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[binary.search]

26 Algorithms library [algorithms]

26.8.4 Binary search [alg.binary.search]

26.8.4.5 binary_search [binary.search]

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`template<class ForwardIterator, class T = iterator_traits::value_type> constexpr bool binary_search(ForwardIterator first, ForwardIterator last, const T& value);

template<class ForwardIterator, class T = iterator_traits::value_type, class Compare> constexpr bool binary_search(ForwardIterator first, ForwardIterator last, const T& value, Compare comp);

template<forward_iterator I, sentinel_for S, class Proj = identity, class T = projected_value_t<I, Proj>, indirect_strict_weak_order<const T*, projected<I, Proj>> Comp = ranges::less> constexpr bool ranges::binary_search(I first, S last, const T& value, Comp comp = {}, Proj proj = {}); template<forward_range R, class Proj = identity, class T = projected_value_t<iterator_t, Proj>, indirect_strict_weak_order<const T*, projected<iterator_t, Proj>> Comp = ranges::less> constexpr bool ranges::binary_search(R&& r, const T& value, Comp comp = {}, Proj proj = {}); `

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Let comp be less{} andproj be identity{} for overloads with no parameters by those names.

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Preconditions: The elements e of [first, last) are partitioned with respect to the expressionsbool(invoke(comp, invoke(proj, e), value)) and!bool(invoke(comp, value, invoke(proj, e))).

Also, for all elements e of [first, last),bool(comp(e, value)) implies !bool(comp(value, e)) for the overloads in namespace std.

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Returns: true if and only if for some iterator i in the range [first, last),!bool(invoke(comp, invoke(proj, *i), value)) &&!bool(invoke(comp, value, invoke(proj, *i))) is true.

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Complexity: At most log2(last - first)+O(1) comparisons and projections.