std::ranges::upper_bound

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< cpp‎ | algorithm‎ | ranges
 
 
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)
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations
C library
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Operations on uninitialized memory
 
Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
Modifying sequence operations
Partitioning operations
Sorting operations
Binary search operations (on sorted ranges)
       
upper_bound
       
Set operations (on sorted ranges)
Heap operations
Minimum/maximum operations
       
       
Permutation operations
Fold operations
Numeric operations
(C++23)            
Operations on uninitialized storage
Return types
 
Defined in header <algorithm>
Call signature
(1)
template< std::forward_iterator I, std::sentinel_for<I> S,

          class T, class Proj = std::identity,
          std::indirect_strict_weak_order
              <const T*, std::projected<I, Proj>> Comp = ranges::less >
constexpr I upper_bound( I first, S last, const T& value,

                         Comp comp = {}, Proj proj = {} );
(since C++20)
(until C++26)
template< std::forward_iterator I, std::sentinel_for<I> S,

          class Proj = std::identity,
          class T = std::projected_value_t<I, Proj>,
          std::indirect_strict_weak_order
              <const T*, std::projected<I, Proj>> Comp = ranges::less >
constexpr I upper_bound( I first, S last, const T& value,

                         Comp comp = {}, Proj proj = {} );
(since C++26)
(2)
template< ranges::forward_range R,

          class T, class Proj = std::identity,
          std::indirect_strict_weak_order
              <const T*, std::projected<ranges::iterator_t<R>,
                                        Proj>> Comp = ranges::less >
constexpr ranges::borrowed_iterator_t<R>

    upper_bound( R&& r, const T& value, Comp comp = {}, Proj proj = {} );
(since C++20)
(until C++26)
template< ranges::forward_range R,

          class Proj = std::identity,
          class T = std::projected_value_t<ranges::iterator_t<R>, Proj>,
          std::indirect_strict_weak_order
              <const T*, std::projected<ranges::iterator_t<R>,
                                        Proj>> Comp = ranges::less >
constexpr ranges::borrowed_iterator_t<R>

    upper_bound( R&& r, const T& value, Comp comp = {}, Proj proj = {} );
(since C++26)
1) Returns an iterator pointing to the first element in the range [firstlast) that is greater than value, or last if no such element is found. The range [firstlast) must be partitioned with respect to the expression or !comp(value, element), i.e., all elements for which the expression is true must precede all elements for which the expression is false. A fully-sorted range meets this criterion.
2) Same as (1), but uses r as the source range, as if using ranges::begin(r) as first and ranges::end(r) as last.

The function-like entities described on this page are niebloids, that is:

In practice, they may be implemented as function objects, or with special compiler extensions.

Parameters

first, last - iterator-sentinel defining the partially-ordered range to examine
r - the partially-ordered range to examine
value - value to compare the elements to
pred - predicate to apply to the projected elements
proj - projection to apply to the elements

Return value

Iterator pointing to the first element that is greater than value, or last if no such element is found.

Complexity

The number of comparisons and applications of the projection performed are logarithmic in the distance between first and last (at most log
2
(last - first) + O(1)
comparisons and applications of the projection). However, for an iterator that does not model random_access_iterator, the number of iterator increments is linear.

Possible implementation

struct upper_bound_fn
{
    template<std::forward_iterator I, std::sentinel_for<I> S,
             class Proj = std::identity, class T = std::projected_value_t<I, Proj>,
             std::indirect_strict_weak_order
                 <const T*, std::projected<I, Proj>> Comp = ranges::less>
    constexpr I operator()(I first, S last, const T& value,
                           Comp comp = {}, Proj proj = {}) const
    {
        I it;
        std::iter_difference_t<I> count, step;
        count = ranges::distance(first, last);
 
        while (count > 0)
        {
            it = first; 
            step = count / 2;
            ranges::advance(it, step, last);
            if (!comp(value, std::invoke(proj, *it)))
            {
                first = ++it;
                count -= step + 1;
            }
            else
                count = step;
        }
        return first;
    }
 
    template<ranges::forward_range R, class Proj = std::identity,
             class T = std::projected_value_t<ranges::iterator_t<R>, Proj>,
             std::indirect_strict_weak_order
                 <const T*, std::projected<ranges::iterator_t<R>,
                                           Proj>> Comp = ranges::less>
    constexpr ranges::borrowed_iterator_t<R>
        operator()(R&& r, const T& value, Comp comp = {}, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r), ranges::end(r), value,
                       std::ref(comp), std::ref(proj));
    }
};
 
inline constexpr upper_bound_fn upper_bound;

Notes

Feature-test macro Value Std Feature
__cpp_lib_algorithm_default_value_type 202403 (C++26) List-initialization for algorithms (1,2)

Example

#include <algorithm>
#include <cassert>
#include <complex>
#include <iostream>
#include <iterator>
#include <vector>
 
int main()
{
    namespace ranges = std::ranges;
 
    std::vector<int> data{1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6};
 
    {
        auto lower = ranges::lower_bound(data.begin(), data.end(), 4);
        auto upper = ranges::upper_bound(data.begin(), data.end(), 4);
 
        ranges::copy(lower, upper, std::ostream_iterator<int>(std::cout, " "));
        std::cout << '\n';
    }
    {
        auto lower = ranges::lower_bound(data, 3);
        auto upper = ranges::upper_bound(data, 3);
 
        ranges::copy(lower, upper, std::ostream_iterator<int>(std::cout, " "));
        std::cout << '\n';
    }
 
    using CD = std::complex<double>;
    std::vector<CD> nums{{1, 0}, {2, 2}, {2, 1}, {3, 0}, {3, 1}};
    auto cmpz = [](CD x, CD y) { return x.real() < y.real(); };
    #ifdef __cpp_lib_algorithm_default_value_type
        auto it = ranges::upper_bound(nums, {2, 0}, cmpz);
    #else
        auto it = ranges::upper_bound(nums, CD{2, 0}, cmpz);
    #endif
    assert((*it == CD{3, 0}));
}

Output:

4 4 4 
3 3 3 3

See also

returns range of elements matching a specific key
(niebloid)
returns an iterator to the first element not less than the given value
(niebloid)
divides a range of elements into two groups
(niebloid)
returns an iterator to the first element greater than a certain value
(function template)