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- /*!
- @file
- Forward declares `boost::hana::set`.
- @copyright Louis Dionne 2013-2017
- Distributed under the Boost Software License, Version 1.0.
- (See accompanying file LICENSE.md or copy at http://boost.org/LICENSE_1_0.txt)
- */
- #ifndef BOOST_HANA_FWD_SET_HPP
- #define BOOST_HANA_FWD_SET_HPP
- #include <boost/hana/config.hpp>
- #include <boost/hana/fwd/core/to.hpp>
- #include <boost/hana/fwd/core/make.hpp>
- #include <boost/hana/fwd/erase_key.hpp>
- BOOST_HANA_NAMESPACE_BEGIN
- //! @ingroup group-datatypes
- //! Basic unordered container requiring unique, `Comparable` and
- //! `Hashable` keys.
- //!
- //! A set is an unordered container that can hold heterogeneous keys.
- //! A set requires (and ensures) that no duplicates are present when
- //! inserting new keys.
- //!
- //! @note
- //! The actual representation of a `hana::set` is implementation-defined.
- //! In particular, one should not take for granted the order of the
- //! template parameters and the presence of any additional constructors
- //! or assignment operators than what is documented. The canonical way of
- //! creating a `hana::set` is through `hana::make_set`. More details
- //! [in the tutorial](@ref tutorial-containers-types).
- //!
- //!
- //! Modeled concepts
- //! ----------------
- //! 1. `Comparable`\n
- //! Two sets are equal iff they contain the same elements, regardless of
- //! the order.
- //! @include example/set/comparable.cpp
- //!
- //! 2. Foldable\n
- //! Folding a set is equivalent to folding the sequence of its values.
- //! However, note that the values are not required to be in any specific
- //! order, so using the folds provided here with an operation that is not
- //! both commutative and associative will yield non-deterministic behavior.
- //! @include example/set/foldable.cpp
- //!
- //! 3. Searchable\n
- //! The elements in a set act as both its keys and its values. Since the
- //! elements of a set are unique, searching for an element will return
- //! either the only element which is equal to the searched value, or
- //! `nothing`. Also note that `operator[]` can be used instead of the
- //! `at_key` function.
- //! @include example/set/searchable.cpp
- //!
- //!
- //! Conversion from any `Foldable`
- //! ------------------------------
- //! Any `Foldable` structure can be converted into a `hana::set` with
- //! `to<set_tag>`. The elements of the structure must all be compile-time
- //! `Comparable`. If the structure contains duplicate elements, only
- //! the first occurence will appear in the resulting set. More
- //! specifically, conversion from a `Foldable` is equivalent to
- //! @code
- //! to<set_tag>(xs) == fold_left(xs, make_set(), insert)
- //! @endcode
- //!
- //! __Example__
- //! @include example/set/to.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- template <typename implementation_defined>
- struct set {
- //! Default-construct a set. This constructor only exists when all the
- //! elements of the set are default-constructible.
- constexpr set() = default;
- //! Copy-construct a set from another set. This constructor only
- //! exists when all the elements of the set are copy-constructible.
- constexpr set(set const& other) = default;
- //! Move-construct a set from another set. This constructor only
- //! exists when all the elements of the set are move-constructible.
- constexpr set(set&& other) = default;
- //! Equivalent to `hana::equal`
- template <typename X, typename Y>
- friend constexpr auto operator==(X&& x, Y&& y);
- //! Equivalent to `hana::not_equal`
- template <typename X, typename Y>
- friend constexpr auto operator!=(X&& x, Y&& y);
- //! Equivalent to `hana::at_key`
- template <typename Key>
- constexpr decltype(auto) operator[](Key&& key);
- };
- #else
- template <typename ...Xs>
- struct set;
- #endif
- //! Tag representing the `hana::set` container.
- //! @relates hana::set
- struct set_tag { };
- //! Function object for creating a `hana::set`.
- //! @relates hana::set
- //!
- //! Given zero or more values `xs...`, `make<set_tag>` returns a `set`
- //! containing those values. The values must all be compile-time
- //! `Comparable`, and no duplicate values may be provided. To create
- //! a `set` from a sequence with possible duplicates, use `to<set_tag>`
- //! instead.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/make.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- template <>
- constexpr auto make<set_tag> = [](auto&& ...xs) {
- return set<implementation_defined>{forwarded(xs)...};
- };
- #endif
- //! Equivalent to `make<set_tag>`; provided for convenience.
- //! @relates hana::set
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/make.cpp
- constexpr auto make_set = make<set_tag>;
- //! Insert an element in a `hana::set`.
- //! @relates hana::set
- //!
- //! If the set already contains an element that compares equal, then
- //! nothing is done and the set is returned as is.
- //!
- //!
- //! @param set
- //! The set in which to insert a value.
- //!
- //! @param element
- //! The value to insert. It must be compile-time `Comparable`.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/insert.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto insert = [](auto&& set, auto&& element) {
- return tag-dispatched;
- };
- #endif
- //! Remove an element from a `hana::set`.
- //! @relates hana::set
- //!
- //! Returns a new set containing all the elements of the original,
- //! except the one comparing `equal` to the given element. If the set
- //! does not contain such an element, a new set equal to the original
- //! set is returned.
- //!
- //!
- //! @param set
- //! The set in which to remove a value.
- //!
- //! @param element
- //! The value to remove. It must be compile-time `Comparable`.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/erase_key.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto erase_key = [](auto&& set, auto&& element) {
- return tag-dispatched;
- };
- #endif
- //! Returns the union of two sets.
- //! @relates hana::set
- //!
- //! Given two sets `xs` and `ys`, `union_(xs, ys)` is a new set containing
- //! all the elements of `xs` and all the elements of `ys`, without
- //! duplicates. For any object `x`, the following holds: `x` is in
- //! `hana::union_(xs, ys)` if and only if `x` is in `xs` or `x` is in `ys`.
- //!
- //!
- //! @param xs, ys
- //! Two sets to compute the union of.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/union.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto union_ = [](auto&& xs, auto&& ys) {
- return tag-dispatched;
- };
- #endif
- //! Returns the intersection of two sets.
- //! @relates hana::set
- //!
- //! Given two sets `xs` and `ys`, `intersection(xs, ys)` is a new set
- //! containing exactly those elements that are present both in `xs` and
- //! in `ys`.
- //! In other words, the following holds for any object `x`:
- //! @code
- //! x ^in^ intersection(xs, ys) if and only if x ^in^ xs && x ^in^ ys
- //! @endcode
- //!
- //!
- //! @param xs, ys
- //! Two sets to intersect.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/intersection.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto intersection = [](auto&& xs, auto&& ys) {
- return tag-dispatched;
- };
- #endif
- //! Equivalent to `to<set_tag>`; provided for convenience.
- //! @relates hana::set
- constexpr auto to_set = to<set_tag>;
- //! Returns the set-theoretic difference of two sets.
- //! @relates hana::set
- //!
- //! Given two sets `xs` and `ys`, `difference(xs, ys)` is a new set
- //! containing all the elements of `xs` that are _not_ contained in `ys`.
- //! For any object `x`, the following holds:
- //! @code
- //! x ^in^ difference(xs, ys) if and only if x ^in^ xs && !(x ^in^ ys)
- //! @endcode
- //!
- //!
- //! This operation is not commutative, i.e. `difference(xs, ys)` is not
- //! necessarily the same as `difference(ys, xs)`. Indeed, consider the
- //! case where `xs` is empty and `ys` isn't. Then, `difference(xs, ys)`
- //! is empty but `difference(ys, xs)` is equal to `ys`. For the symmetric
- //! version of this operation, see `symmetric_difference`.
- //!
- //!
- //! @param xs
- //! A set param to remove values from.
- //!
- //! @param ys
- //! The set whose values are removed from `xs`.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/difference.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto difference = [](auto&& xs, auto&& ys) {
- return tag-dispatched;
- };
- #endif
- //! Returns the symmetric set-theoretic difference of two sets.
- //! @relates hana::set
- //!
- //! Given two sets `xs` and `ys`, `symmetric_difference(xs, ys)` is a new
- //! set containing all the elements of `xs` that are not contained in `ys`,
- //! and all the elements of `ys` that are not contained in `xs`. The
- //! symmetric difference of two sets satisfies the following:
- //! @code
- //! symmetric_difference(xs, ys) == union_(difference(xs, ys), difference(ys, xs))
- //! @endcode
- //!
- //!
- //! @param xs, ys
- //! Two sets to compute the symmetric difference of.
- //!
- //!
- //! Example
- //! -------
- //! @include example/set/symmetric_difference.cpp
- #ifdef BOOST_HANA_DOXYGEN_INVOKED
- constexpr auto symmetric_difference = [](auto&& xs, auto&& ys) {
- return tag-dispatched;
- };
- #endif
- BOOST_HANA_NAMESPACE_END
- #endif // !BOOST_HANA_FWD_SET_HPP
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