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std::merge(3)		      C++ Standard Libary		 std::merge(3)

NAME
       std::merge - std::merge

Synopsis
	  Defined in header <algorithm>
	  template< class InputIt1, class InputIt2, class OutputIt
	  >

	  OutputIt merge( InputIt1 first1, InputIt1 last1,	   (1) (const-
       expr since C++20)
			  InputIt2 first2, InputIt2 last2,

			  OutputIt d_first );
	  template< class ExecutionPolicy,

		    class ForwardIt1, class ForwardIt2,	class
	  ForwardIt3 >
	  ForwardIt3  merge( ExecutionPolicy&& policy,		    (2)	(since
       C++17)
			    ForwardIt1 first1, ForwardIt1 last1,
			    ForwardIt2 first2, ForwardIt2 last2,

			    ForwardIt3 d_first );
	  template< class InputIt1, class InputIt2,

		    class OutputIt, class Compare >
	  OutputIt merge( InputIt1 first1, InputIt1 last1,	   (3) (const-
       expr since C++20)
			  InputIt2 first2, InputIt2 last2,

			  OutputIt d_first, Compare comp );
	  template< class ExecutionPolicy,

		    class ForwardIt1, class ForwardIt2,
		    class ForwardIt3, class Compare >
	  ForwardIt3 merge( ExecutionPolicy&& policy,		   (4)	(since
       C++17)
			    ForwardIt1 first1, ForwardIt1 last1,
			    ForwardIt2 first2, ForwardIt2 last2,

			    ForwardIt3 d_first,	Compare	comp );

	  Merges  two  sorted  ranges [first1, last1) and [first2, last2) into
       one sorted range
	  beginning at d_first.

	  1) If	[first1, last1)	or [first2, last2) is not sorted with  respect
       to
	  operator<
	  (until C++20)
	  std::less{}
	  (since C++20), the behavior is undefined.
	  3)  If [first1, last1) or [first2, last2) is not sorted with respect
       to comp,	the
	  behavior is undefined.
	  2,4) Same as (1,3), but executed according to	policy.
	  These	overloads participate in overload resolution only if

	  std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>  is	 true.
       (until
										    C++20)
	  std::is_execution_policy_v<std::remove_cvref_t<ExecutionPolicy>>  is
       true. (since
										    C++20)

	  This merge function is stable, which means that for equivalent  ele-
       ments in	the
	  original  two	 ranges, the elements from the first range (preserving
       their original
	  order) precede the elements from the second range (preserving	 their
       original	order).

	  If  the  output  range  overlaps  with  [first1,  last1) or [first2,
       last2), the behavior
	  is undefined.

Parameters
	  first1, last1	- the first range of elements to merge
	  first2, last2	- the second range of elements to merge
	  d_first	- the beginning	of the destination range
	  policy	- the execution	policy to use.	See  execution	policy
       for details.
			  comparison function object (i.e. an object that sat-
       isfies the
			  requirements	of  Compare) which returns true	if the
       first argument is
			  less than (i.e. is ordered before) the second.

			  The signature	of the comparison function  should  be
       equivalent to the
			  following:

			  bool cmp(const Type1&	a, const Type2&	b);
	  comp		-
			  While	 the  signature	 does not need to have const&,
       the function must
			  not modify the objects passed	to it and must be able
       to accept all
			  values of type (possibly const) Type1	and Type2  re-
       gardless	of value
			  category (thus, Type1& is not	allowed
			  , nor	is Type1 unless	for Type1 a move is equivalent
       to a copy
			  (since C++11)).
			  The  types Type1 and Type2 must be such that objects
       of types
			  InputIt1 and InputIt2	can be dereferenced  and  then
       implicitly
			  converted to both Type1 and Type2.

Type requirements
	  -
	  InputIt1,  InputIt2  must meet the requirements of LegacyInputItera-
       tor.
	  -
	  ForwardIt1, ForwardIt2, ForwardIt3 must meet the requirements	of
	  LegacyForwardIterator.
	  -
	  OutputIt must	meet the requirements of LegacyOutputIterator.
	  -
	  Compare must meet the	requirements of	Compare.

Return value
	  An output iterator to	element	past the last element copied.

Complexity
	  Given	\(\scriptsize N_1\)N
	  1 as std::distance(first1, last1) and	\(\scriptsize N_2\)N
	  2 as std::distance(first2, last2):

	  1) At	most \(\scriptsize N_1+N_2-1\)N
	  1+N
	  2-1 comparisons using
	  operator<
	  (until C++20)
	  std::less{}
	  (since C++20).
	  2) \(\scriptsize O(N_1+N_2)\)O(N
	  1+N
	  2) comparisons using
	  operator<
	  (until C++20)
	  std::less{}
	  (since C++20).
	  3) At	most \(\scriptsize N_1+N_2-1\)N
	  1+N
	  2-1 applications of the comparison function comp.
	  4) \(\scriptsize O(N_1+N_2)\)O(N
	  1+N
	  2) applications of the comparison function comp.

Exceptions
	  The overloads	with a template	parameter named	ExecutionPolicy	report
       errors as
	  follows:

	    * If execution of a	function invoked  as  part  of	the  algorithm
       throws an exception
	      and ExecutionPolicy is one of the	standard policies, std::termi-
       nate is called.
	      For  any	other ExecutionPolicy, the behavior is implementation-
       defined.
	    * If the algorithm fails to	 allocate  memory,  std::bad_alloc  is
       thrown.

Possible implementation
	  See also the implementations in libstdc++ and	libc++.

				 merge (1)
	  template<class InputIt1, class InputIt2, class OutputIt>
	  OutputIt merge(InputIt1 first1, InputIt1 last1,
			 InputIt2 first2, InputIt2 last2,
			 OutputIt d_first)
	  {
	      for (; first1 != last1; ++d_first)
	      {
		  if (first2 ==	last2)
		      return std::copy(first1, last1, d_first);

		  if (*first2 <	*first1)
		  {
		      *d_first = *first2;
		      ++first2;
		  }
		  else
		  {
		      *d_first = *first1;
		      ++first1;
		  }
	      }
	      return std::copy(first2, last2, d_first);
	  }
				 merge (3)
	  template<class InputIt1, class InputIt2,
		   class OutputIt, class Compare>
	  OutputIt merge(InputIt1 first1, InputIt1 last1,
			 InputIt2 first2, InputIt2 last2,
			 OutputIt d_first, Compare comp)
	  {
	      for (; first1 != last1; ++d_first)
	      {
		  if (first2 ==	last2)
		      return std::copy(first1, last1, d_first);

		  if (comp(*first2, *first1))
		  {
		      *d_first = *first2;
		      ++first2;
		  }
		  else
		  {
		      *d_first = *first1;
		      ++first1;
		  }
	      }
	      return std::copy(first2, last2, d_first);
	  }

Notes
	  This	algorithm performs a similar task as std::set_union does. Both
       consume two
	  sorted input ranges and produce a sorted output with	elements  from
       both inputs. The
	  difference between these two algorithms is with handling values from
       both input
	  ranges  which	 compare equivalent (see notes on LessThanComparable).
       If any equivalent
	  values appeared n times in the first range and m times in  the  sec-
       ond, std::merge
	  would	output all n + m occurrences whereas std::set_union would out-
       put std::max(n,
	  m)  ones  only.  So std::merge outputs exactly std::distance(first1,
       last1) +
	  std::distance(first2,	last2) values and std::set_union  may  produce
       fewer.

Example
       // Run this code

	#include <algorithm>
	#include <functional>
	#include <iostream>
	#include <iterator>
	#include <random>
	#include <vector>

	auto print = [](const auto rem,	const auto& v)
	{
	    std::cout << rem;
	    std::copy(v.begin(),	  v.end(),	   std::ostream_itera-
       tor<int>(std::cout, " "));
	    std::cout << '\n';
	};

	int main()
	{
	    // fill the	vectors	with random numbers
	    std::random_device rd;
	    std::mt19937 mt(rd());
	    std::uniform_int_distribution<> dis(0, 9);

	    std::vector<int> v1(10), v2(10);
	    std::generate(v1.begin(), v1.end(),	std::bind(dis, std::ref(mt)));
	    std::generate(v2.begin(), v2.end(),	std::bind(dis, std::ref(mt)));

	    print("Originally:\nv1: ", v1);
	    print("v2: ", v2);

	    std::sort(v1.begin(), v1.end());
	    std::sort(v2.begin(), v2.end());

	    print("After sorting:\nv1: ", v1);
	    print("v2: ", v2);

	    // merge
	    std::vector<int> dst;
	    std::merge(v1.begin(),     v1.end(),     v2.begin(),     v2.end(),
       std::back_inserter(dst));

	    print("After merging:\ndst:	", dst);
	}

Possible output:
	Originally:
	v1: 2 6	5 7 4 2	2 6 7 0
	v2: 8 3	2 5 0 1	9 6 5 0
	After sorting:
	v1: 0 2	2 2 4 5	6 6 7 7
	v2: 0 0	1 2 3 5	5 6 8 9
	After merging:
	dst: 0 0 0 1 2 2 2 2 3 4 5 5 5 6 6 6 7 7 8 9

	  Defect reports

	  The following	behavior-changing defect reports were applied retroac-
       tively to
	  previously published C++ standards.

	    DR	   Applied  to	      Behavior as published	   Correct be-
       havior
	  LWG 780 C++98	     the merge operation was not defined defined

See also
	  inplace_merge	merges two ordered ranges in-place
			(function template)
	  is_sorted	checks whether a range is sorted into ascending	order
	  (C++11)	(function template)
	  set_union	computes the union of two sets
			(function template)
	  sort		sorts a	range into ascending order
			(function template)
			sorts a	range of elements while	preserving  order  be-
       tween equal
	  stable_sort	elements
			(function template)
	  ranges::merge	merges two sorted ranges
	  (C++20)	(niebloid)

http://cppreference.com		  2024.06.10			 std::merge(3)

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