_size == __v._M_size);				\
1099      _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, 		\
1100			       _Array<_Tp>(__v._M_data));		\
1101      return *this;							\
1102    }
1103
1104_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(+, __plus)
1105_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(-, __minus)
1106_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(*, __multiplies)
1107_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(/, __divides)
1108_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(%, __modulus)
1109_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
1110_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
1111_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
1112_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(<<, __shift_left)
1113_DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(>>, __shift_right)
1114
1115#undef _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT
1116
1117#define _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(_Op, _Name)          \
1118  template<class _Tp> template<class _Dom>				\
1119    inline valarray<_Tp>&						\
1120    valarray<_Tp>::operator _Op##=(const _Expr<_Dom, _Tp>& __e)		\
1121    {									\
1122      _Array_augmented_##_Name(_Array<_Tp>(_M_data), __e, _M_size);	\
1123      return *this;							\
1124    }
1125
1126_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(+, __plus)
1127_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(-, __minus)
1128_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(*, __multiplies)
1129_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(/, __divides)
1130_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(%, __modulus)
1131_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
1132_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
1133_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
1134_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(<<, __shift_left)
1135_DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(>>, __shift_right)
1136
1137#undef _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT
1138
1139
1140#define _DEFINE_BINARY_OPERATOR(_Op, _Name)				\
1141  template<typename _Tp>						\
1142    inline _Expr<_BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp>,       \
1143                 typename __fun<_Name, _Tp>::result_type>               \
1144    operator _Op(const valarray<_Tp>& __v, const valarray<_Tp>& __w)	\
1145    {									\
1146      __glibcxx_assert(__v.size() == __w.size());                       \
1147      typedef _BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp> _Closure; \
1148      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1149      return _Expr<_Closure, _Rt>(_Closure(__v, __w));                  \
1150    }									\
1151									\
1152  template<typename _Tp>						\
1153    inline _Expr<_BinClos<_Name, _ValArray,_Constant, _Tp, _Tp>,        \
1154                 typename __fun<_Name, _Tp>::result_type>               \
1155    operator _Op(const valarray<_Tp>& __v, const _Tp& __t)		\
1156    {									\
1157      typedef _BinClos<_Name, _ValArray, _Constant, _Tp, _Tp> _Closure;	\
1158      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1159      return _Expr<_Closure, _Rt>(_Closure(__v, __t));	                \
1160    }									\
1161									\
1162  template<typename _Tp>						\
1163    inline _Expr<_BinClos<_Name, _Constant, _ValArray, _Tp, _Tp>,       \
1164                 typename __fun<_Name, _Tp>::result_type>               \
1165    operator _Op(const _Tp& __t, const valarray<_Tp>& __v)		\
1166    {									\
1167      typedef _BinClos<_Name, _Constant, _ValArray, _Tp, _Tp> _Closure; \
1168      typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
1169      return _Expr<_Closure, _Rt>(_Closure(__t, __v));        	        \
1170    }
1171
1172_DEFINE_BINARY_OPERATOR(+, __plus)
1173_DEFINE_BINARY_OPERATOR(-, __minus)
1174_DEFINE_BINARY_OPERATOR(*, __multiplies)
1175_DEFINE_BINARY_OPERATOR(/, __divides)
1176_DEFINE_BINARY_OPERATOR(%, __modulus)
1177_DEFINE_BINARY_OPERATOR(^, __bitwise_xor)
1178_DEFINE_BINARY_OPERATOR(&, __bitwise_and)
1179_DEFINE_BINARY_OPERATOR(|, __bitwise_or)
1180_DEFINE_BINARY_OPERATOR(<<, __shift_left)
1181_DEFINE_BINARY_OPERATOR(>>, __shift_right)
1182_DEFINE_BINARY_OPERATOR(&&, __logical_and)
1183_DEFINE_BINARY_OPERATOR(||, __logical_or)
1184_DEFINE_BINARY_OPERATOR(==, __equal_to)
1185_DEFINE_BINARY_OPERATOR(!=, __not_equal_to)
1186_DEFINE_BINARY_OPERATOR(<, __less)
1187_DEFINE_BINARY_OPERATOR(>, __greater)
1188_DEFINE_BINARY_OPERATOR(<=, __less_equal)
1189_DEFINE_BINARY_OPERATOR(>=, __greater_equal)
1190
1191#undef _DEFINE_BINARY_OPERATOR
1192
1193#if __cplusplus >= 201103L
1194  /**
1195   *  @brief  Return an iterator pointing to the first element of
1196   *          the valarray.
1197   *  @param  __va  valarray.
1198   */
1199  template<class _Tp>
1200    inline _Tp*
1201    begin(valarray<_Tp>& __va)
1202    { return std::__addressof(__va[0]); }
1203
1204  /**
1205   *  @brief  Return an iterator pointing to the first element of
1206   *          the const valarray.
1207   *  @param  __va  valarray.
1208   */
1209  template<class _Tp>
1210    inline const _Tp*
1211    begin(const valarray<_Tp>& __va)
1212    { return std::__addressof(__va[0]); }
1213
1214  /**
1215   *  @brief  Return an iterator pointing to one past the last element of
1216   *          the valarray.
1217   *  @param  __va  valarray.
1218   */
1219  template<class _Tp>
1220    inline _Tp*
1221    end(valarray<_Tp>& __va)
1222    { return std::__addressof(__va[0]) + __va.size(); }
1223
1224  /**
1225   *  @brief  Return an iterator pointing to one past the last element of
1226   *          the const valarray.
1227   *  @param  __va  valarray.
1228   */
1229  template<class _Tp>
1230    inline const _Tp*
1231    end(const valarray<_Tp>& __va)
1232    { return std::__addressof(__va[0]) + __va.size(); }
1233#endif // C++11
1234
1235  // @} group numeric_arrays
1236
1237_GLIBCXX_END_NAMESPACE_VERSION
1238} // namespace
1239
1240#endif /* _GLIBCXX_VALARRAY */
1241