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      std::ranges::lower_bound

      From cppreference.com
      <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)
      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
      Numeric operations
      Operations on uninitialized memory
       
      Constrained algorithms
      All names in this menu belong to namespacestd::ranges
      Non-modifying sequence operations
      Modifying sequence operations
      Partitioning operations
      Sorting operations
      Binary search operations (on sorted ranges)
      lower_bound
             
             
      Set operations (on sorted ranges)
      Heap operations
      Minimum/maximum operations
      Permutation operations
      Fold operations
      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 lower_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 lower_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>
      constexprranges::borrowed_iterator_t<R>

          lower_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>
      constexprranges::borrowed_iterator_t<R>

          lower_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 isnot less than (i.e. greater or equal to)value, orlast if no such element is found.The range[firstlast) must be partitioned with respect to the expressionstd::invoke(comp,std::invoke(proj, element), value), i.e., all elements for which the expression istrue must precede all elements for which the expression isfalse. A fully-sorted range meets this criterion.
      2) Same as(1), but usesr as the source range, as if usingranges::begin(r) asfirst andranges::end(r) aslast.

      The function-like entities described on this page arealgorithm function objects (informally known asniebloids), that is:

      Contents

      [edit]Parameters

      first, last - the iterator-sentinel pair defining the partially-orderedrange of elements to examine
      r - the partially-ordered range to examine
      value - value to compare the projected elements to
      comp - comparison predicate to apply to the projected elements
      proj - projection to apply to the elements

      [edit]Return value

      Iterator pointing to the first element that isnot less thanvalue, orlast if no such element is found.

      [edit]Complexity

      The number of comparisons and applications of the projection performed are logarithmic in the distance betweenfirst andlast (at mostlog2(last - first) + O(1) comparisons and applications of the projection). However, for an iterator that does not modelrandom_access_iterator, the number of iterator increments is linear.

      [edit]Notes

      On a range that's fully sorted (or more generally, partially ordered with respect tovalue) after projection,std::ranges::lower_bound implements the binary search algorithm. Therefore,std::ranges::binary_search can be implemented in terms of it.

      Feature-test macroValueStdFeature
      __cpp_lib_algorithm_default_value_type202403(C++26)List-initialization for algorithms(1,2)

      [edit]Possible implementation

      struct lower_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= std::ranges::distance(first, last); while(count>0){            it= first;            step= count/2;ranges::advance(it, step, last);if(comp(std::invoke(proj,*it), value)){                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>constexprranges::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));}}; inlineconstexpr lower_bound_fn lower_bound;

      [edit]Example

      Run this code
      #include <algorithm>#include <cassert>#include <complex>#include <iostream>#include <iterator>#include <vector> namespace ranges= std::ranges; 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 binary_find(I first, S last,const T& value, Comp comp={}, Proj proj={}){    first= ranges::lower_bound(first, last, value, comp, proj);return first!= last&&!comp(value, proj(*first))? first: last;} int main(){std::vector data{1,2,2,3,3,3,4,4,4,4,5,5,5,5,5};//                                 ^^^^^^^^^^auto lower= ranges::lower_bound(data,4);auto upper=ranges::upper_bound(data,4); std::cout<<"found a range ["<<ranges::distance(data.cbegin(), lower)<<", "<<ranges::distance(data.cbegin(), upper)<<") = { ";ranges::copy(lower, upper,std::ostream_iterator<int>(std::cout," "));std::cout<<"}\n"; // classic binary search, returning a value only if it is present     data={1,2,4,8,16};//               ^auto it= binary_find(data.cbegin(), data.cend(),8);// '5' would return end() if(it!= data.cend())std::cout<<*it<<" found at index "<<ranges::distance(data.cbegin(), it); using CD=std::complex<double>;std::vector<CD> nums{{1,0},{2,2},{2,1},{3,0}};auto cmpz=[](CD x, CD y){return x.real()< y.real();};#ifdef __cpp_lib_algorithm_default_value_typeauto it2= ranges::lower_bound(nums,{2,0}, cmpz);#elseauto it2= ranges::lower_bound(nums, CD{2,0}, cmpz);#endifassert((*it2== CD{2,2}));}

      Output:

      found a range [6, 10) = { 4 4 4 4 }8 found at index 3

      [edit]See also

      returns range of elements matching a specific key
      (algorithm function object)[edit]
      divides a range of elements into two groups
      (algorithm function object)[edit]
      locates the partition point of a partitioned range
      (algorithm function object)[edit]
      returns an iterator to the first elementgreater than a certain value
      (algorithm function object)[edit]
      returns an iterator to the first elementnot less than the given value
      (function template)[edit]
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/algorithm/ranges/lower_bound&oldid=182993"

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