There are several concepts that group requirements of algorithms that take callable objects ( ISO/IEC 14882:2014 §[func.require]) as arguments.
The indirect callable concepts are used to constrain those algorithms that accept callable objects ( ISO/IEC 14882:2014 §[func.def]) as arguments.
template <class F, class I> concept bool IndirectUnaryInvocable = Readable<I> && CopyConstructible<F> && Invocable<F&, value_type_t<I>&> && Invocable<F&, reference_t<I>> && Invocable<F&, iter_common_reference_t<I>> && CommonReference< result_of_t<F&(value_type_t<I>&)>, result_of_t<F&(reference_t<I>&&)>>; template <class F, class I> concept bool IndirectRegularUnaryInvocable = Readable<I> && CopyConstructible<F> && RegularInvocable<F&, value_type_t<I>&> && RegularInvocable<F&, reference_t<I>> && RegularInvocable<F&, iter_common_reference_t<I>> && CommonReference< result_of_t<F&(value_type_t<I>&)>, result_of_t<F&(reference_t<I>&&)>>; template <class F, class I> concept bool IndirectUnaryPredicate = Readable<I> && CopyConstructible<F> && Predicate<F&, value_type_t<I>&> && Predicate<F&, reference_t<I>> && Predicate<F&, iter_common_reference_t<I>>; template <class F, class I1, class I2 = I1> concept bool IndirectRelation = Readable<I1> && Readable<I2> && CopyConstructible<F> && Relation<F&, value_type_t<I1>&, value_type_t<I2>&> && Relation<F&, value_type_t<I1>&, reference_t<I2>> && Relation<F&, reference_t<I1>, value_type_t<I2>&> && Relation<F&, reference_t<I1>, reference_t<I2>> && Relation<F&, iter_common_reference_t<I1>, iter_common_reference_t<I2>>; template <class F, class I1, class I2 = I1> concept bool IndirectStrictWeakOrder = Readable<I1> && Readable<I2> && CopyConstructible<F> && StrictWeakOrder<F&, value_type_t<I1>&, value_type_t<I2>&> && StrictWeakOrder<F&, value_type_t<I1>&, reference_t<I2>> && StrictWeakOrder<F&, reference_t<I1>, value_type_t<I2>&> && StrictWeakOrder<F&, reference_t<I1>, reference_t<I2>> && StrictWeakOrder<F&, iter_common_reference_t<I1>, iter_common_reference_t<I2>>; template <class> struct indirect_result_of { }; template <class F, class... Is> requires Invocable<F, reference_t<Is>...> struct indirect_result_of<F(Is...)> : result_of<F(reference_t<Is>&&...)> { };
The projected class template is intended for use when specifying the constraints of algorithms that accept callable objects and projections ([defns.projection]). It bundles a Readable type I and a function Proj into a new Readable type whose reference type is the result of applying Proj to the reference_t of I.
template <Readable I, IndirectRegularUnaryInvocable<I> Proj> struct projected { using value_type = remove_cv_t<remove_reference_t<indirect_result_of_t<Proj&(I)>>>; indirect_result_of_t<Proj&(I)> operator*() const; }; template <WeaklyIncrementable I, class Proj> struct difference_type<projected<I, Proj>> { using type = difference_type_t<I>; };
[ Note: projected is only used to ease constraints specification. Its member function need not be defined. — end note ]