Namespaces
Variants
Views
Actions

Difference between revisions of "cpp/algorithm/merge"

From cppreference.com
< cpp‎ | algorithm
(fixed formatting)
m (s/last,first/first,last)
Line 55: Line 55:
 
===Complexity===
 
===Complexity===
 
@1,3@ At most {{c|1=std::distance(first1, last1) + std::distance(first2, last2) - 1}} comparisons.
 
@1,3@ At most {{c|1=std::distance(first1, last1) + std::distance(first2, last2) - 1}} comparisons.
@2,4@ {{c|O(std::distance(last1, first1) + std::distance(last2, first2))}}
+
@2,4@ {{c|O(std::distance(first1, last1) + std::distance(first2, last2))}}
  
 
===Exceptions===
 
===Exceptions===

Revision as of 10:17, 24 June 2017

 
 
Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy, ranges::sort, ...
Execution policies (C++17)
Non-modifying sequence operations
Batch operations
(C++17)
Search operations
(C++11)                (C++11)(C++11)

Modifying sequence operations
Copy operations
(C++11)
(C++11)
Swap operations
Transformation operations
Generation operations
Removing operations
Order-changing operations
(until C++17)(C++11)
(C++20)(C++20)
Sampling operations
(C++17)

Sorting and related operations
Partitioning operations
Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
merge
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations
C library
Numeric operations
Operations on uninitialized memory
 
Defined in header <algorithm>
template< class InputIt1, class InputIt2, class OutputIt >

OutputIt merge( InputIt1 first1, InputIt1 last1,
                InputIt2 first2, InputIt2 last2,

                OutputIt d_first );
(1)
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class ForwardIt3 >

ForwardIt3 merge( ExecutionPolicy&& policy,
                  ForwardIt1 first1, ForwardIt1 last1,
                  ForwardIt2 first2, ForwardIt2 last2,

                  ForwardIt3 d_first );
(2) (since C++17)
template< class InputIt1, class InputIt2, class OutputIt, class Compare>

OutputIt merge( InputIt1 first1, InputIt1 last1,
                InputIt2 first2, InputIt2 last2,

                OutputIt d_first, Compare comp );
(3)
template< class ExecutionPolicy, class ForwardIt1, class ForwardIt2, class ForwardIt3, class Compare>

ForwardIt3 merge( ExecutionPolicy&& policy,
                  ForwardIt1 first1, ForwardIt1 last1,
                  ForwardIt2 first2, ForwardIt2 last2,

                  ForwardIt3 d_first, Compare comp );
(4) (since C++17)

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

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. This overload participates in overload resolution only if std::is_execution_policy_v<std::decay_t<ExecutionPolicy>> is true

For equivalent elements 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).

Contents

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.
comp - comparison function object (i.e. an object that satisfies 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);

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 regardless 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

Template:par req concept Template:par req concept Template:par req concept

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::terminate 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 Template:concept). If any equivalent values appeared n times in the first range and m times in the second, 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 less.

Possible implementation

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

#include <iostream>
#include <iterator>
#include <algorithm>
#include <vector>
#include <random>
#include <functional>
 
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)));
 
    // sort
    std::sort(v1.begin(), v1.end());
    std::sort(v2.begin(), v2.end());
 
    // output v1
    std::cout << "v1 : ";
    std::copy(v1.begin(), v1.end(), std::ostream_iterator<int>(std::cout, " "));
    std::cout << '\n';
 
    // output v2
    std::cout << "v2 : ";
    std::copy(v2.begin(), v2.end(), std::ostream_iterator<int>(std::cout, " "));
    std::cout << '\n';
 
    // merge
    std::vector<int> dst;
    std::merge(v1.begin(), v1.end(), v2.begin(), v2.end(), std::back_inserter(dst));
 
    // output
    std::cout << "dst: ";
    std::copy(dst.begin(), dst.end(), std::ostream_iterator<int>(std::cout, " "));
    std::cout << '\n';
}

Possible output:

v1 : 0 1 3 4 4 5 5 8 8 9 
v2 : 0 2 2 3 6 6 8 8 8 9 
dst: 0 0 1 2 2 3 3 4 4 5 5 6 6 8 8 8 8 8 9 9

See also

merges two ordered ranges in-place
(function template) [edit]
computes the union of two sets
(function template) [edit]
sorts a range into ascending order
(function template) [edit]
sorts a range of elements while preserving order between equal elements
(function template) [edit]