1// Algorithm extensions -*- C++ -*-
2
3// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008,
4// 2009, 2010, 2011
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/*
28 *
29 * Copyright (c) 1994
30 * Hewlett-Packard Company
31 *
32 * Permission to use, copy, modify, distribute and sell this software
33 * and its documentation for any purpose is hereby granted without fee,
34 * provided that the above copyright notice appear in all copies and
35 * that both that copyright notice and this permission notice appear
36 * in supporting documentation.  Hewlett-Packard Company makes no
37 * representations about the suitability of this software for any
38 * purpose.  It is provided "as is" without express or implied warranty.
39 *
40 *
41 * Copyright (c) 1996
42 * Silicon Graphics Computer Systems, Inc.
43 *
44 * Permission to use, copy, modify, distribute and sell this software
45 * and its documentation for any purpose is hereby granted without fee,
46 * provided that the above copyright notice appear in all copies and
47 * that both that copyright notice and this permission notice appear
48 * in supporting documentation.  Silicon Graphics makes no
49 * representations about the suitability of this software for any
50 * purpose.  It is provided "as is" without express or implied warranty.
51 */
52
53/** @file ext/algorithm
54 *  This file is a GNU extension to the Standard C++ Library (possibly
55 *  containing extensions from the HP/SGI STL subset).
56 */
57
58#ifndef _EXT_ALGORITHM
59#define _EXT_ALGORITHM 1
60
61#pragma GCC system_header
62
63#include <algorithm>
64
65namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
66{
67_GLIBCXX_BEGIN_NAMESPACE_VERSION
68
69  using std::ptrdiff_t;
70  using std::min;
71  using std::pair;
72  using std::input_iterator_tag;
73  using std::random_access_iterator_tag;
74  using std::iterator_traits;
75
76  //--------------------------------------------------
77  // copy_n (not part of the C++ standard)
78
79  template<typename _InputIterator, typename _Size, typename _OutputIterator>
80    pair<_InputIterator, _OutputIterator>
81    __copy_n(_InputIterator __first, _Size __count,
82	     _OutputIterator __result,
83	     input_iterator_tag)
84    {
85      for ( ; __count > 0; --__count)
86	{
87	  *__result = *__first;
88	  ++__first;
89	  ++__result;
90	}
91      return pair<_InputIterator, _OutputIterator>(__first, __result);
92    }
93
94  template<typename _RAIterator, typename _Size, typename _OutputIterator>
95    inline pair<_RAIterator, _OutputIterator>
96    __copy_n(_RAIterator __first, _Size __count,
97	     _OutputIterator __result,
98	     random_access_iterator_tag)
99    {
100      _RAIterator __last = __first + __count;
101      return pair<_RAIterator, _OutputIterator>(__last, std::copy(__first,
102								  __last,
103								  __result));
104    }
105
106  /**
107   *  @brief Copies the range [first,first+count) into [result,result+count).
108   *  @param  __first  An input iterator.
109   *  @param  __count  The number of elements to copy.
110   *  @param  __result An output iterator.
111   *  @return   A std::pair composed of first+count and result+count.
112   *
113   *  This is an SGI extension.
114   *  This inline function will boil down to a call to @c memmove whenever
115   *  possible.  Failing that, if random access iterators are passed, then the
116   *  loop count will be known (and therefore a candidate for compiler
117   *  optimizations such as unrolling).
118   *  @ingroup SGIextensions
119  */
120  template<typename _InputIterator, typename _Size, typename _OutputIterator>
121    inline pair<_InputIterator, _OutputIterator>
122    copy_n(_InputIterator __first, _Size __count, _OutputIterator __result)
123    {
124      // concept requirements
125      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
126      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
127	    typename iterator_traits<_InputIterator>::value_type>)
128
129      return __gnu_cxx::__copy_n(__first, __count, __result,
130				 std::__iterator_category(__first));
131    }
132
133  template<typename _InputIterator1, typename _InputIterator2>
134    int
135    __lexicographical_compare_3way(_InputIterator1 __first1,
136				   _InputIterator1 __last1,
137				   _InputIterator2 __first2,
138				   _InputIterator2 __last2)
139    {
140      while (__first1 != __last1 && __first2 != __last2)
141	{
142	  if (*__first1 < *__first2)
143	    return -1;
144	  if (*__first2 < *__first1)
145	    return 1;
146	  ++__first1;
147	  ++__first2;
148	}
149      if (__first2 == __last2)
150	return !(__first1 == __last1);
151      else
152	return -1;
153    }
154
155  inline int
156  __lexicographical_compare_3way(const unsigned char* __first1,
157				 const unsigned char* __last1,
158				 const unsigned char* __first2,
159				 const unsigned char* __last2)
160  {
161    const ptrdiff_t __len1 = __last1 - __first1;
162    const ptrdiff_t __len2 = __last2 - __first2;
163    const int __result = __builtin_memcmp(__first1, __first2,
164					  min(__len1, __len2));
165    return __result != 0 ? __result
166			 : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
167  }
168
169  inline int
170  __lexicographical_compare_3way(const char* __first1, const char* __last1,
171				 const char* __first2, const char* __last2)
172  {
173#if CHAR_MAX == SCHAR_MAX
174    return __lexicographical_compare_3way((const signed char*) __first1,
175					  (const signed char*) __last1,
176					  (const signed char*) __first2,
177					  (const signed char*) __last2);
178#else
179    return __lexicographical_compare_3way((const unsigned char*) __first1,
180					  (const unsigned char*) __last1,
181					  (const unsigned char*) __first2,
182					  (const unsigned char*) __last2);
183#endif
184  }
185
186  /**
187   *  @brief @c memcmp on steroids.
188   *  @param  __first1  An input iterator.
189   *  @param  __last1   An input iterator.
190   *  @param  __first2  An input iterator.
191   *  @param  __last2   An input iterator.
192   *  @return   An int, as with @c memcmp.
193   *
194   *  The return value will be less than zero if the first range is
195   *  <em>lexigraphically less than</em> the second, greater than zero
196   *  if the second range is <em>lexigraphically less than</em> the
197   *  first, and zero otherwise.
198   *  This is an SGI extension.
199   *  @ingroup SGIextensions
200  */
201  template<typename _InputIterator1, typename _InputIterator2>
202    int
203    lexicographical_compare_3way(_InputIterator1 __first1,
204				 _InputIterator1 __last1,
205				 _InputIterator2 __first2,
206				 _InputIterator2 __last2)
207    {
208      // concept requirements
209      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
210      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
211      __glibcxx_function_requires(_LessThanComparableConcept<
212	    typename iterator_traits<_InputIterator1>::value_type>)
213      __glibcxx_function_requires(_LessThanComparableConcept<
214	    typename iterator_traits<_InputIterator2>::value_type>)
215      __glibcxx_requires_valid_range(__first1, __last1);
216      __glibcxx_requires_valid_range(__first2, __last2);
217
218      return __lexicographical_compare_3way(__first1, __last1, __first2,
219					    __last2);
220    }
221
222  // count and count_if: this version, whose return type is void, was present
223  // in the HP STL, and is retained as an extension for backward compatibility.
224  template<typename _InputIterator, typename _Tp, typename _Size>
225    void
226    count(_InputIterator __first, _InputIterator __last,
227	  const _Tp& __value,
228	  _Size& __n)
229    {
230      // concept requirements
231      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
232      __glibcxx_function_requires(_EqualityComparableConcept<
233	    typename iterator_traits<_InputIterator>::value_type >)
234      __glibcxx_function_requires(_EqualityComparableConcept<_Tp>)
235      __glibcxx_requires_valid_range(__first, __last);
236
237      for ( ; __first != __last; ++__first)
238	if (*__first == __value)
239	  ++__n;
240    }
241
242  template<typename _InputIterator, typename _Predicate, typename _Size>
243    void
244    count_if(_InputIterator __first, _InputIterator __last,
245	     _Predicate __pred,
246	     _Size& __n)
247    {
248      // concept requirements
249      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
250      __glibcxx_function_requires(_UnaryPredicateConcept<_Predicate,
251	    typename iterator_traits<_InputIterator>::value_type>)
252      __glibcxx_requires_valid_range(__first, __last);
253
254      for ( ; __first != __last; ++__first)
255	if (__pred(*__first))
256	  ++__n;
257    }
258
259  // random_sample and random_sample_n (extensions, not part of the standard).
260
261  /**
262   *  This is an SGI extension.
263   *  @ingroup SGIextensions
264   *  @doctodo
265  */
266  template<typename _ForwardIterator, typename _OutputIterator,
267	   typename _Distance>
268    _OutputIterator
269    random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
270                    _OutputIterator __out, const _Distance __n)
271    {
272      // concept requirements
273      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
274      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
275		typename iterator_traits<_ForwardIterator>::value_type>)
276      __glibcxx_requires_valid_range(__first, __last);
277
278      _Distance __remaining = std::distance(__first, __last);
279      _Distance __m = min(__n, __remaining);
280
281      while (__m > 0)
282	{
283	  if ((std::rand() % __remaining) < __m)
284	    {
285	      *__out = *__first;
286	      ++__out;
287	      --__m;
288	    }
289	  --__remaining;
290	  ++__first;
291	}
292      return __out;
293    }
294
295  /**
296   *  This is an SGI extension.
297   *  @ingroup SGIextensions
298   *  @doctodo
299  */
300  template<typename _ForwardIterator, typename _OutputIterator,
301	   typename _Distance, typename _RandomNumberGenerator>
302    _OutputIterator
303    random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
304                   _OutputIterator __out, const _Distance __n,
305		   _RandomNumberGenerator& __rand)
306    {
307      // concept requirements
308      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
309      __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
310		typename iterator_traits<_ForwardIterator>::value_type>)
311      __glibcxx_function_requires(_UnaryFunctionConcept<
312		_RandomNumberGenerator, _Distance, _Distance>)
313      __glibcxx_requires_valid_range(__first, __last);
314
315      _Distance __remaining = std::distance(__first, __last);
316      _Distance __m = min(__n, __remaining);
317
318      while (__m > 0)
319	{
320	  if (__rand(__remaining) < __m)
321	    {
322	      *__out = *__first;
323	      ++__out;
324	      --__m;
325	    }
326	  --__remaining;
327	  ++__first;
328	}
329      return __out;
330    }
331
332  template<typename _InputIterator, typename _RandomAccessIterator,
333	   typename _Distance>
334    _RandomAccessIterator
335    __random_sample(_InputIterator __first, _InputIterator __last,
336		    _RandomAccessIterator __out,
337		    const _Distance __n)
338    {
339      _Distance __m = 0;
340      _Distance __t = __n;
341      for ( ; __first != __last && __m < __n; ++__m, ++__first)
342	__out[__m] = *__first;
343
344      while (__first != __last)
345	{
346	  ++__t;
347	  _Distance __M = std::rand() % (__t);
348	  if (__M < __n)
349	    __out[__M] = *__first;
350	  ++__first;
351	}
352      return __out + __m;
353    }
354
355  template<typename _InputIterator, typename _RandomAccessIterator,
356	   typename _RandomNumberGenerator, typename _Distance>
357    _RandomAccessIterator
358    __random_sample(_InputIterator __first, _InputIterator __last,
359		    _RandomAccessIterator __out,
360		    _RandomNumberGenerator& __rand,
361		    const _Distance __n)
362    {
363      // concept requirements
364      __glibcxx_function_requires(_UnaryFunctionConcept<
365	    _RandomNumberGenerator, _Distance, _Distance>)
366
367      _Distance __m = 0;
368      _Distance __t = __n;
369      for ( ; __first != __last && __m < __n; ++__m, ++__first)
370	__out[__m] = *__first;
371
372      while (__first != __last)
373	{
374	  ++__t;
375	  _Distance __M = __rand(__t);
376	  if (__M < __n)
377	    __out[__M] = *__first;
378	  ++__first;
379	}
380      return __out + __m;
381    }
382
383  /**
384   *  This is an SGI extension.
385   *  @ingroup SGIextensions
386   *  @doctodo
387  */
388  template<typename _InputIterator, typename _RandomAccessIterator>
389    inline _RandomAccessIterator
390    random_sample(_InputIterator __first, _InputIterator __last,
391		  _RandomAccessIterator __out_first,
392		  _RandomAccessIterator __out_last)
393    {
394      // concept requirements
395      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
396      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
397	    _RandomAccessIterator>)
398      __glibcxx_requires_valid_range(__first, __last);
399      __glibcxx_requires_valid_range(__out_first, __out_last);
400
401      return __random_sample(__first, __last,
402			     __out_first, __out_last - __out_first);
403    }
404
405  /**
406   *  This is an SGI extension.
407   *  @ingroup SGIextensions
408   *  @doctodo
409  */
410  template<typename _InputIterator, typename _RandomAccessIterator,
411	   typename _RandomNumberGenerator>
412    inline _RandomAccessIterator
413    random_sample(_InputIterator __first, _InputIterator __last,
414		  _RandomAccessIterator __out_first,
415		  _RandomAccessIterator __out_last,
416		  _RandomNumberGenerator& __rand)
417    {
418      // concept requirements
419      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
420      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
421	    _RandomAccessIterator>)
422      __glibcxx_requires_valid_range(__first, __last);
423      __glibcxx_requires_valid_range(__out_first, __out_last);
424
425      return __random_sample(__first, __last,
426			     __out_first, __rand,
427			     __out_last - __out_first);
428    }
429
430#ifdef __GXX_EXPERIMENTAL_CXX0X__
431  using std::is_heap;
432#else
433  /**
434   *  This is an SGI extension.
435   *  @ingroup SGIextensions
436   *  @doctodo
437  */
438  template<typename _RandomAccessIterator>
439    inline bool
440    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
441    {
442      // concept requirements
443      __glibcxx_function_requires(_RandomAccessIteratorConcept<
444				  _RandomAccessIterator>)
445      __glibcxx_function_requires(_LessThanComparableConcept<
446	    typename iterator_traits<_RandomAccessIterator>::value_type>)
447      __glibcxx_requires_valid_range(__first, __last);
448
449      return std::__is_heap(__first, __last - __first);
450    }
451
452  /**
453   *  This is an SGI extension.
454   *  @ingroup SGIextensions
455   *  @doctodo
456  */
457  template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
458    inline bool
459    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
460	    _StrictWeakOrdering __comp)
461    {
462      // concept requirements
463      __glibcxx_function_requires(_RandomAccessIteratorConcept<
464				  _RandomAccessIterator>)
465      __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
466	    typename iterator_traits<_RandomAccessIterator>::value_type,
467	    typename iterator_traits<_RandomAccessIterator>::value_type>)
468      __glibcxx_requires_valid_range(__first, __last);
469
470      return std::__is_heap(__first, __comp, __last - __first);
471    }
472#endif
473
474#ifdef __GXX_EXPERIMENTAL_CXX0X__
475  using std::is_sorted;
476#else
477  // is_sorted, a predicated testing whether a range is sorted in
478  // nondescending order.  This is an extension, not part of the C++
479  // standard.
480
481  /**
482   *  This is an SGI extension.
483   *  @ingroup SGIextensions
484   *  @doctodo
485  */
486  template<typename _ForwardIterator>
487    bool
488    is_sorted(_ForwardIterator __first, _ForwardIterator __last)
489    {
490      // concept requirements
491      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
492      __glibcxx_function_requires(_LessThanComparableConcept<
493	    typename iterator_traits<_ForwardIterator>::value_type>)
494      __glibcxx_requires_valid_range(__first, __last);
495
496      if (__first == __last)
497	return true;
498
499      _ForwardIterator __next = __first;
500      for (++__next; __next != __last; __first = __next, ++__next)
501	if (*__next < *__first)
502	  return false;
503      return true;
504    }
505
506  /**
507   *  This is an SGI extension.
508   *  @ingroup SGIextensions
509   *  @doctodo
510  */
511  template<typename _ForwardIterator, typename _StrictWeakOrdering>
512    bool
513    is_sorted(_ForwardIterator __first, _ForwardIterator __last,
514	      _StrictWeakOrdering __comp)
515    {
516      // concept requirements
517      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
518      __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
519	    typename iterator_traits<_ForwardIterator>::value_type,
520	    typename iterator_traits<_ForwardIterator>::value_type>)
521      __glibcxx_requires_valid_range(__first, __last);
522
523      if (__first == __last)
524	return true;
525
526      _ForwardIterator __next = __first;
527      for (++__next; __next != __last; __first = __next, ++__next)
528	if (__comp(*__next, *__first))
529	  return false;
530      return true;
531    }
532#endif  // __GXX_EXPERIMENTAL_CXX0X__
533
534  /**
535   *  @brief Find the median of three values.
536   *  @param  __a  A value.
537   *  @param  __b  A value.
538   *  @param  __c  A value.
539   *  @return One of @p a, @p b or @p c.
540   *
541   *  If @c {l,m,n} is some convolution of @p {a,b,c} such that @c l<=m<=n
542   *  then the value returned will be @c m.
543   *  This is an SGI extension.
544   *  @ingroup SGIextensions
545  */
546  template<typename _Tp>
547    const _Tp&
548    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c)
549    {
550      // concept requirements
551      __glibcxx_function_requires(_LessThanComparableConcept<_Tp>)
552      if (__a < __b)
553	if (__b < __c)
554	  return __b;
555	else if (__a < __c)
556	  return __c;
557	else
558	  return __a;
559      else if (__a < __c)
560	return __a;
561      else if (__b < __c)
562	return __c;
563      else
564	return __b;
565    }
566
567  /**
568   *  @brief Find the median of three values using a predicate for comparison.
569   *  @param  __a     A value.
570   *  @param  __b     A value.
571   *  @param  __c     A value.
572   *  @param  __comp  A binary predicate.
573   *  @return One of @p a, @p b or @p c.
574   *
575   *  If @c {l,m,n} is some convolution of @p {a,b,c} such that @p comp(l,m)
576   *  and @p comp(m,n) are both true then the value returned will be @c m.
577   *  This is an SGI extension.
578   *  @ingroup SGIextensions
579  */
580  template<typename _Tp, typename _Compare>
581    const _Tp&
582    __median(const _Tp& __a, const _Tp& __b, const _Tp& __c, _Compare __comp)
583    {
584      // concept requirements
585      __glibcxx_function_requires(_BinaryFunctionConcept<_Compare, bool,
586				                         _Tp, _Tp>)
587      if (__comp(__a, __b))
588	if (__comp(__b, __c))
589	  return __b;
590	else if (__comp(__a, __c))
591	  return __c;
592	else
593	  return __a;
594      else if (__comp(__a, __c))
595	return __a;
596      else if (__comp(__b, __c))
597	return __c;
598      else
599	return __b;
600    }
601
602_GLIBCXX_END_NAMESPACE_VERSION
603} // namespace
604
605#endif /* _EXT_ALGORITHM */
606