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std::ranges::binary_search

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

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


 
Constrained algorithms
All names in this menu belong to namespace std::ranges
Non-modifying sequence operations
Fold operations (Helper templates)
Modifying sequence operations
Partitioning operations
Sorting operations
Binary search operations (on sorted ranges)
       
       
Set operations (on sorted ranges)
Heap operations
Minimum/maximum operations
       
       
Permutation operations
Specialized <memory> algorithms
Return types
 
Defined in header <algorithm>
Call signature
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 bool binary_search( I first, S last, const T& value,
                              Comp comp = {}, Proj proj = {} );
(1) (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 bool binary_search( I first, S last, const T& value,
                              Comp comp = {}, Proj proj = {} );
(since C++26)
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 bool binary_search( R&& r, const T& value,
                              Comp comp = {}, Proj proj = {} );
(2) (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 bool binary_search( R&& r, const T& value,
                              Comp comp = {}, Proj proj = {} );
(since C++26)

Checks if an element equivalent to value exists in the partitioned source range [firstlast) or r. An element is considered equivalent to value if its projected value neither orders before nor orders after value with the comparator comp.

If the elements e of the source range are not partitioned with respect the following expressions at the same time, the behavior is undefined:

  • bool(std::invoke(comp, std::invoke(proj, e), value))
  • !bool(std::invoke(comp, value, std::invoke(proj, e)))

The function-like entities described on this page are algorithm function objects (informally known as niebloids), that is:

Parameters

first, last - the iterator-sentinel pair defining the source range
r - the source range
value - the value to be compared with the (projected) elements
comp - the comparator to be applied to the (projected) elements
proj - the projection to be applied to the elements

Return value

true if an element equivalent to value exists, false otherwise.

Complexity

Given N as ranges::distance(first, last) or ranges::distance(r):

1,2) At most log2(N)+𝓞(1) applications of comp and proj.

Notes

ranges::binary_search doesn't return an iterator to the found element when an element whose projection equals value is found. To obtain an iterator to that element (if exists), ranges::lower_bound should be used instead.

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

Possible implementation

struct binary_search_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 bool operator()(I first, S last, const T& value,
                              Comp comp = {}, Proj proj = {}) const
    {
        auto x = ranges::lower_bound(first, last, value, comp, proj);
        return (!(x == last) && !(std::invoke(comp, value, std::invoke(proj, *x))));
    }
    
    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 bool operator()(R&& r, const T& value,
                              Comp comp = {}, Proj proj = {}) const
    {
        return (*this)(ranges::begin(r),
                       ranges::next(ranges::begin(r), ranges::end(r)),
                       value, std::move(comp), std::move(proj));
    }
};

inline constexpr binary_search_fn binary_search;

Example

#include <algorithm>
#include <cassert>
#include <complex>
#include <iostream>
#include <ranges>
#include <vector>

int main()
{
    constexpr static auto haystack = {1, 3, 4, 5, 9};
    static_assert(std::ranges::is_sorted(haystack));
    
    for (const int needle : std::views::iota(1)
                          | std::views::take(3))
    {
        std::cout << "Searching for " << needle << ": ";
        std::ranges::binary_search(haystack, needle)
            ? std::cout << "found " << needle << '\n'
            : std::cout << "no dice!\n";
    }
    
    using CD = std::complex<double>;
    std::vector<CD> nums{{1, 1}, {2, 3}, {4, 2}, {4, 3}};
    auto cmpz = [](CD x, CD y){ return abs(x) < abs(y); };
    #ifdef __cpp_lib_algorithm_default_value_type
        assert(std::ranges::binary_search(nums, {4, 2}, cmpz));
    #else
        assert(std::ranges::binary_search(nums, CD{4, 2}, cmpz));
    #endif
}

Output:

Searching for 1: found 1
Searching for 2: no dice!
Searching for 3: found 3

See also

determines if an element exists in a range using binary search
(function template) [edit]
finds the range of elements matching the given value using binary search
(algorithm function object)[edit]
finds the first element not less than the given value using binary search
(algorithm function object)[edit]
finds the first element greater than the given value using binary search
(algorithm function object)[edit]
checks if the range contains the given element or subrange
(algorithm function object)[edit]