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/*! @file Forward declares `boost::hana::lazy`. Copyright Louis Dionne 2013-2022 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_LAZY_HPP #define BOOST_HANA_FWD_LAZY_HPP #include #include namespace boost { namespace hana { //! @ingroup group-datatypes //! `hana::lazy` implements superficial laziness via a monadic interface. //! //! It is important to understand that the laziness implemented by `lazy` //! is only superficial; only function applications made inside the `lazy` //! monad can be made lazy, not all their subexpressions. //! //! //! @note //! The actual representation of `hana::lazy` is completely //! implementation-defined. Lazy values may only be created through //! `hana::make_lazy`, and they can be stored in variables using //! `auto`, but any other assumption about the representation of //! `hana::lazy<...>` should be avoided. In particular, one should //! not rely on the fact that `hana::lazy<...>` can be pattern-matched //! on, because it may be a dependent type. //! //! //! Modeled concepts //! ---------------- //! 1. `Functor`\n //! Applying a function over a lazy value with `transform` returns the //! result of applying the function, as a lazy value. //! @include example/lazy/functor.cpp //! //! 2. `Applicative`\n //! A normal value can be lifted into a lazy value by using `lift`. //! A lazy function can be lazily applied to a lazy value by using `ap`. //! //! 3. `Monad`\n //! The `lazy` monad allows combining lazy computations into larger //! lazy computations. Note that the `|` operator can be used in place //! of the `chain` function. //! @include example/lazy/monad.cpp //! //! 4. `Comonad`\n //! The `lazy` comonad allows evaluating a lazy computation to get its //! result and lazily applying functions taking lazy inputs to lazy //! values. This [blog post][1] goes into more details about lazy //! evaluation and comonads. //! @include example/lazy/comonad.cpp //! //! //! @note //! `hana::lazy` only models a few concepts because providing more //! functionality would require evaluating the lazy values in most cases. //! Since this raises some issues such as side effects and memoization, //! the interface is kept minimal. //! //! //! [1]: http://ldionne.com/2015/03/16/laziness-as-a-comonad #ifdef BOOST_HANA_DOXYGEN_INVOKED template struct lazy { //! Equivalent to `hana::chain`. template friend constexpr auto operator|(lazy, F); }; #else // We do not _actually_ define the lazy<...> type. Per the documentation, // users can't rely on it being anything, and so they should never use // it explicitly. The implementation in is much // simpler if we use different types for lazy calls and lazy values. #endif //! Tag representing `hana::lazy`. //! @relates hana::lazy struct lazy_tag { }; //! Lifts a normal value to a lazy one. //! @relates hana::lazy //! //! `make` can be used to lift a normal value or a function call //! into a lazy expression. Precisely, `make(x)` is a lazy value //! equal to `x`, and `make(f)(x1, ..., xN)` is a lazy function //! call that is equal to `f(x1, ..., xN)` when it is `eval`uated. //! //! @note //! It is interesting to note that `make(f)(x1, ..., xN)` is //! equivalent to //! @code //! ap(make(f), lift(x1), ..., lift(xN)) //! @endcode //! which in turn is equivalent to `make(f(x1, ..., xN))`, except //! for the fact that the inner call to `f` is evaluated lazily. //! //! //! Example //! ------- //! @include example/lazy/make.cpp #ifdef BOOST_HANA_DOXYGEN_INVOKED template <> constexpr auto make = [](auto&& x) { return lazy{forwarded(x)}; }; #endif //! Alias to `make`; provided for convenience. //! @relates hana::lazy //! //! Example //! ------- //! @include example/lazy/make.cpp BOOST_HANA_INLINE_VARIABLE constexpr auto make_lazy = make; }} // end namespace boost::hana #endif // !BOOST_HANA_FWD_LAZY_HPP