1// <bitset> -*- C++ -*-
2
3// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006
4// Free Software Foundation, Inc.
5//
6// This file is part of the GNU ISO C++ Library.  This library is free
7// software; you can redistribute it and/or modify it under the
8// terms of the GNU General Public License as published by the
9// Free Software Foundation; either version 2, or (at your option)
10// any later version.
11
12// This library is distributed in the hope that it will be useful,
13// but WITHOUT ANY WARRANTY; without even the implied warranty of
14// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
15// GNU General Public License for more details.
16
17// You should have received a copy of the GNU General Public License along
18// with this library; see the file COPYING.  If not, write to the Free
19// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
20// USA.
21
22// As a special exception, you may use this file as part of a free software
23// library without restriction.  Specifically, if other files instantiate
24// templates or use macros or inline functions from this file, or you compile
25// this file and link it with other files to produce an executable, this
26// file does not by itself cause the resulting executable to be covered by
27// the GNU General Public License.  This exception does not however
28// invalidate any other reasons why the executable file might be covered by
29// the GNU General Public License.
30
31/*
32 * Copyright (c) 1998
33 * Silicon Graphics Computer Systems, Inc.
34 *
35 * Permission to use, copy, modify, distribute and sell this software
36 * and its documentation for any purpose is hereby granted without fee,
37 * provided that the above copyright notice appear in all copies and
38 * that both that copyright notice and this permission notice appear
39 * in supporting documentation.  Silicon Graphics makes no
40 * representations about the suitability of this software for any
41 * purpose.  It is provided "as is" without express or implied warranty.
42 */
43
44/** @file include/bitset
45 *  This is a Standard C++ Library header.
46 */
47
48#ifndef _GLIBCXX_BITSET
49#define _GLIBCXX_BITSET 1
50
51#pragma GCC system_header
52
53#include <cstddef>     // For size_t
54#include <cstring>     // For memset
55#include <limits>      // For numeric_limits
56#include <string>
57#include <bits/functexcept.h>   // For invalid_argument, out_of_range,
58                                // overflow_error
59#include <ostream>     // For ostream (operator<<)
60#include <istream>     // For istream (operator>>)
61
62#define _GLIBCXX_BITSET_BITS_PER_WORD  numeric_limits<unsigned long>::digits
63#define _GLIBCXX_BITSET_WORDS(__n) \
64 ((__n) < 1 ? 0 : ((__n) + _GLIBCXX_BITSET_BITS_PER_WORD - 1) \
65                  / _GLIBCXX_BITSET_BITS_PER_WORD)
66
67_GLIBCXX_BEGIN_NESTED_NAMESPACE(std, _GLIBCXX_STD)
68
69  /**
70   *  @if maint
71   *  Base class, general case.  It is a class inveriant that _Nw will be
72   *  nonnegative.
73   *
74   *  See documentation for bitset.
75   *  @endif
76  */
77  template<size_t _Nw>
78    struct _Base_bitset
79    {
80      typedef unsigned long _WordT;
81
82      /// 0 is the least significant word.
83      _WordT 		_M_w[_Nw];
84
85      _Base_bitset()
86      { _M_do_reset(); }
87
88      _Base_bitset(unsigned long __val)
89      {
90	_M_do_reset();
91	_M_w[0] = __val;
92      }
93
94      static size_t
95      _S_whichword(size_t __pos )
96      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }
97
98      static size_t
99      _S_whichbyte(size_t __pos )
100      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }
101
102      static size_t
103      _S_whichbit(size_t __pos )
104      { return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }
105
106      static _WordT
107      _S_maskbit(size_t __pos )
108      { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }
109
110      _WordT&
111      _M_getword(size_t __pos)
112      { return _M_w[_S_whichword(__pos)]; }
113
114      _WordT
115      _M_getword(size_t __pos) const
116      { return _M_w[_S_whichword(__pos)]; }
117
118      _WordT&
119      _M_hiword()
120      { return _M_w[_Nw - 1]; }
121
122      _WordT
123      _M_hiword() const
124      { return _M_w[_Nw - 1]; }
125
126      void
127      _M_do_and(const _Base_bitset<_Nw>& __x)
128      {
129	for (size_t __i = 0; __i < _Nw; __i++)
130	  _M_w[__i] &= __x._M_w[__i];
131      }
132
133      void
134      _M_do_or(const _Base_bitset<_Nw>& __x)
135      {
136	for (size_t __i = 0; __i < _Nw; __i++)
137	  _M_w[__i] |= __x._M_w[__i];
138      }
139
140      void
141      _M_do_xor(const _Base_bitset<_Nw>& __x)
142      {
143	for (size_t __i = 0; __i < _Nw; __i++)
144	  _M_w[__i] ^= __x._M_w[__i];
145      }
146
147      void
148      _M_do_left_shift(size_t __shift);
149
150      void
151      _M_do_right_shift(size_t __shift);
152
153      void
154      _M_do_flip()
155      {
156	for (size_t __i = 0; __i < _Nw; __i++)
157	  _M_w[__i] = ~_M_w[__i];
158      }
159
160      void
161      _M_do_set()
162      {
163	for (size_t __i = 0; __i < _Nw; __i++)
164	  _M_w[__i] = ~static_cast<_WordT>(0);
165      }
166
167      void
168      _M_do_reset()
169      { std::memset(_M_w, 0, _Nw * sizeof(_WordT)); }
170
171      bool
172      _M_is_equal(const _Base_bitset<_Nw>& __x) const
173      {
174	for (size_t __i = 0; __i < _Nw; ++__i)
175	  {
176	    if (_M_w[__i] != __x._M_w[__i])
177	      return false;
178	  }
179	return true;
180      }
181
182      bool
183      _M_is_any() const
184      {
185	for (size_t __i = 0; __i < _Nw; __i++)
186	  {
187	    if (_M_w[__i] != static_cast<_WordT>(0))
188	      return true;
189	  }
190	return false;
191      }
192
193      size_t
194      _M_do_count() const
195      {
196	size_t __result = 0;
197	for (size_t __i = 0; __i < _Nw; __i++)
198	  __result += __builtin_popcountl(_M_w[__i]);
199	return __result;
200      }
201
202      unsigned long
203      _M_do_to_ulong() const;
204
205      // find first "on" bit
206      size_t
207      _M_do_find_first(size_t __not_found) const;
208
209      // find the next "on" bit that follows "prev"
210      size_t
211      _M_do_find_next(size_t __prev, size_t __not_found) const;
212    };
213
214  // Definitions of non-inline functions from _Base_bitset.
215  template<size_t _Nw>
216    void
217    _Base_bitset<_Nw>::_M_do_left_shift(size_t __shift)
218    {
219      if (__builtin_expect(__shift != 0, 1))
220	{
221	  const size_t __wshift = __shift / _GLIBCXX_BITSET_BITS_PER_WORD;
222	  const size_t __offset = __shift % _GLIBCXX_BITSET_BITS_PER_WORD;
223
224	  if (__offset == 0)
225	    for (size_t __n = _Nw - 1; __n >= __wshift; --__n)
226	      _M_w[__n] = _M_w[__n - __wshift];
227	  else
228	    {
229	      const size_t __sub_offset = (_GLIBCXX_BITSET_BITS_PER_WORD
230					   - __offset);
231	      for (size_t __n = _Nw - 1; __n > __wshift; --__n)
232		_M_w[__n] = ((_M_w[__n - __wshift] << __offset)
233			     | (_M_w[__n - __wshift - 1] >> __sub_offset));
234	      _M_w[__wshift] = _M_w[0] << __offset;
235	    }
236
237	  std::fill(_M_w + 0, _M_w + __wshift, static_cast<_WordT>(0));
238	}
239    }
240
241  template<size_t _Nw>
242    void
243    _Base_bitset<_Nw>::_M_do_right_shift(size_t __shift)
244    {
245      if (__builtin_expect(__shift != 0, 1))
246	{
247	  const size_t __wshift = __shift / _GLIBCXX_BITSET_BITS_PER_WORD;
248	  const size_t __offset = __shift % _GLIBCXX_BITSET_BITS_PER_WORD;
249	  const size_t __limit = _Nw - __wshift - 1;
250
251	  if (__offset == 0)
252	    for (size_t __n = 0; __n <= __limit; ++__n)
253	      _M_w[__n] = _M_w[__n + __wshift];
254	  else
255	    {
256	      const size_t __sub_offset = (_GLIBCXX_BITSET_BITS_PER_WORD
257					   - __offset);
258	      for (size_t __n = 0; __n < __limit; ++__n)
259		_M_w[__n] = ((_M_w[__n + __wshift] >> __offset)
260			     | (_M_w[__n + __wshift + 1] << __sub_offset));
261	      _M_w[__limit] = _M_w[_Nw-1] >> __offset;
262	    }
263
264	  std::fill(_M_w + __limit + 1, _M_w + _Nw, static_cast<_WordT>(0));
265	}
266    }
267
268  template<size_t _Nw>
269    unsigned long
270    _Base_bitset<_Nw>::_M_do_to_ulong() const
271    {
272      for (size_t __i = 1; __i < _Nw; ++__i)
273	if (_M_w[__i])
274	  __throw_overflow_error(__N("_Base_bitset::_M_do_to_ulong"));
275      return _M_w[0];
276    }
277
278  template<size_t _Nw>
279    size_t
280    _Base_bitset<_Nw>::_M_do_find_first(size_t __not_found) const
281    {
282      for (size_t __i = 0; __i < _Nw; __i++)
283	{
284	  _WordT __thisword = _M_w[__i];
285	  if (__thisword != static_cast<_WordT>(0))
286	    return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
287		    + __builtin_ctzl(__thisword));
288	}
289      // not found, so return an indication of failure.
290      return __not_found;
291    }
292
293  template<size_t _Nw>
294    size_t
295    _Base_bitset<_Nw>::_M_do_find_next(size_t __prev, size_t __not_found) const
296    {
297      // make bound inclusive
298      ++__prev;
299
300      // check out of bounds
301      if (__prev >= _Nw * _GLIBCXX_BITSET_BITS_PER_WORD)
302	return __not_found;
303
304      // search first word
305      size_t __i = _S_whichword(__prev);
306      _WordT __thisword = _M_w[__i];
307
308      // mask off bits below bound
309      __thisword &= (~static_cast<_WordT>(0)) << _S_whichbit(__prev);
310
311      if (__thisword != static_cast<_WordT>(0))
312	return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
313		+ __builtin_ctzl(__thisword));
314
315      // check subsequent words
316      __i++;
317      for (; __i < _Nw; __i++)
318	{
319	  __thisword = _M_w[__i];
320	  if (__thisword != static_cast<_WordT>(0))
321	    return (__i * _GLIBCXX_BITSET_BITS_PER_WORD
322		    + __builtin_ctzl(__thisword));
323	}
324      // not found, so return an indication of failure.
325      return __not_found;
326    } // end _M_do_find_next
327
328  /**
329   *  @if maint
330   *  Base class, specialization for a single word.
331   *
332   *  See documentation for bitset.
333   *  @endif
334  */
335  template<>
336    struct _Base_bitset<1>
337    {
338      typedef unsigned long _WordT;
339      _WordT _M_w;
340
341      _Base_bitset(void)
342      : _M_w(0)
343      { }
344
345      _Base_bitset(unsigned long __val)
346      : _M_w(__val)
347      { }
348
349      static size_t
350      _S_whichword(size_t __pos )
351      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }
352
353      static size_t
354      _S_whichbyte(size_t __pos )
355      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }
356
357      static size_t
358      _S_whichbit(size_t __pos )
359      {  return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }
360
361      static _WordT
362      _S_maskbit(size_t __pos )
363      { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }
364
365      _WordT&
366      _M_getword(size_t)
367      { return _M_w; }
368
369      _WordT
370      _M_getword(size_t) const
371      { return _M_w; }
372
373      _WordT&
374      _M_hiword()
375      { return _M_w; }
376
377      _WordT
378      _M_hiword() const
379      { return _M_w; }
380
381      void
382      _M_do_and(const _Base_bitset<1>& __x)
383      { _M_w &= __x._M_w; }
384
385      void
386      _M_do_or(const _Base_bitset<1>& __x)
387      { _M_w |= __x._M_w; }
388
389      void
390      _M_do_xor(const _Base_bitset<1>& __x)
391      { _M_w ^= __x._M_w; }
392
393      void
394      _M_do_left_shift(size_t __shift)
395      { _M_w <<= __shift; }
396
397      void
398      _M_do_right_shift(size_t __shift)
399      { _M_w >>= __shift; }
400
401      void
402      _M_do_flip()
403      { _M_w = ~_M_w; }
404
405      void
406      _M_do_set()
407      { _M_w = ~static_cast<_WordT>(0); }
408
409      void
410      _M_do_reset()
411      { _M_w = 0; }
412
413      bool
414      _M_is_equal(const _Base_bitset<1>& __x) const
415      { return _M_w == __x._M_w; }
416
417      bool
418      _M_is_any() const
419      { return _M_w != 0; }
420
421      size_t
422      _M_do_count() const
423      { return __builtin_popcountl(_M_w); }
424
425      unsigned long
426      _M_do_to_ulong() const
427      { return _M_w; }
428
429      size_t
430      _M_do_find_first(size_t __not_found) const
431      {
432        if (_M_w != 0)
433          return __builtin_ctzl(_M_w);
434        else
435          return __not_found;
436      }
437
438      // find the next "on" bit that follows "prev"
439      size_t
440      _M_do_find_next(size_t __prev, size_t __not_found) const
441      {
442	++__prev;
443	if (__prev >= ((size_t) _GLIBCXX_BITSET_BITS_PER_WORD))
444	  return __not_found;
445
446	_WordT __x = _M_w >> __prev;
447	if (__x != 0)
448	  return __builtin_ctzl(__x) + __prev;
449	else
450	  return __not_found;
451      }
452    };
453
454  /**
455   *  @if maint
456   *  Base class, specialization for no storage (zero-length %bitset).
457   *
458   *  See documentation for bitset.
459   *  @endif
460  */
461  template<>
462    struct _Base_bitset<0>
463    {
464      typedef unsigned long _WordT;
465
466      _Base_bitset()
467      { }
468
469      _Base_bitset(unsigned long)
470      { }
471
472      static size_t
473      _S_whichword(size_t __pos )
474      { return __pos / _GLIBCXX_BITSET_BITS_PER_WORD; }
475
476      static size_t
477      _S_whichbyte(size_t __pos )
478      { return (__pos % _GLIBCXX_BITSET_BITS_PER_WORD) / __CHAR_BIT__; }
479
480      static size_t
481      _S_whichbit(size_t __pos )
482      {  return __pos % _GLIBCXX_BITSET_BITS_PER_WORD; }
483
484      static _WordT
485      _S_maskbit(size_t __pos )
486      { return (static_cast<_WordT>(1)) << _S_whichbit(__pos); }
487
488      // This would normally give access to the data.  The bounds-checking
489      // in the bitset class will prevent the user from getting this far,
490      // but (1) it must still return an lvalue to compile, and (2) the
491      // user might call _Unchecked_set directly, in which case this /needs/
492      // to fail.  Let's not penalize zero-length users unless they actually
493      // make an unchecked call; all the memory ugliness is therefore
494      // localized to this single should-never-get-this-far function.
495      _WordT&
496      _M_getword(size_t) const
497      {
498	__throw_out_of_range(__N("_Base_bitset::_M_getword"));
499	return *new _WordT;
500      }
501
502      _WordT
503      _M_hiword() const
504      { return 0; }
505
506      void
507      _M_do_and(const _Base_bitset<0>&)
508      { }
509
510      void
511      _M_do_or(const _Base_bitset<0>&)
512      { }
513
514      void
515      _M_do_xor(const _Base_bitset<0>&)
516      { }
517
518      void
519      _M_do_left_shift(size_t)
520      { }
521
522      void
523      _M_do_right_shift(size_t)
524      { }
525
526      void
527      _M_do_flip()
528      { }
529
530      void
531      _M_do_set()
532      { }
533
534      void
535      _M_do_reset()
536      { }
537
538      // Are all empty bitsets equal to each other?  Are they equal to
539      // themselves?  How to compare a thing which has no state?  What is
540      // the sound of one zero-length bitset clapping?
541      bool
542      _M_is_equal(const _Base_bitset<0>&) const
543      { return true; }
544
545      bool
546      _M_is_any() const
547      { return false; }
548
549      size_t
550      _M_do_count() const
551      { return 0; }
552
553      unsigned long
554      _M_do_to_ulong() const
555      { return 0; }
556
557      // Normally "not found" is the size, but that could also be
558      // misinterpreted as an index in this corner case.  Oh well.
559      size_t
560      _M_do_find_first(size_t) const
561      { return 0; }
562
563      size_t
564      _M_do_find_next(size_t, size_t) const
565      { return 0; }
566    };
567
568
569  // Helper class to zero out the unused high-order bits in the highest word.
570  template<size_t _Extrabits>
571    struct _Sanitize
572    {
573      static void _S_do_sanitize(unsigned long& __val)
574      { __val &= ~((~static_cast<unsigned long>(0)) << _Extrabits); }
575    };
576
577  template<>
578    struct _Sanitize<0>
579    { static void _S_do_sanitize(unsigned long) {} };
580
581  /**
582   *  @brief  The %bitset class represents a @e fixed-size sequence of bits.
583   *
584   *  @ingroup Containers
585   *
586   *  (Note that %bitset does @e not meet the formal requirements of a
587   *  <a href="tables.html#65">container</a>.  Mainly, it lacks iterators.)
588   *
589   *  The template argument, @a Nb, may be any non-negative number,
590   *  specifying the number of bits (e.g., "0", "12", "1024*1024").
591   *
592   *  In the general unoptimized case, storage is allocated in word-sized
593   *  blocks.  Let B be the number of bits in a word, then (Nb+(B-1))/B
594   *  words will be used for storage.  B - Nb%B bits are unused.  (They are
595   *  the high-order bits in the highest word.)  It is a class invariant
596   *  that those unused bits are always zero.
597   *
598   *  If you think of %bitset as "a simple array of bits," be aware that
599   *  your mental picture is reversed:  a %bitset behaves the same way as
600   *  bits in integers do, with the bit at index 0 in the "least significant
601   *  / right-hand" position, and the bit at index Nb-1 in the "most
602   *  significant / left-hand" position.  Thus, unlike other containers, a
603   *  %bitset's index "counts from right to left," to put it very loosely.
604   *
605   *  This behavior is preserved when translating to and from strings.  For
606   *  example, the first line of the following program probably prints
607   *  "b('a') is 0001100001" on a modern ASCII system.
608   *
609   *  @code
610   *     #include <bitset>
611   *     #include <iostream>
612   *     #include <sstream>
613   *
614   *     using namespace std;
615   *
616   *     int main()
617   *     {
618   *         long         a = 'a';
619   *         bitset<10>   b(a);
620   *
621   *         cout << "b('a') is " << b << endl;
622   *
623   *         ostringstream s;
624   *         s << b;
625   *         string  str = s.str();
626   *         cout << "index 3 in the string is " << str[3] << " but\n"
627   *              << "index 3 in the bitset is " << b[3] << endl;
628   *     }
629   *  @endcode
630   *
631   *  Also see http://gcc.gnu.org/onlinedocs/libstdc++/ext/sgiexts.html#ch23
632   *  for a description of extensions.
633   *
634   *  @if maint
635   *  Most of the actual code isn't contained in %bitset<> itself, but in the
636   *  base class _Base_bitset.  The base class works with whole words, not with
637   *  individual bits.  This allows us to specialize _Base_bitset for the
638   *  important special case where the %bitset is only a single word.
639   *
640   *  Extra confusion can result due to the fact that the storage for
641   *  _Base_bitset @e is a regular array, and is indexed as such.  This is
642   *  carefully encapsulated.
643   *  @endif
644  */
645  template<size_t _Nb>
646    class bitset
647    : private _Base_bitset<_GLIBCXX_BITSET_WORDS(_Nb)>
648    {
649    private:
650      typedef _Base_bitset<_GLIBCXX_BITSET_WORDS(_Nb)> _Base;
651      typedef unsigned long _WordT;
652
653      void
654	_M_do_sanitize()
655	{
656	  _Sanitize<_Nb % _GLIBCXX_BITSET_BITS_PER_WORD>::
657	    _S_do_sanitize(this->_M_hiword());
658	}
659
660    public:
661      /**
662       *  This encapsulates the concept of a single bit.  An instance of this
663       *  class is a proxy for an actual bit; this way the individual bit
664       *  operations are done as faster word-size bitwise instructions.
665       *
666       *  Most users will never need to use this class directly; conversions
667       *  to and from bool are automatic and should be transparent.  Overloaded
668       *  operators help to preserve the illusion.
669       *
670       *  (On a typical system, this "bit %reference" is 64 times the size of
671       *  an actual bit.  Ha.)
672       */
673      class reference
674      {
675	friend class bitset;
676
677	_WordT *_M_wp;
678	size_t _M_bpos;
679
680	// left undefined
681	reference();
682
683      public:
684	reference(bitset& __b, size_t __pos)
685	{
686	  _M_wp = &__b._M_getword(__pos);
687	  _M_bpos = _Base::_S_whichbit(__pos);
688	}
689
690	~reference()
691	{ }
692
693	// For b[i] = __x;
694	reference&
695	operator=(bool __x)
696	{
697	  if (__x)
698	    *_M_wp |= _Base::_S_maskbit(_M_bpos);
699	  else
700	    *_M_wp &= ~_Base::_S_maskbit(_M_bpos);
701	  return *this;
702	}
703
704	// For b[i] = b[__j];
705	reference&
706	operator=(const reference& __j)
707	{
708	  if ((*(__j._M_wp) & _Base::_S_maskbit(__j._M_bpos)))
709	    *_M_wp |= _Base::_S_maskbit(_M_bpos);
710	  else
711	    *_M_wp &= ~_Base::_S_maskbit(_M_bpos);
712	  return *this;
713	}
714
715	// Flips the bit
716	bool
717	operator~() const
718	{ return (*(_M_wp) & _Base::_S_maskbit(_M_bpos)) == 0; }
719
720	// For __x = b[i];
721	operator bool() const
722	{ return (*(_M_wp) & _Base::_S_maskbit(_M_bpos)) != 0; }
723
724	// For b[i].flip();
725	reference&
726	flip()
727	{
728	  *_M_wp ^= _Base::_S_maskbit(_M_bpos);
729	  return *this;
730	}
731      };
732      friend class reference;
733
734      // 23.3.5.1 constructors:
735      /// All bits set to zero.
736      bitset()
737      { }
738
739      /// Initial bits bitwise-copied from a single word (others set to zero).
740      bitset(unsigned long __val)
741      : _Base(__val)
742      { _M_do_sanitize(); }
743
744      /**
745       *  @brief  Use a subset of a string.
746       *  @param  s  A string of '0' and '1' characters.
747       *  @param  position  Index of the first character in @a s to use;
748       *                    defaults to zero.
749       *  @throw  std::out_of_range  If @a pos is bigger the size of @a s.
750       *  @throw  std::invalid_argument  If a character appears in the string
751       *                                 which is neither '0' nor '1'.
752       */
753      template<class _CharT, class _Traits, class _Alloc>
754	explicit
755	bitset(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
756	       size_t __position = 0)
757	: _Base()
758	{
759	  if (__position > __s.size())
760	    __throw_out_of_range(__N("bitset::bitset initial position "
761				     "not valid"));
762	  _M_copy_from_string(__s, __position,
763			      std::basic_string<_CharT, _Traits, _Alloc>::npos);
764	}
765
766      /**
767       *  @brief  Use a subset of a string.
768       *  @param  s  A string of '0' and '1' characters.
769       *  @param  position  Index of the first character in @a s to use.
770       *  @param  n    The number of characters to copy.
771       *  @throw  std::out_of_range  If @a pos is bigger the size of @a s.
772       *  @throw  std::invalid_argument  If a character appears in the string
773       *                                 which is neither '0' nor '1'.
774       */
775      template<class _CharT, class _Traits, class _Alloc>
776	bitset(const std::basic_string<_CharT, _Traits, _Alloc>& __s,
777	       size_t __position, size_t __n)
778	: _Base()
779	{
780	  if (__position > __s.size())
781	    __throw_out_of_range(__N("bitset::bitset initial position "
782				     "not valid"));
783	  _M_copy_from_string(__s, __position, __n);
784	}
785
786      // 23.3.5.2 bitset operations:
787      //@{
788      /**
789       *  @brief  Operations on bitsets.
790       *  @param  rhs  A same-sized bitset.
791       *
792       *  These should be self-explanatory.
793       */
794      bitset<_Nb>&
795      operator&=(const bitset<_Nb>& __rhs)
796      {
797	this->_M_do_and(__rhs);
798	return *this;
799      }
800
801      bitset<_Nb>&
802      operator|=(const bitset<_Nb>& __rhs)
803      {
804	this->_M_do_or(__rhs);
805	return *this;
806      }
807
808      bitset<_Nb>&
809      operator^=(const bitset<_Nb>& __rhs)
810      {
811	this->_M_do_xor(__rhs);
812	return *this;
813      }
814      //@}
815
816      //@{
817      /**
818       *  @brief  Operations on bitsets.
819       *  @param  position  The number of places to shift.
820       *
821       *  These should be self-explanatory.
822       */
823      bitset<_Nb>&
824      operator<<=(size_t __position)
825      {
826	if (__builtin_expect(__position < _Nb, 1))
827	  {
828	    this->_M_do_left_shift(__position);
829	    this->_M_do_sanitize();
830	  }
831	else
832	  this->_M_do_reset();
833	return *this;
834      }
835
836      bitset<_Nb>&
837      operator>>=(size_t __position)
838      {
839	if (__builtin_expect(__position < _Nb, 1))
840	  {
841	    this->_M_do_right_shift(__position);
842	    this->_M_do_sanitize();
843	  }
844	else
845	  this->_M_do_reset();
846	return *this;
847      }
848      //@}
849
850      //@{
851      /**
852       *  These versions of single-bit set, reset, flip, and test are
853       *  extensions from the SGI version.  They do no range checking.
854       *  @ingroup SGIextensions
855       */
856      bitset<_Nb>&
857      _Unchecked_set(size_t __pos)
858      {
859	this->_M_getword(__pos) |= _Base::_S_maskbit(__pos);
860	return *this;
861      }
862
863      bitset<_Nb>&
864      _Unchecked_set(size_t __pos, int __val)
865      {
866	if (__val)
867	  this->_M_getword(__pos) |= _Base::_S_maskbit(__pos);
868	else
869	  this->_M_getword(__pos) &= ~_Base::_S_maskbit(__pos);
870	return *this;
871      }
872
873      bitset<_Nb>&
874      _Unchecked_reset(size_t __pos)
875      {
876	this->_M_getword(__pos) &= ~_Base::_S_maskbit(__pos);
877	return *this;
878      }
879
880      bitset<_Nb>&
881      _Unchecked_flip(size_t __pos)
882      {
883	this->_M_getword(__pos) ^= _Base::_S_maskbit(__pos);
884	return *this;
885      }
886
887      bool
888      _Unchecked_test(size_t __pos) const
889      { return ((this->_M_getword(__pos) & _Base::_S_maskbit(__pos))
890		!= static_cast<_WordT>(0)); }
891      //@}
892
893      // Set, reset, and flip.
894      /**
895       *  @brief Sets every bit to true.
896       */
897      bitset<_Nb>&
898      set()
899      {
900	this->_M_do_set();
901	this->_M_do_sanitize();
902	return *this;
903      }
904
905      /**
906       *  @brief Sets a given bit to a particular value.
907       *  @param  position  The index of the bit.
908       *  @param  val  Either true or false, defaults to true.
909       *  @throw  std::out_of_range  If @a pos is bigger the size of the %set.
910       */
911      bitset<_Nb>&
912      set(size_t __position, bool __val = true)
913      {
914	if (__position >= _Nb)
915	  __throw_out_of_range(__N("bitset::set"));
916	return _Unchecked_set(__position, __val);
917      }
918
919      /**
920       *  @brief Sets every bit to false.
921       */
922      bitset<_Nb>&
923      reset()
924      {
925	this->_M_do_reset();
926	return *this;
927      }
928
929      /**
930       *  @brief Sets a given bit to false.
931       *  @param  position  The index of the bit.
932       *  @throw  std::out_of_range  If @a pos is bigger the size of the %set.
933       *
934       *  Same as writing @c set(pos,false).
935       */
936      bitset<_Nb>&
937      reset(size_t __position)
938      {
939	if (__position >= _Nb)
940	  __throw_out_of_range(__N("bitset::reset"));
941	return _Unchecked_reset(__position);
942      }
943
944      /**
945       *  @brief Toggles every bit to its opposite value.
946       */
947      bitset<_Nb>&
948      flip()
949      {
950	this->_M_do_flip();
951	this->_M_do_sanitize();
952	return *this;
953      }
954
955      /**
956       *  @brief Toggles a given bit to its opposite value.
957       *  @param  position  The index of the bit.
958       *  @throw  std::out_of_range  If @a pos is bigger the size of the %set.
959       */
960      bitset<_Nb>&
961      flip(size_t __position)
962      {
963	if (__position >= _Nb)
964	  __throw_out_of_range(__N("bitset::flip"));
965	return _Unchecked_flip(__position);
966      }
967
968      /// See the no-argument flip().
969      bitset<_Nb>
970      operator~() const
971      { return bitset<_Nb>(*this).flip(); }
972
973      //@{
974      /**
975       *  @brief  Array-indexing support.
976       *  @param  position  Index into the %bitset.
977       *  @return  A bool for a 'const %bitset'.  For non-const bitsets, an
978       *           instance of the reference proxy class.
979       *  @note  These operators do no range checking and throw no exceptions,
980       *         as required by DR 11 to the standard.
981       *
982       *  @if maint
983       *  _GLIBCXX_RESOLVE_LIB_DEFECTS Note that this implementation already
984       *  resolves DR 11 (items 1 and 2), but does not do the range-checking
985       *  required by that DR's resolution.  -pme
986       *  The DR has since been changed:  range-checking is a precondition
987       *  (users' responsibility), and these functions must not throw.  -pme
988       *  @endif
989       */
990      reference
991      operator[](size_t __position)
992      { return reference(*this,__position); }
993
994      bool
995      operator[](size_t __position) const
996      { return _Unchecked_test(__position); }
997      //@}
998
999      /**
1000       *  @brief Retuns a numerical interpretation of the %bitset.
1001       *  @return  The integral equivalent of the bits.
1002       *  @throw  std::overflow_error  If there are too many bits to be
1003       *                               represented in an @c unsigned @c long.
1004       */
1005      unsigned long
1006      to_ulong() const
1007      { return this->_M_do_to_ulong(); }
1008
1009      /**
1010       *  @brief Retuns a character interpretation of the %bitset.
1011       *  @return  The string equivalent of the bits.
1012       *
1013       *  Note the ordering of the bits:  decreasing character positions
1014       *  correspond to increasing bit positions (see the main class notes for
1015       *  an example).
1016       */
1017      template<class _CharT, class _Traits, class _Alloc>
1018	std::basic_string<_CharT, _Traits, _Alloc>
1019	to_string() const
1020	{
1021	  std::basic_string<_CharT, _Traits, _Alloc> __result;
1022	  _M_copy_to_string(__result);
1023	  return __result;
1024	}
1025
1026      // _GLIBCXX_RESOLVE_LIB_DEFECTS
1027      // 434. bitset::to_string() hard to use.
1028      template<class _CharT, class _Traits>
1029	std::basic_string<_CharT, _Traits, std::allocator<_CharT> >
1030	to_string() const
1031	{ return to_string<_CharT, _Traits, std::allocator<_CharT> >(); }
1032
1033      template<class _CharT>
1034	std::basic_string<_CharT, std::char_traits<_CharT>,
1035	                  std::allocator<_CharT> >
1036	to_string() const
1037	{
1038	  return to_string<_CharT, std::char_traits<_CharT>,
1039	                   std::allocator<_CharT> >();
1040	}
1041
1042      std::basic_string<char, std::char_traits<char>, std::allocator<char> >
1043      to_string() const
1044      {
1045	return to_string<char, std::char_traits<char>,
1046	                 std::allocator<char> >();
1047      }
1048
1049      // Helper functions for string operations.
1050      template<class _CharT, class _Traits, class _Alloc>
1051	void
1052	_M_copy_from_string(const std::basic_string<_CharT,
1053			    _Traits, _Alloc>& __s,
1054			    size_t, size_t);
1055
1056      template<class _CharT, class _Traits, class _Alloc>
1057	void
1058	_M_copy_to_string(std::basic_string<_CharT, _Traits, _Alloc>&) const;
1059
1060      /// Returns the number of bits which are set.
1061      size_t
1062      count() const
1063      { return this->_M_do_count(); }
1064
1065      /// Returns the total number of bits.
1066      size_t
1067      size() const
1068      { return _Nb; }
1069
1070      //@{
1071      /// These comparisons for equality/inequality are, well, @e bitwise.
1072      bool
1073      operator==(const bitset<_Nb>& __rhs) const
1074      { return this->_M_is_equal(__rhs); }
1075
1076      bool
1077      operator!=(const bitset<_Nb>& __rhs) const
1078      { return !this->_M_is_equal(__rhs); }
1079      //@}
1080
1081      /**
1082       *  @brief Tests the value of a bit.
1083       *  @param  position  The index of a bit.
1084       *  @return  The value at @a pos.
1085       *  @throw  std::out_of_range  If @a pos is bigger the size of the %set.
1086       */
1087      bool
1088      test(size_t __position) const
1089      {
1090	if (__position >= _Nb)
1091	  __throw_out_of_range(__N("bitset::test"));
1092	return _Unchecked_test(__position);
1093      }
1094
1095      /**
1096       *  @brief Tests whether any of the bits are on.
1097       *  @return  True if at least one bit is set.
1098       */
1099      bool
1100      any() const
1101      { return this->_M_is_any(); }
1102
1103      /**
1104       *  @brief Tests whether any of the bits are on.
1105       *  @return  True if none of the bits are set.
1106       */
1107      bool
1108      none() const
1109      { return !this->_M_is_any(); }
1110
1111      //@{
1112      /// Self-explanatory.
1113      bitset<_Nb>
1114      operator<<(size_t __position) const
1115      { return bitset<_Nb>(*this) <<= __position; }
1116
1117      bitset<_Nb>
1118      operator>>(size_t __position) const
1119      { return bitset<_Nb>(*this) >>= __position; }
1120      //@}
1121
1122      /**
1123       *  @brief  Finds the index of the first "on" bit.
1124       *  @return  The index of the first bit set, or size() if not found.
1125       *  @ingroup SGIextensions
1126       *  @sa  _Find_next
1127       */
1128      size_t
1129      _Find_first() const
1130      { return this->_M_do_find_first(_Nb); }
1131
1132      /**
1133       *  @brief  Finds the index of the next "on" bit after prev.
1134       *  @return  The index of the next bit set, or size() if not found.
1135       *  @param  prev  Where to start searching.
1136       *  @ingroup SGIextensions
1137       *  @sa  _Find_first
1138       */
1139      size_t
1140      _Find_next(size_t __prev ) const
1141      { return this->_M_do_find_next(__prev, _Nb); }
1142    };
1143
1144  // Definitions of non-inline member functions.
1145  template<size_t _Nb>
1146    template<class _CharT, class _Traits, class _Alloc>
1147      void
1148      bitset<_Nb>::
1149      _M_copy_from_string(const std::basic_string<_CharT, _Traits,
1150			  _Alloc>& __s, size_t __pos, size_t __n)
1151      {
1152	reset();
1153	const size_t __nbits = std::min(_Nb, std::min(__n, __s.size() - __pos));
1154	for (size_t __i = __nbits; __i > 0; --__i)
1155	  {
1156	    switch(__s[__pos + __nbits - __i])
1157	      {
1158	      case '0':
1159		break;
1160	      case '1':
1161		_Unchecked_set(__i - 1);
1162		break;
1163	      default:
1164		__throw_invalid_argument(__N("bitset::_M_copy_from_string"));
1165	      }
1166	  }
1167      }
1168
1169  template<size_t _Nb>
1170    template<class _CharT, class _Traits, class _Alloc>
1171      void
1172      bitset<_Nb>::
1173      _M_copy_to_string(std::basic_string<_CharT, _Traits, _Alloc>& __s) const
1174      {
1175	__s.assign(_Nb, '0');
1176	for (size_t __i = _Nb; __i > 0; --__i)
1177	  if (_Unchecked_test(__i - 1))
1178	    __s[_Nb - __i] = '1';
1179      }
1180
1181  // 23.3.5.3 bitset operations:
1182  //@{
1183  /**
1184   *  @brief  Global bitwise operations on bitsets.
1185   *  @param  x  A bitset.
1186   *  @param  y  A bitset of the same size as @a x.
1187   *  @return  A new bitset.
1188   *
1189   *  These should be self-explanatory.
1190  */
1191  template<size_t _Nb>
1192    inline bitset<_Nb>
1193    operator&(const bitset<_Nb>& __x, const bitset<_Nb>& __y)
1194    {
1195      bitset<_Nb> __result(__x);
1196      __result &= __y;
1197      return __result;
1198    }
1199
1200  template<size_t _Nb>
1201    inline bitset<_Nb>
1202    operator|(const bitset<_Nb>& __x, const bitset<_Nb>& __y)
1203    {
1204      bitset<_Nb> __result(__x);
1205      __result |= __y;
1206      return __result;
1207    }
1208
1209  template <size_t _Nb>
1210    inline bitset<_Nb>
1211    operator^(const bitset<_Nb>& __x, const bitset<_Nb>& __y)
1212    {
1213      bitset<_Nb> __result(__x);
1214      __result ^= __y;
1215      return __result;
1216    }
1217  //@}
1218
1219  //@{
1220  /**
1221   *  @brief Global I/O operators for bitsets.
1222   *
1223   *  Direct I/O between streams and bitsets is supported.  Output is
1224   *  straightforward.  Input will skip whitespace, only accept '0' and '1'
1225   *  characters, and will only extract as many digits as the %bitset will
1226   *  hold.
1227  */
1228  template<class _CharT, class _Traits, size_t _Nb>
1229    std::basic_istream<_CharT, _Traits>&
1230    operator>>(std::basic_istream<_CharT, _Traits>& __is, bitset<_Nb>& __x)
1231    {
1232      typedef typename _Traits::char_type char_type;
1233      std::basic_string<_CharT, _Traits> __tmp;
1234      __tmp.reserve(_Nb);
1235
1236      std::ios_base::iostate __state = std::ios_base::goodbit;
1237      typename std::basic_istream<_CharT, _Traits>::sentry __sentry(__is);
1238      if (__sentry)
1239	{
1240	  try
1241	    {
1242	      basic_streambuf<_CharT, _Traits>* __buf = __is.rdbuf();
1243	      // _GLIBCXX_RESOLVE_LIB_DEFECTS
1244	      // 303. Bitset input operator underspecified
1245	      const char_type __zero = __is.widen('0');
1246	      const char_type __one = __is.widen('1');
1247	      for (size_t __i = _Nb; __i > 0; --__i)
1248		{
1249		  static typename _Traits::int_type __eof = _Traits::eof();
1250
1251		  typename _Traits::int_type __c1 = __buf->sbumpc();
1252		  if (_Traits::eq_int_type(__c1, __eof))
1253		    {
1254		      __state |= std::ios_base::eofbit;
1255		      break;
1256		    }
1257		  else
1258		    {
1259		      const char_type __c2 = _Traits::to_char_type(__c1);
1260		      if (__c2 == __zero)
1261			__tmp.push_back('0');
1262		      else if (__c2 == __one)
1263			__tmp.push_back('1');
1264		      else if (_Traits::eq_int_type(__buf->sputbackc(__c2),
1265						    __eof))
1266			{
1267			  __state |= std::ios_base::failbit;
1268			  break;
1269			}
1270		    }
1271		}
1272	    }
1273	  catch(...)
1274	    { __is._M_setstate(std::ios_base::badbit); }
1275	}
1276
1277      if (__tmp.empty() && _Nb)
1278	__state |= std::ios_base::failbit;
1279      else
1280	__x._M_copy_from_string(__tmp, static_cast<size_t>(0), _Nb);
1281      if (__state)
1282	__is.setstate(__state);
1283      return __is;
1284    }
1285
1286  template <class _CharT, class _Traits, size_t _Nb>
1287    std::basic_ostream<_CharT, _Traits>&
1288    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
1289	       const bitset<_Nb>& __x)
1290    {
1291      std::basic_string<_CharT, _Traits> __tmp;
1292      __x._M_copy_to_string(__tmp);
1293      return __os << __tmp;
1294    }
1295
1296  // Specializations for zero-sized bitsets, to avoid "unsigned comparison
1297  // with zero" warnings.
1298  template<>
1299    inline bitset<0>&
1300    bitset<0>::
1301    set(size_t, bool)
1302    {
1303      __throw_out_of_range(__N("bitset::set"));
1304      return *this;
1305    }
1306
1307  template<>
1308    inline bitset<0>&
1309    bitset<0>::
1310    reset(size_t)
1311    {
1312      __throw_out_of_range(__N("bitset::reset"));
1313      return *this;
1314    }
1315
1316  template<>
1317    inline bitset<0>&
1318    bitset<0>::
1319    flip(size_t)
1320    {
1321      __throw_out_of_range(__N("bitset::flip"));
1322      return *this;
1323    }
1324
1325  template<>
1326    inline bool
1327    bitset<0>::
1328    test(size_t) const
1329    {
1330      __throw_out_of_range(__N("bitset::test"));
1331      return false;
1332    }
1333  //@}
1334
1335_GLIBCXX_END_NESTED_NAMESPACE
1336
1337#undef _GLIBCXX_BITSET_WORDS
1338#undef _GLIBCXX_BITSET_BITS_PER_WORD
1339
1340#ifdef _GLIBCXX_DEBUG
1341# include <debug/bitset>
1342#endif
1343
1344#endif /* _GLIBCXX_BITSET */
1345