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      1 // The template and inlines for the -*- C++ -*- valarray class.
      2 
      3 // Copyright (C) 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005,
      4 // 2006, 2007, 2008, 2009
      5 // Free Software Foundation, Inc.
      6 //
      7 // This file is part of the GNU ISO C++ Library.  This library is free
      8 // software; you can redistribute it and/or modify it under the
      9 // terms of the GNU General Public License as published by the
     10 // Free Software Foundation; either version 3, or (at your option)
     11 // any later version.
     12 
     13 // This library is distributed in the hope that it will be useful,
     14 // but WITHOUT ANY WARRANTY; without even the implied warranty of
     15 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
     16 // GNU General Public License for more details.
     17 
     18 // Under Section 7 of GPL version 3, you are granted additional
     19 // permissions described in the GCC Runtime Library Exception, version
     20 // 3.1, as published by the Free Software Foundation.
     21 
     22 // You should have received a copy of the GNU General Public License and
     23 // a copy of the GCC Runtime Library Exception along with this program;
     24 // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
     25 // <http://www.gnu.org/licenses/>.
     26 
     27 /** @file valarray
     28  *  This is a Standard C++ Library header. 
     29  */
     30 
     31 // Written by Gabriel Dos Reis <Gabriel.Dos-Reis (a] DPTMaths.ENS-Cachan.Fr>
     32 
     33 #ifndef _GLIBCXX_VALARRAY
     34 #define _GLIBCXX_VALARRAY 1
     35 
     36 #pragma GCC system_header
     37 
     38 #include <bits/c++config.h>
     39 #include <cstddef>
     40 #include <cmath>
     41 #include <algorithm>
     42 #include <debug/debug.h>
     43 #include <initializer_list>
     44 
     45 _GLIBCXX_BEGIN_NAMESPACE(std)
     46 
     47   template<class _Clos, typename _Tp> 
     48     class _Expr;
     49 
     50   template<typename _Tp1, typename _Tp2> 
     51     class _ValArray;    
     52 
     53   template<class _Oper, template<class, class> class _Meta, class _Dom>
     54     struct _UnClos;
     55 
     56   template<class _Oper,
     57         template<class, class> class _Meta1,
     58         template<class, class> class _Meta2,
     59         class _Dom1, class _Dom2> 
     60     class _BinClos;
     61 
     62   template<template<class, class> class _Meta, class _Dom> 
     63     class _SClos;
     64 
     65   template<template<class, class> class _Meta, class _Dom> 
     66     class _GClos;
     67     
     68   template<template<class, class> class _Meta, class _Dom> 
     69     class _IClos;
     70     
     71   template<template<class, class> class _Meta, class _Dom> 
     72     class _ValFunClos;
     73   
     74   template<template<class, class> class _Meta, class _Dom> 
     75     class _RefFunClos;
     76 
     77   template<class _Tp> class valarray;   // An array of type _Tp
     78   class slice;                          // BLAS-like slice out of an array
     79   template<class _Tp> class slice_array;
     80   class gslice;                         // generalized slice out of an array
     81   template<class _Tp> class gslice_array;
     82   template<class _Tp> class mask_array;     // masked array
     83   template<class _Tp> class indirect_array; // indirected array
     84 
     85 _GLIBCXX_END_NAMESPACE
     86 
     87 #include <bits/valarray_array.h>
     88 #include <bits/valarray_before.h>
     89   
     90 _GLIBCXX_BEGIN_NAMESPACE(std)
     91 
     92   /**
     93    * @defgroup numeric_arrays Numeric Arrays
     94    * @ingroup numerics
     95    *
     96    * Classes and functions for representing and manipulating arrays of elements.
     97    * @{
     98    */
     99 
    100   /**
    101    *  @brief  Smart array designed to support numeric processing.
    102    *
    103    *  A valarray is an array that provides constraints intended to allow for
    104    *  effective optimization of numeric array processing by reducing the
    105    *  aliasing that can result from pointer representations.  It represents a
    106    *  one-dimensional array from which different multidimensional subsets can
    107    *  be accessed and modified.
    108    *  
    109    *  @param  Tp  Type of object in the array.
    110    */
    111   template<class _Tp> 
    112     class valarray
    113     {
    114       template<class _Op>
    115 	struct _UnaryOp 
    116 	{
    117 	  typedef typename __fun<_Op, _Tp>::result_type __rt;
    118 	  typedef _Expr<_UnClos<_Op, _ValArray, _Tp>, __rt> _Rt;
    119 	};
    120     public:
    121       typedef _Tp value_type;
    122       
    123 	// _lib.valarray.cons_ construct/destroy:
    124       ///  Construct an empty array.
    125       valarray();
    126 
    127       ///  Construct an array with @a n elements.
    128       explicit valarray(size_t);
    129 
    130       ///  Construct an array with @a n elements initialized to @a t.
    131       valarray(const _Tp&, size_t);
    132 
    133       ///  Construct an array initialized to the first @a n elements of @a t.
    134       valarray(const _Tp* __restrict__, size_t);
    135 
    136       ///  Copy constructor.
    137       valarray(const valarray&);
    138 
    139       ///  Construct an array with the same size and values in @a sa.
    140       valarray(const slice_array<_Tp>&);
    141 
    142       ///  Construct an array with the same size and values in @a ga.
    143       valarray(const gslice_array<_Tp>&);
    144 
    145       ///  Construct an array with the same size and values in @a ma.
    146       valarray(const mask_array<_Tp>&);
    147 
    148       ///  Construct an array with the same size and values in @a ia.
    149       valarray(const indirect_array<_Tp>&);
    150 
    151 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    152       ///  Construct an array with an initializer_list of values.
    153       valarray(initializer_list<_Tp>);
    154 #endif
    155 
    156       template<class _Dom>
    157 	valarray(const _Expr<_Dom, _Tp>& __e);
    158 
    159       ~valarray();
    160 
    161       // _lib.valarray.assign_ assignment:
    162       /**
    163        *  @brief  Assign elements to an array.
    164        *
    165        *  Assign elements of array to values in @a v.  Results are undefined
    166        *  if @a v does not have the same size as this array.
    167        *
    168        *  @param  v  Valarray to get values from.
    169        */
    170       valarray<_Tp>& operator=(const valarray<_Tp>&);
    171 
    172       /**
    173        *  @brief  Assign elements to a value.
    174        *
    175        *  Assign all elements of array to @a t.
    176        *
    177        *  @param  t  Value for elements.
    178        */
    179       valarray<_Tp>& operator=(const _Tp&);
    180 
    181       /**
    182        *  @brief  Assign elements to an array subset.
    183        *
    184        *  Assign elements of array to values in @a sa.  Results are undefined
    185        *  if @a sa does not have the same size as this array.
    186        *
    187        *  @param  sa  Array slice to get values from.
    188        */
    189       valarray<_Tp>& operator=(const slice_array<_Tp>&);
    190 
    191       /**
    192        *  @brief  Assign elements to an array subset.
    193        *
    194        *  Assign elements of array to values in @a ga.  Results are undefined
    195        *  if @a ga does not have the same size as this array.
    196        *
    197        *  @param  ga  Array slice to get values from.
    198        */
    199       valarray<_Tp>& operator=(const gslice_array<_Tp>&);
    200 
    201       /**
    202        *  @brief  Assign elements to an array subset.
    203        *
    204        *  Assign elements of array to values in @a ma.  Results are undefined
    205        *  if @a ma does not have the same size as this array.
    206        *
    207        *  @param  ma  Array slice to get values from.
    208        */
    209       valarray<_Tp>& operator=(const mask_array<_Tp>&);
    210 
    211       /**
    212        *  @brief  Assign elements to an array subset.
    213        *
    214        *  Assign elements of array to values in @a ia.  Results are undefined
    215        *  if @a ia does not have the same size as this array.
    216        *
    217        *  @param  ia  Array slice to get values from.
    218        */
    219       valarray<_Tp>& operator=(const indirect_array<_Tp>&);
    220 
    221 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    222       /**
    223        *  @brief  Assign elements to an initializer_list.
    224        *
    225        *  Assign elements of array to values in @a l.  Results are undefined
    226        *  if @a l does not have the same size as this array.
    227        *
    228        *  @param  l  initializer_list to get values from.
    229        */
    230       valarray& operator=(initializer_list<_Tp>);
    231 #endif
    232 
    233       template<class _Dom> valarray<_Tp>&
    234 	operator= (const _Expr<_Dom, _Tp>&);
    235 
    236       // _lib.valarray.access_ element access:
    237       /**
    238        *  Return a reference to the i'th array element.  
    239        *
    240        *  @param  i  Index of element to return.
    241        *  @return  Reference to the i'th element.
    242        */
    243       _Tp&                operator[](size_t);
    244 
    245       // _GLIBCXX_RESOLVE_LIB_DEFECTS
    246       // 389. Const overload of valarray::operator[] returns by value.
    247       const _Tp&          operator[](size_t) const;
    248 
    249       // _lib.valarray.sub_ subset operations:
    250       /**
    251        *  @brief  Return an array subset.
    252        *
    253        *  Returns a new valarray containing the elements of the array
    254        *  indicated by the slice argument.  The new valarray has the same size
    255        *  as the input slice.  @see slice.
    256        *
    257        *  @param  s  The source slice.
    258        *  @return  New valarray containing elements in @a s.
    259        */
    260       _Expr<_SClos<_ValArray, _Tp>, _Tp> operator[](slice) const;
    261 
    262       /**
    263        *  @brief  Return a reference to an array subset.
    264        *
    265        *  Returns a new valarray containing the elements of the array
    266        *  indicated by the slice argument.  The new valarray has the same size
    267        *  as the input slice.  @see slice.
    268        *
    269        *  @param  s  The source slice.
    270        *  @return  New valarray containing elements in @a s.
    271        */
    272       slice_array<_Tp>    operator[](slice);
    273 
    274       /**
    275        *  @brief  Return an array subset.
    276        *
    277        *  Returns a slice_array referencing the elements of the array
    278        *  indicated by the slice argument.  @see gslice.
    279        *
    280        *  @param  s  The source slice.
    281        *  @return  Slice_array referencing elements indicated by @a s.
    282        */
    283       _Expr<_GClos<_ValArray, _Tp>, _Tp> operator[](const gslice&) const;
    284 
    285       /**
    286        *  @brief  Return a reference to an array subset.
    287        *
    288        *  Returns a new valarray containing the elements of the array
    289        *  indicated by the gslice argument.  The new valarray has
    290        *  the same size as the input gslice.  @see gslice.
    291        *
    292        *  @param  s  The source gslice.
    293        *  @return  New valarray containing elements in @a s.
    294        */
    295       gslice_array<_Tp>   operator[](const gslice&);
    296 
    297       /**
    298        *  @brief  Return an array subset.
    299        *
    300        *  Returns a new valarray containing the elements of the array
    301        *  indicated by the argument.  The input is a valarray of bool which
    302        *  represents a bitmask indicating which elements should be copied into
    303        *  the new valarray.  Each element of the array is added to the return
    304        *  valarray if the corresponding element of the argument is true.
    305        *
    306        *  @param  m  The valarray bitmask.
    307        *  @return  New valarray containing elements indicated by @a m.
    308        */
    309       valarray<_Tp>       operator[](const valarray<bool>&) const;
    310 
    311       /**
    312        *  @brief  Return a reference to an array subset.
    313        *
    314        *  Returns a new mask_array referencing the elements of the array
    315        *  indicated by the argument.  The input is a valarray of bool which
    316        *  represents a bitmask indicating which elements are part of the
    317        *  subset.  Elements of the array are part of the subset if the
    318        *  corresponding element of the argument is true.
    319        *
    320        *  @param  m  The valarray bitmask.
    321        *  @return  New valarray containing elements indicated by @a m.
    322        */
    323       mask_array<_Tp>     operator[](const valarray<bool>&);
    324 
    325       /**
    326        *  @brief  Return an array subset.
    327        *
    328        *  Returns a new valarray containing the elements of the array
    329        *  indicated by the argument.  The elements in the argument are
    330        *  interpreted as the indices of elements of this valarray to copy to
    331        *  the return valarray.
    332        *
    333        *  @param  i  The valarray element index list.
    334        *  @return  New valarray containing elements in @a s.
    335        */
    336       _Expr<_IClos<_ValArray, _Tp>, _Tp>
    337         operator[](const valarray<size_t>&) const;
    338 
    339       /**
    340        *  @brief  Return a reference to an array subset.
    341        *
    342        *  Returns an indirect_array referencing the elements of the array
    343        *  indicated by the argument.  The elements in the argument are
    344        *  interpreted as the indices of elements of this valarray to include
    345        *  in the subset.  The returned indirect_array refers to these
    346        *  elements.
    347        *
    348        *  @param  i  The valarray element index list.
    349        *  @return  Indirect_array referencing elements in @a i.
    350        */
    351       indirect_array<_Tp> operator[](const valarray<size_t>&);
    352 
    353       // _lib.valarray.unary_ unary operators:
    354       ///  Return a new valarray by applying unary + to each element.
    355       typename _UnaryOp<__unary_plus>::_Rt  operator+() const;
    356 
    357       ///  Return a new valarray by applying unary - to each element.
    358       typename _UnaryOp<__negate>::_Rt      operator-() const;
    359 
    360       ///  Return a new valarray by applying unary ~ to each element.
    361       typename _UnaryOp<__bitwise_not>::_Rt operator~() const;
    362 
    363       ///  Return a new valarray by applying unary ! to each element.
    364       typename _UnaryOp<__logical_not>::_Rt operator!() const;
    365 
    366       // _lib.valarray.cassign_ computed assignment:
    367       ///  Multiply each element of array by @a t.
    368       valarray<_Tp>& operator*=(const _Tp&);
    369 
    370       ///  Divide each element of array by @a t.
    371       valarray<_Tp>& operator/=(const _Tp&);
    372 
    373       ///  Set each element e of array to e % @a t.
    374       valarray<_Tp>& operator%=(const _Tp&);
    375 
    376       ///  Add @a t to each element of array.
    377       valarray<_Tp>& operator+=(const _Tp&);
    378 
    379       ///  Subtract @a t to each element of array.
    380       valarray<_Tp>& operator-=(const _Tp&);
    381 
    382       ///  Set each element e of array to e ^ @a t.
    383       valarray<_Tp>& operator^=(const _Tp&);
    384 
    385       ///  Set each element e of array to e & @a t.
    386       valarray<_Tp>& operator&=(const _Tp&);
    387 
    388       ///  Set each element e of array to e | @a t.
    389       valarray<_Tp>& operator|=(const _Tp&);
    390 
    391       ///  Left shift each element e of array by @a t bits.
    392       valarray<_Tp>& operator<<=(const _Tp&);
    393 
    394       ///  Right shift each element e of array by @a t bits.
    395       valarray<_Tp>& operator>>=(const _Tp&);
    396 
    397       ///  Multiply elements of array by corresponding elements of @a v.
    398       valarray<_Tp>& operator*=(const valarray<_Tp>&);
    399 
    400       ///  Divide elements of array by corresponding elements of @a v.
    401       valarray<_Tp>& operator/=(const valarray<_Tp>&);
    402 
    403       ///  Modulo elements of array by corresponding elements of @a v.
    404       valarray<_Tp>& operator%=(const valarray<_Tp>&);
    405 
    406       ///  Add corresponding elements of @a v to elements of array.
    407       valarray<_Tp>& operator+=(const valarray<_Tp>&);
    408 
    409       ///  Subtract corresponding elements of @a v from elements of array.
    410       valarray<_Tp>& operator-=(const valarray<_Tp>&);
    411 
    412       ///  Logical xor corresponding elements of @a v with elements of array.
    413       valarray<_Tp>& operator^=(const valarray<_Tp>&);
    414 
    415       ///  Logical or corresponding elements of @a v with elements of array.
    416       valarray<_Tp>& operator|=(const valarray<_Tp>&);
    417 
    418       ///  Logical and corresponding elements of @a v with elements of array.
    419       valarray<_Tp>& operator&=(const valarray<_Tp>&);
    420 
    421       ///  Left shift elements of array by corresponding elements of @a v.
    422       valarray<_Tp>& operator<<=(const valarray<_Tp>&);
    423 
    424       ///  Right shift elements of array by corresponding elements of @a v.
    425       valarray<_Tp>& operator>>=(const valarray<_Tp>&);
    426 
    427       template<class _Dom>
    428 	valarray<_Tp>& operator*=(const _Expr<_Dom, _Tp>&);
    429       template<class _Dom>
    430 	valarray<_Tp>& operator/=(const _Expr<_Dom, _Tp>&);
    431       template<class _Dom>
    432 	valarray<_Tp>& operator%=(const _Expr<_Dom, _Tp>&);
    433       template<class _Dom>
    434 	valarray<_Tp>& operator+=(const _Expr<_Dom, _Tp>&);
    435       template<class _Dom>
    436 	valarray<_Tp>& operator-=(const _Expr<_Dom, _Tp>&);
    437       template<class _Dom>
    438 	valarray<_Tp>& operator^=(const _Expr<_Dom, _Tp>&);
    439       template<class _Dom>
    440 	valarray<_Tp>& operator|=(const _Expr<_Dom, _Tp>&);
    441       template<class _Dom>
    442 	valarray<_Tp>& operator&=(const _Expr<_Dom, _Tp>&);
    443       template<class _Dom>
    444         valarray<_Tp>& operator<<=(const _Expr<_Dom, _Tp>&);
    445       template<class _Dom>
    446 	valarray<_Tp>& operator>>=(const _Expr<_Dom, _Tp>&);
    447 
    448       // _lib.valarray.members_ member functions:
    449       ///  Return the number of elements in array.
    450       size_t size() const;
    451 
    452       /**
    453        *  @brief  Return the sum of all elements in the array.
    454        *
    455        *  Accumulates the sum of all elements into a Tp using +=.  The order
    456        *  of adding the elements is unspecified.
    457        */
    458       _Tp    sum() const;
    459 
    460       ///  Return the minimum element using operator<().
    461       _Tp    min() const;	
    462 
    463       ///  Return the maximum element using operator<().
    464       _Tp    max() const;	
    465 
    466       /**
    467        *  @brief  Return a shifted array.
    468        *
    469        *  A new valarray is constructed as a copy of this array with elements
    470        *  in shifted positions.  For an element with index i, the new position
    471        *  is i - n.  The new valarray has the same size as the current one.
    472        *  New elements without a value are set to 0.  Elements whose new
    473        *  position is outside the bounds of the array are discarded.
    474        *
    475        *  Positive arguments shift toward index 0, discarding elements [0, n).
    476        *  Negative arguments discard elements from the top of the array.
    477        *
    478        *  @param  n  Number of element positions to shift.
    479        *  @return  New valarray with elements in shifted positions.
    480        */
    481       valarray<_Tp> shift (int) const;
    482 
    483       /**
    484        *  @brief  Return a rotated array.
    485        *
    486        *  A new valarray is constructed as a copy of this array with elements
    487        *  in shifted positions.  For an element with index i, the new position
    488        *  is (i - n) % size().  The new valarray has the same size as the
    489        *  current one.  Elements that are shifted beyond the array bounds are
    490        *  shifted into the other end of the array.  No elements are lost.
    491        *
    492        *  Positive arguments shift toward index 0, wrapping around the top.
    493        *  Negative arguments shift towards the top, wrapping around to 0.
    494        *
    495        *  @param  n  Number of element positions to rotate.
    496        *  @return  New valarray with elements in shifted positions.
    497        */
    498       valarray<_Tp> cshift(int) const;
    499 
    500       /**
    501        *  @brief  Apply a function to the array.
    502        *
    503        *  Returns a new valarray with elements assigned to the result of
    504        *  applying func to the corresponding element of this array.  The new
    505        *  array has the same size as this one.
    506        *
    507        *  @param  func  Function of Tp returning Tp to apply.
    508        *  @return  New valarray with transformed elements.
    509        */
    510       _Expr<_ValFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(_Tp)) const;
    511 
    512       /**
    513        *  @brief  Apply a function to the array.
    514        *
    515        *  Returns a new valarray with elements assigned to the result of
    516        *  applying func to the corresponding element of this array.  The new
    517        *  array has the same size as this one.
    518        *
    519        *  @param  func  Function of const Tp& returning Tp to apply.
    520        *  @return  New valarray with transformed elements.
    521        */
    522       _Expr<_RefFunClos<_ValArray, _Tp>, _Tp> apply(_Tp func(const _Tp&)) const;
    523 
    524       /**
    525        *  @brief  Resize array.
    526        *
    527        *  Resize this array to @a size and set all elements to @a c.  All
    528        *  references and iterators are invalidated.
    529        *
    530        *  @param  size  New array size.
    531        *  @param  c  New value for all elements.
    532        */
    533       void resize(size_t __size, _Tp __c = _Tp());
    534 
    535     private:
    536       size_t _M_size;
    537       _Tp* __restrict__ _M_data;
    538       
    539       friend class _Array<_Tp>;
    540     };
    541   
    542   template<typename _Tp>
    543     inline const _Tp&
    544     valarray<_Tp>::operator[](size_t __i) const
    545     { 
    546       __glibcxx_requires_subscript(__i);
    547       return _M_data[__i];
    548     }
    549 
    550   template<typename _Tp>
    551     inline _Tp&
    552     valarray<_Tp>::operator[](size_t __i)
    553     { 
    554       __glibcxx_requires_subscript(__i);
    555       return _M_data[__i];
    556     }
    557 
    558   // @} group numeric_arrays
    559 
    560 _GLIBCXX_END_NAMESPACE
    561 
    562 #include <bits/valarray_after.h>
    563 #include <bits/slice_array.h>
    564 #include <bits/gslice.h>
    565 #include <bits/gslice_array.h>
    566 #include <bits/mask_array.h>
    567 #include <bits/indirect_array.h>
    568 
    569 _GLIBCXX_BEGIN_NAMESPACE(std)
    570 
    571   /**
    572    * @addtogroup numeric_arrays
    573    * @{
    574    */
    575 
    576   template<typename _Tp>
    577     inline
    578     valarray<_Tp>::valarray() : _M_size(0), _M_data(0) {}
    579 
    580   template<typename _Tp>
    581     inline 
    582     valarray<_Tp>::valarray(size_t __n) 
    583     : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
    584     { std::__valarray_default_construct(_M_data, _M_data + __n); }
    585 
    586   template<typename _Tp>
    587     inline
    588     valarray<_Tp>::valarray(const _Tp& __t, size_t __n)
    589     : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
    590     { std::__valarray_fill_construct(_M_data, _M_data + __n, __t); }
    591 
    592   template<typename _Tp>
    593     inline
    594     valarray<_Tp>::valarray(const _Tp* __restrict__ __p, size_t __n)
    595     : _M_size(__n), _M_data(__valarray_get_storage<_Tp>(__n))
    596     { 
    597       _GLIBCXX_DEBUG_ASSERT(__p != 0 || __n == 0);
    598       std::__valarray_copy_construct(__p, __p + __n, _M_data); 
    599     }
    600 
    601   template<typename _Tp>
    602     inline
    603     valarray<_Tp>::valarray(const valarray<_Tp>& __v)
    604     : _M_size(__v._M_size), _M_data(__valarray_get_storage<_Tp>(__v._M_size))
    605     { std::__valarray_copy_construct(__v._M_data, __v._M_data + _M_size,
    606 				     _M_data); }
    607 
    608   template<typename _Tp>
    609     inline
    610     valarray<_Tp>::valarray(const slice_array<_Tp>& __sa)
    611     : _M_size(__sa._M_sz), _M_data(__valarray_get_storage<_Tp>(__sa._M_sz))
    612     {
    613       std::__valarray_copy_construct
    614 	(__sa._M_array, __sa._M_sz, __sa._M_stride, _Array<_Tp>(_M_data));
    615     }
    616 
    617   template<typename _Tp>
    618     inline
    619     valarray<_Tp>::valarray(const gslice_array<_Tp>& __ga)
    620     : _M_size(__ga._M_index.size()),
    621       _M_data(__valarray_get_storage<_Tp>(_M_size))
    622     {
    623       std::__valarray_copy_construct
    624 	(__ga._M_array, _Array<size_t>(__ga._M_index),
    625 	 _Array<_Tp>(_M_data), _M_size);
    626     }
    627 
    628   template<typename _Tp>
    629     inline
    630     valarray<_Tp>::valarray(const mask_array<_Tp>& __ma)
    631     : _M_size(__ma._M_sz), _M_data(__valarray_get_storage<_Tp>(__ma._M_sz))
    632     {
    633       std::__valarray_copy_construct
    634 	(__ma._M_array, __ma._M_mask, _Array<_Tp>(_M_data), _M_size);
    635     }
    636 
    637   template<typename _Tp>
    638     inline
    639     valarray<_Tp>::valarray(const indirect_array<_Tp>& __ia)
    640     : _M_size(__ia._M_sz), _M_data(__valarray_get_storage<_Tp>(__ia._M_sz))
    641     {
    642       std::__valarray_copy_construct
    643 	(__ia._M_array, __ia._M_index, _Array<_Tp>(_M_data), _M_size);
    644     }
    645 
    646 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    647   template<typename _Tp>
    648     inline
    649     valarray<_Tp>::valarray(initializer_list<_Tp> __l)
    650     : _M_size(__l.size()), _M_data(__valarray_get_storage<_Tp>(__l.size()))
    651     { std::__valarray_copy_construct (__l.begin(), __l.end(), _M_data); }
    652 #endif
    653 
    654   template<typename _Tp> template<class _Dom>
    655     inline
    656     valarray<_Tp>::valarray(const _Expr<_Dom, _Tp>& __e)
    657     : _M_size(__e.size()), _M_data(__valarray_get_storage<_Tp>(_M_size))
    658     { std::__valarray_copy_construct(__e, _M_size, _Array<_Tp>(_M_data)); }
    659 
    660   template<typename _Tp>
    661     inline
    662     valarray<_Tp>::~valarray()
    663     {
    664       std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
    665       std::__valarray_release_memory(_M_data);
    666     }
    667 
    668   template<typename _Tp>
    669     inline valarray<_Tp>&
    670     valarray<_Tp>::operator=(const valarray<_Tp>& __v)
    671     {
    672       _GLIBCXX_DEBUG_ASSERT(_M_size == __v._M_size);
    673       std::__valarray_copy(__v._M_data, _M_size, _M_data);
    674       return *this;
    675     }
    676 
    677 #ifdef __GXX_EXPERIMENTAL_CXX0X__
    678   template<typename _Tp>
    679     inline valarray<_Tp>&
    680     valarray<_Tp>::operator=(initializer_list<_Tp> __l)
    681     {
    682       _GLIBCXX_DEBUG_ASSERT(_M_size == __l.size());
    683       std::__valarray_copy(__l.begin(), __l.size(), _M_data);
    684       return *this;
    685     }
    686 #endif
    687 
    688   template<typename _Tp>
    689     inline valarray<_Tp>&
    690     valarray<_Tp>::operator=(const _Tp& __t)
    691     {
    692       std::__valarray_fill(_M_data, _M_size, __t);
    693       return *this;
    694     }
    695 
    696   template<typename _Tp>
    697     inline valarray<_Tp>&
    698     valarray<_Tp>::operator=(const slice_array<_Tp>& __sa)
    699     {
    700       _GLIBCXX_DEBUG_ASSERT(_M_size == __sa._M_sz);
    701       std::__valarray_copy(__sa._M_array, __sa._M_sz,
    702 			   __sa._M_stride, _Array<_Tp>(_M_data));
    703       return *this;
    704     }
    705 
    706   template<typename _Tp>
    707     inline valarray<_Tp>&
    708     valarray<_Tp>::operator=(const gslice_array<_Tp>& __ga)
    709     {
    710       _GLIBCXX_DEBUG_ASSERT(_M_size == __ga._M_index.size());
    711       std::__valarray_copy(__ga._M_array, _Array<size_t>(__ga._M_index),
    712 			   _Array<_Tp>(_M_data), _M_size);
    713       return *this;
    714     }
    715 
    716   template<typename _Tp>
    717     inline valarray<_Tp>&
    718     valarray<_Tp>::operator=(const mask_array<_Tp>& __ma)
    719     {
    720       _GLIBCXX_DEBUG_ASSERT(_M_size == __ma._M_sz);
    721       std::__valarray_copy(__ma._M_array, __ma._M_mask,
    722 			   _Array<_Tp>(_M_data), _M_size);
    723       return *this;
    724     }
    725 
    726   template<typename _Tp>
    727     inline valarray<_Tp>&
    728     valarray<_Tp>::operator=(const indirect_array<_Tp>& __ia)
    729     {
    730       _GLIBCXX_DEBUG_ASSERT(_M_size == __ia._M_sz);
    731       std::__valarray_copy(__ia._M_array, __ia._M_index,
    732 			   _Array<_Tp>(_M_data), _M_size);
    733       return *this;
    734     }
    735 
    736   template<typename _Tp> template<class _Dom>
    737     inline valarray<_Tp>&
    738     valarray<_Tp>::operator=(const _Expr<_Dom, _Tp>& __e)
    739     {
    740       _GLIBCXX_DEBUG_ASSERT(_M_size == __e.size());
    741       std::__valarray_copy(__e, _M_size, _Array<_Tp>(_M_data));
    742       return *this;
    743     }
    744 
    745   template<typename _Tp>
    746     inline _Expr<_SClos<_ValArray,_Tp>, _Tp>
    747     valarray<_Tp>::operator[](slice __s) const
    748     {
    749       typedef _SClos<_ValArray,_Tp> _Closure;
    750       return _Expr<_Closure, _Tp>(_Closure (_Array<_Tp>(_M_data), __s));
    751     }
    752 
    753   template<typename _Tp>
    754     inline slice_array<_Tp>
    755     valarray<_Tp>::operator[](slice __s)
    756     { return slice_array<_Tp>(_Array<_Tp>(_M_data), __s); }
    757 
    758   template<typename _Tp>
    759     inline _Expr<_GClos<_ValArray,_Tp>, _Tp>
    760     valarray<_Tp>::operator[](const gslice& __gs) const
    761     {
    762       typedef _GClos<_ValArray,_Tp> _Closure;
    763       return _Expr<_Closure, _Tp>
    764 	(_Closure(_Array<_Tp>(_M_data), __gs._M_index->_M_index));
    765     }
    766 
    767   template<typename _Tp>
    768     inline gslice_array<_Tp>
    769     valarray<_Tp>::operator[](const gslice& __gs)
    770     {
    771       return gslice_array<_Tp>
    772 	(_Array<_Tp>(_M_data), __gs._M_index->_M_index);
    773     }
    774 
    775   template<typename _Tp>
    776     inline valarray<_Tp>
    777     valarray<_Tp>::operator[](const valarray<bool>& __m) const
    778     {
    779       size_t __s = 0;
    780       size_t __e = __m.size();
    781       for (size_t __i=0; __i<__e; ++__i)
    782 	if (__m[__i]) ++__s;
    783       return valarray<_Tp>(mask_array<_Tp>(_Array<_Tp>(_M_data), __s,
    784 					   _Array<bool> (__m)));
    785     }
    786 
    787   template<typename _Tp>
    788     inline mask_array<_Tp>
    789     valarray<_Tp>::operator[](const valarray<bool>& __m)
    790     {
    791       size_t __s = 0;
    792       size_t __e = __m.size();
    793       for (size_t __i=0; __i<__e; ++__i)
    794 	if (__m[__i]) ++__s;
    795       return mask_array<_Tp>(_Array<_Tp>(_M_data), __s, _Array<bool>(__m));
    796     }
    797 
    798   template<typename _Tp>
    799     inline _Expr<_IClos<_ValArray,_Tp>, _Tp>
    800     valarray<_Tp>::operator[](const valarray<size_t>& __i) const
    801     {
    802       typedef _IClos<_ValArray,_Tp> _Closure;
    803       return _Expr<_Closure, _Tp>(_Closure(*this, __i));
    804     }
    805 
    806   template<typename _Tp>
    807     inline indirect_array<_Tp>
    808     valarray<_Tp>::operator[](const valarray<size_t>& __i)
    809     {
    810       return indirect_array<_Tp>(_Array<_Tp>(_M_data), __i.size(),
    811 				 _Array<size_t>(__i));
    812     }
    813 
    814   template<class _Tp>
    815     inline size_t 
    816     valarray<_Tp>::size() const
    817     { return _M_size; }
    818 
    819   template<class _Tp>
    820     inline _Tp
    821     valarray<_Tp>::sum() const
    822     {
    823       _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
    824       return std::__valarray_sum(_M_data, _M_data + _M_size);
    825     }
    826 
    827   template<class _Tp>
    828      inline valarray<_Tp>
    829      valarray<_Tp>::shift(int __n) const
    830      {
    831        valarray<_Tp> __ret;
    832 
    833        if (_M_size == 0)
    834 	 return __ret;
    835 
    836        _Tp* __restrict__ __tmp_M_data =
    837 	 std::__valarray_get_storage<_Tp>(_M_size);
    838 
    839        if (__n == 0)
    840 	 std::__valarray_copy_construct(_M_data,
    841 					_M_data + _M_size, __tmp_M_data);
    842        else if (__n > 0)      // shift left
    843 	 {
    844 	   if (size_t(__n) > _M_size)
    845 	     __n = int(_M_size);
    846 
    847 	   std::__valarray_copy_construct(_M_data + __n,
    848 					  _M_data + _M_size, __tmp_M_data);
    849 	   std::__valarray_default_construct(__tmp_M_data + _M_size - __n,
    850 					     __tmp_M_data + _M_size);
    851 	 }
    852        else                   // shift right
    853 	 {
    854 	   if (-size_t(__n) > _M_size)
    855 	     __n = -int(_M_size);
    856 
    857 	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
    858 					  __tmp_M_data - __n);
    859 	   std::__valarray_default_construct(__tmp_M_data,
    860 					     __tmp_M_data - __n);
    861 	 }
    862 
    863        __ret._M_size = _M_size;
    864        __ret._M_data = __tmp_M_data;
    865        return __ret;
    866      }
    867 
    868   template<class _Tp>
    869      inline valarray<_Tp>
    870      valarray<_Tp>::cshift(int __n) const
    871      {
    872        valarray<_Tp> __ret;
    873 
    874        if (_M_size == 0)
    875 	 return __ret;
    876 
    877        _Tp* __restrict__ __tmp_M_data =
    878 	 std::__valarray_get_storage<_Tp>(_M_size);
    879 
    880        if (__n == 0)
    881 	 std::__valarray_copy_construct(_M_data,
    882 					_M_data + _M_size, __tmp_M_data);
    883        else if (__n > 0)      // cshift left
    884 	 {
    885 	   if (size_t(__n) > _M_size)
    886 	     __n = int(__n % _M_size);
    887 
    888 	   std::__valarray_copy_construct(_M_data, _M_data + __n,
    889 					  __tmp_M_data + _M_size - __n);
    890 	   std::__valarray_copy_construct(_M_data + __n, _M_data + _M_size,
    891 					  __tmp_M_data);
    892 	 }
    893        else                   // cshift right
    894 	 {
    895 	   if (-size_t(__n) > _M_size)
    896 	     __n = -int(-size_t(__n) % _M_size);
    897 
    898 	   std::__valarray_copy_construct(_M_data + _M_size + __n,
    899 					  _M_data + _M_size, __tmp_M_data);
    900 	   std::__valarray_copy_construct(_M_data, _M_data + _M_size + __n,
    901 					  __tmp_M_data - __n);
    902 	 }
    903 
    904        __ret._M_size = _M_size;
    905        __ret._M_data = __tmp_M_data;
    906        return __ret;
    907      }
    908 
    909   template<class _Tp>
    910     inline void
    911     valarray<_Tp>::resize(size_t __n, _Tp __c)
    912     {
    913       // This complication is so to make valarray<valarray<T> > work
    914       // even though it is not required by the standard.  Nobody should
    915       // be saying valarray<valarray<T> > anyway.  See the specs.
    916       std::__valarray_destroy_elements(_M_data, _M_data + _M_size);
    917       if (_M_size != __n)
    918 	{
    919 	  std::__valarray_release_memory(_M_data);
    920 	  _M_size = __n;
    921 	  _M_data = __valarray_get_storage<_Tp>(__n);
    922 	}
    923       std::__valarray_fill_construct(_M_data, _M_data + __n, __c);
    924     }
    925     
    926   template<typename _Tp>
    927     inline _Tp
    928     valarray<_Tp>::min() const
    929     {
    930       _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
    931       return *std::min_element(_M_data, _M_data + _M_size);
    932     }
    933 
    934   template<typename _Tp>
    935     inline _Tp
    936     valarray<_Tp>::max() const
    937     {
    938       _GLIBCXX_DEBUG_ASSERT(_M_size > 0);
    939       return *std::max_element(_M_data, _M_data + _M_size);
    940     }
    941   
    942   template<class _Tp>
    943     inline _Expr<_ValFunClos<_ValArray, _Tp>, _Tp>
    944     valarray<_Tp>::apply(_Tp func(_Tp)) const
    945     {
    946       typedef _ValFunClos<_ValArray, _Tp> _Closure;
    947       return _Expr<_Closure, _Tp>(_Closure(*this, func));
    948     }
    949 
    950   template<class _Tp>
    951     inline _Expr<_RefFunClos<_ValArray, _Tp>, _Tp>
    952     valarray<_Tp>::apply(_Tp func(const _Tp &)) const
    953     {
    954       typedef _RefFunClos<_ValArray, _Tp> _Closure;
    955       return _Expr<_Closure, _Tp>(_Closure(*this, func));
    956     }
    957 
    958 #define _DEFINE_VALARRAY_UNARY_OPERATOR(_Op, _Name)                     \
    959   template<typename _Tp>						\
    960     inline typename valarray<_Tp>::template _UnaryOp<_Name>::_Rt      	\
    961     valarray<_Tp>::operator _Op() const					\
    962     {									\
    963       typedef _UnClos<_Name, _ValArray, _Tp> _Closure;	                \
    964       typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
    965       return _Expr<_Closure, _Rt>(_Closure(*this));			\
    966     }
    967 
    968     _DEFINE_VALARRAY_UNARY_OPERATOR(+, __unary_plus)
    969     _DEFINE_VALARRAY_UNARY_OPERATOR(-, __negate)
    970     _DEFINE_VALARRAY_UNARY_OPERATOR(~, __bitwise_not)
    971     _DEFINE_VALARRAY_UNARY_OPERATOR (!, __logical_not)
    972 
    973 #undef _DEFINE_VALARRAY_UNARY_OPERATOR
    974 
    975 #define _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(_Op, _Name)               \
    976   template<class _Tp>							\
    977     inline valarray<_Tp>&						\
    978     valarray<_Tp>::operator _Op##=(const _Tp &__t)			\
    979     {									\
    980       _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, __t);	\
    981       return *this;							\
    982     }									\
    983 									\
    984   template<class _Tp>							\
    985     inline valarray<_Tp>&						\
    986     valarray<_Tp>::operator _Op##=(const valarray<_Tp> &__v)		\
    987     {									\
    988       _GLIBCXX_DEBUG_ASSERT(_M_size == __v._M_size);                    \
    989       _Array_augmented_##_Name(_Array<_Tp>(_M_data), _M_size, 		\
    990 			       _Array<_Tp>(__v._M_data));		\
    991       return *this;							\
    992     }
    993 
    994 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(+, __plus)
    995 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(-, __minus)
    996 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(*, __multiplies)
    997 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(/, __divides)
    998 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(%, __modulus)
    999 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
   1000 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
   1001 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
   1002 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(<<, __shift_left)
   1003 _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT(>>, __shift_right)
   1004 
   1005 #undef _DEFINE_VALARRAY_AUGMENTED_ASSIGNMENT
   1006 
   1007 #define _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(_Op, _Name)          \
   1008   template<class _Tp> template<class _Dom>				\
   1009     inline valarray<_Tp>&						\
   1010     valarray<_Tp>::operator _Op##=(const _Expr<_Dom, _Tp>& __e)		\
   1011     {									\
   1012       _Array_augmented_##_Name(_Array<_Tp>(_M_data), __e, _M_size);	\
   1013       return *this;							\
   1014     }
   1015 
   1016 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(+, __plus)
   1017 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(-, __minus)
   1018 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(*, __multiplies)
   1019 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(/, __divides)
   1020 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(%, __modulus)
   1021 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(^, __bitwise_xor)
   1022 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(&, __bitwise_and)
   1023 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(|, __bitwise_or)
   1024 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(<<, __shift_left)
   1025 _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT(>>, __shift_right)
   1026 
   1027 #undef _DEFINE_VALARRAY_EXPR_AUGMENTED_ASSIGNMENT
   1028     
   1029 
   1030 #define _DEFINE_BINARY_OPERATOR(_Op, _Name)				\
   1031   template<typename _Tp>						\
   1032     inline _Expr<_BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp>,       \
   1033                  typename __fun<_Name, _Tp>::result_type>               \
   1034     operator _Op(const valarray<_Tp>& __v, const valarray<_Tp>& __w)	\
   1035     {									\
   1036       _GLIBCXX_DEBUG_ASSERT(__v.size() == __w.size());                  \
   1037       typedef _BinClos<_Name, _ValArray, _ValArray, _Tp, _Tp> _Closure; \
   1038       typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
   1039       return _Expr<_Closure, _Rt>(_Closure(__v, __w));                  \
   1040     }									\
   1041 									\
   1042   template<typename _Tp>						\
   1043     inline _Expr<_BinClos<_Name, _ValArray,_Constant, _Tp, _Tp>,        \
   1044                  typename __fun<_Name, _Tp>::result_type>               \
   1045     operator _Op(const valarray<_Tp>& __v, const _Tp& __t)		\
   1046     {									\
   1047       typedef _BinClos<_Name, _ValArray, _Constant, _Tp, _Tp> _Closure;	\
   1048       typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
   1049       return _Expr<_Closure, _Rt>(_Closure(__v, __t));	                \
   1050     }									\
   1051 									\
   1052   template<typename _Tp>						\
   1053     inline _Expr<_BinClos<_Name, _Constant, _ValArray, _Tp, _Tp>,       \
   1054                  typename __fun<_Name, _Tp>::result_type>               \
   1055     operator _Op(const _Tp& __t, const valarray<_Tp>& __v)		\
   1056     {									\
   1057       typedef _BinClos<_Name, _Constant, _ValArray, _Tp, _Tp> _Closure; \
   1058       typedef typename __fun<_Name, _Tp>::result_type _Rt;              \
   1059       return _Expr<_Closure, _Rt>(_Closure(__t, __v));        	        \
   1060     }
   1061 
   1062 _DEFINE_BINARY_OPERATOR(+, __plus)
   1063 _DEFINE_BINARY_OPERATOR(-, __minus)
   1064 _DEFINE_BINARY_OPERATOR(*, __multiplies)
   1065 _DEFINE_BINARY_OPERATOR(/, __divides)
   1066 _DEFINE_BINARY_OPERATOR(%, __modulus)
   1067 _DEFINE_BINARY_OPERATOR(^, __bitwise_xor)
   1068 _DEFINE_BINARY_OPERATOR(&, __bitwise_and)
   1069 _DEFINE_BINARY_OPERATOR(|, __bitwise_or)
   1070 _DEFINE_BINARY_OPERATOR(<<, __shift_left)
   1071 _DEFINE_BINARY_OPERATOR(>>, __shift_right)
   1072 _DEFINE_BINARY_OPERATOR(&&, __logical_and)
   1073 _DEFINE_BINARY_OPERATOR(||, __logical_or)
   1074 _DEFINE_BINARY_OPERATOR(==, __equal_to)
   1075 _DEFINE_BINARY_OPERATOR(!=, __not_equal_to)
   1076 _DEFINE_BINARY_OPERATOR(<, __less)
   1077 _DEFINE_BINARY_OPERATOR(>, __greater)
   1078 _DEFINE_BINARY_OPERATOR(<=, __less_equal)
   1079 _DEFINE_BINARY_OPERATOR(>=, __greater_equal)
   1080 
   1081 #undef _DEFINE_BINARY_OPERATOR
   1082 
   1083   // @} group numeric_arrays
   1084 
   1085 _GLIBCXX_END_NAMESPACE
   1086 
   1087 #endif /* _GLIBCXX_VALARRAY */
   1088