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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,		(until
       C++20)
	  InputIt2 first2, InputIt2 last2,

	  OutputIt d_first );
	  template< class InputIt1, class InputIt2, class
	  OutputIt >

	  constexpr  OutputIt  merge(  InputIt1	 first1,		(since
       C++20)
	  InputIt1 last1,
	  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 );				   (1)
	  template< class InputIt1, class InputIt2, class
	  OutputIt, class Compare >

	  OutputIt     merge(	  InputIt1     first1,	   InputIt1	last1,
       (until C++20)
	  InputIt2 first2, InputIt2 last2,

	  OutputIt d_first, Compare comp );
	  template< class InputIt1, class InputIt2, class
	  OutputIt, class Compare >

	  constexpr	   OutputIt	   merge(	InputIt1       first1,
       (since C++20)
	  InputIt1 last1,				       (3)
	  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.

	  A sequence is	said to	be sorted with respect to a comparator comp if
       for any
	  iterator it pointing to the sequence and any non-negative integer  n
       such that it + n
	  is  a	 valid	iterator  pointing  to	an  element  of	 the sequence,
       comp(*(it + n), *it)
	  evaluates to false.

	  1) Elements are compared using operator<.
	  3) Elements are compared using the given binary comparison  function
       comp.
	  2,4)	Same  as  (1,3), but executed according	to policy. These over-
       loads do	not
	  participate in overload resolution unless
	  std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>
	  (until C++20)
	  std::is_execution_policy_v<std::remove_cvref_t<ExecutionPolicy>>
	  (since C++20)	is true.

	  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).

	  The  behavior	 is undefined if the destination range overlaps	either
       of the input
	  ranges (the input ranges may overlap each other).

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.

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

Complexity
	  1,3) At most std::distance(first1,  last1)  +	 std::distance(first2,
       last2) -	1
	  comparisons.
	  2,4) O(std::distance(first1, last1) +	std::distance(first2, last2))

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.

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	output
       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.

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

First version
	  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);
	  }

Second version
	  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);
	  }

Example
       // Run this code

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

	auto print = [](auto const rem,	auto const& 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

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		  2022.07.31			 std::merge(3)

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