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Core functionalities

Michele Caini edited this page Nov 26, 2024 · 2 revisions

Crash Course: core functionalities

Table of Contents

Introduction

EnTT comes with a bunch of core functionalities mostly used by the other parts of the library.
Many of these tools are also useful in everyday work. Therefore, it's worth describing them so as not to reinvent the wheel in case of need.

Any as in any type

EnTT offers its own any type. It may seem redundant considering that C++17 introduced std::any, but it is not (hopefully).
First of all, the type returned by an std::any is a const reference to an std::type_info, an implementation defined class that's not something everyone wants to see in a software. Furthermore, there is no way to bind it to the type system of the library and therefore with its integrated RTTI support.

The any API is very similar to that of its most famous counterpart, mainly because this class serves the same purpose of being an opaque container for any type of value.
Instances also minimize the number of allocations by relying on a well known technique called small buffer optimization and a fake vtable.

Creating an object of the any type, whether empty or not, is trivial:

// an empty container
entt::any empty{};

// a container for an int
entt::any any{0};

// in place type construction
entt::any in_place_type{std::in_place_type<int>, 42};

// take ownership of already existing, dynamically allocated objects
entt::any in_place{std::in_place, std::make_unique<int>(42).release()};

Alternatively, the make_any function serves the same purpose. It requires to always be explicit about the type and doesn't support taking ownership:

entt::any any = entt::make_any<int>(42);

In all cases, the any class takes the burden of destroying the contained element when required, regardless of the storage strategy used for the specific object.
Furthermore, an instance of any isn't tied to an actual type. Therefore, the wrapper is reconfigured when it's assigned a new object of a type other than the one it contains.

There is also a way to directly assign a value to the variable contained by an entt::any, without necessarily replacing it. This is especially useful when the object is used in aliasing mode, as described below:

entt::any any{42};
entt::any value{3};

// assigns by copy
any.assign(value);

// assigns by move
any.assign(std::move(value));

The any class performs a check on the type information and whether or not the original type was copy or move assignable, as appropriate.
In all cases, the assign function returns a boolean value that is true in case of success and false otherwise.

When in doubt about the type of object contained, the type member function returns a const reference to the type_info associated with its element, or type_id<void>() if the container is empty.
The type is also used internally when comparing two any objects:

if(any == empty) { /* ... */ }

In this case, before proceeding with a comparison, it's verified that the type of the two objects is actually the same.
Refer to the EnTT type system documentation for more details about how type_info works and the possible risks of a comparison.

A particularly interesting feature of this class is that it can also be used as an opaque container for const and non-const references:

int value = 42;

entt::any any{std::in_place_type<int &>(value)};
entt::any cany = entt::make_any<const int &>(value);
entt::any fwd = entt::forward_as_any(value);

any.emplace<const int &>(value);

In other words, whenever any is explicitly told to construct an alias, it acts as a pointer to the original instance rather than making a copy of it or moving it internally. The contained object is never destroyed and users must ensure that its lifetime exceeds that of the container.
Similarly, it's possible to create non-owning copies of any from an existing object:

// aliasing constructor
entt::any ref = other.as_ref();

In this case, it doesn't matter if the original container actually holds an object or is as a reference for unmanaged elements already. The new instance thus created doesn't create copies and only serves as a reference for the original item.

It's worth mentioning that, while everything works transparently when it comes to non-const references, there are some exceptions when it comes to const references.
In particular, the data member function invoked on a non-const instance of any that wraps a const reference returns a null pointer in all cases.

To cast an instance of any to a type, the library offers a set of any_cast functions in all respects similar to their most famous counterparts.
The only difference is that, in the case of EnTT, they won't raise exceptions but will only trigger an assert in debug mode, otherwise resulting in undefined behavior in case of misuse in release mode.

Small buffer optimization

The any class uses a technique called small buffer optimization to reduce the number of allocations where possible.
The default reserved size for an instance of any is sizeof(double[2]). However, this is also configurable if needed. In fact, any is defined as an alias for basic_any<Len>, where Len is the size above.
Users can easily set a custom size or define their own aliases:

using my_any = entt::basic_any<sizeof(double[4])>;

This feature, in addition to allowing the choice of a size that best suits the needs of an application, also offers the possibility of forcing dynamic creation of objects during construction.
In other terms, if the size is 0, any suppresses the small buffer optimization and always dynamically allocates objects (except for aliasing cases).

Alignment requirement

The alignment requirement is optional and by default the most stringent (the largest) for any object whose size is at most equal to the one provided.
It's provided as an optional second parameter following the desired size for the internal storage:

using my_any = entt::basic_any<sizeof(double[4]), alignof(double[4])>;

The basic_any class template inspects the alignment requirements in each case, even when not provided and may decide not to use the small buffer optimization in order to meet them.

Bit

Finding out the population count of an unsigned integral value (popcount), whether a number is a power of two or not (has_single_bit) as well as the next power of two given a random value (next_power_of_two) can be useful.
For example, it helps to allocate memory in pages having a size suitable for the fast modulus:

const std::size_t result = entt::fast_mod(value, modulus);

Where modulus is necessarily a power of two. Perhaps not everyone knows that this type of operation is far superior in terms of performance to the basic modulus and for this reason preferred in many areas.

Compressed pair

Primarily designed for internal use and far from being feature complete, the compressed_pair class does exactly what it promises: it tries to reduce the size of a pair by exploiting Empty Base Class Optimization (or EBCO).
This class is not a drop-in replacement for std::pair. However, it offers enough functionalities to be a good alternative for when reducing memory usage is more important than having some cool and probably useless feature.

Although the API is very close to that of std::pair (apart from the fact that the template parameters are inferred from the constructor and therefore there is no entt::make_compressed_pair), the major difference is that first and second are functions for implementation requirements:

entt::compressed_pair pair{0, 3.};
pair.first() = 42;

There isn't much to describe then. It's recommended to rely on documentation and intuition. At the end of the day, it's just a pair and nothing more.

Enum as bitmask

Sometimes it's useful to be able to use enums as bitmasks. However, enum classes aren't really suitable for the purpose. Main problem is that they don't convert implicitly to their underlying type.
The choice is then between using old-fashioned enums (with all their problems that I don't want to discuss here) or writing ugly code.

Fortunately, there is also a third way: adding enough operators in the global scope to treat enum classes as bitmasks transparently.
The ultimate goal is to write code like the following (or maybe something more meaningful, but this should give a grasp and remain simple at the same time):

enum class my_flag {
    unknown = 0x01,
    enabled = 0x02,
    disabled = 0x04
};

const my_flag flags = my_flag::enabled;
const bool is_enabled = !!(flags & my_flag::enabled);

The problem with adding all operators to the global scope is that these come into play even when not required, with the risk of introducing errors that are difficult to deal with.
However, C++ offers enough tools to get around this problem. In particular, the library requires users to register the enum classes for which bitmask support should be enabled:

template<>
struct entt::enum_as_bitmask<my_flag>
    : std::true_type
{};

This is handy when dealing with enum classes defined by third party libraries and over which the user has no control. However, it's also verbose and can be avoided by adding a specific value to the enum class itself:

enum class my_flag {
    unknown = 0x01,
    enabled = 0x02,
    disabled = 0x04,
    _entt_enum_as_bitmask
};

In this case, there is no need to specialize the enum_as_bitmask traits, since EnTT automatically detects the flag and enables the bitmask support.
Once the enum class is registered (in one way or the other), the most common operators such as &, | but also &= and |= are available for use.

Refer to the official documentation for the full list of operators.

Hashed strings

Hashed strings are human-readable identifiers in the codebase that turn into numeric values at runtime, thus without affecting performance.
The class has an implicit constexpr constructor that chews a bunch of characters. Once created, one can get the original string by means of the data member function or convert the instance into a number.
A hashed string is well suited wherever a constant expression is required. No string-to-number conversion will take place at runtime if used carefully.

Example of use:

auto load(entt::hashed_string::hash_type resource) {
    // uses the numeric representation of the resource to load and return it
}

auto resource = load(entt::hashed_string{"gui/background"});

There is also a user defined literal dedicated to hashed strings to make them more user-friendly:

using namespace entt::literals;
constexpr auto str = "text"_hs;

User defined literals in EnTT are enclosed in the entt::literals namespace. Therefore, the entire namespace or selectively the literal of interest must be explicitly included before each use, a bit like std::literals.
The class also offers the necessary functionalities to create hashed strings at runtime:

std::string orig{"text"};

// create a full-featured hashed string...
entt::hashed_string str{orig.c_str()};

// ... or compute only the unique identifier
const auto hash = entt::hashed_string::value(orig.c_str());

This possibility shouldn't be exploited in tight loops, since the computation takes place at runtime and no longer at compile-time. It could therefore affect performance to some degrees.

Wide characters

The hashed_string class is an alias for basic_hashed_string<char>. To use the C++ type for wide character representations, there exists also the alias hashed_wstring for basic_hashed_string<wchar_t>.
In this case, the user defined literal to use to create hashed strings on the fly is _hws:

constexpr auto str = L"text"_hws;

The hash type of hashed_wstring is the same as its counterpart.

Conflicts

The hashed string class uses FNV-1a internally to hash strings. Because of the pigeonhole principle, conflicts are possible. This is a fact.
There is no silver bullet to solve the problem of conflicts when dealing with hashing functions. In this case, the best solution is likely to give up. That's all.
After all, human-readable unique identifiers aren't something strictly defined and over which users have not the control. Choosing a slightly different identifier is probably the best solution to make the conflict disappear in this case.

Iterators

Writing and working with iterators isn't always easy. More often than not it also leads to duplicated code.
EnTT tries to overcome this problem by offering some utilities designed to make this hard work easier.

Input iterator pointer

When writing an input iterator that returns in-place constructed values if dereferenced, it's not always straightforward to figure out what value_type is and how to make it behave like a full-fledged pointer.
Conversely, it would be very useful to have an operator-> available on the iterator itself that always works without too much complexity.

The input iterator pointer is meant for this. It's a small class that wraps the in-place constructed value and adds some functions on top of it to make it suitable for use with input iterators:

struct iterator_type {
    using value_type = std::pair<first_type, second_type>;
    using pointer = input_iterator_pointer<value_type>;
    using reference = value_type;
    using difference_type = std::ptrdiff_t;
    using iterator_category = std::input_iterator_tag;

    // ...
}

The library makes extensive use of this class internally. In many cases, the value_type of the returned iterators is just an input iterator pointer.

Iota iterator

Waiting for C++20, this iterator accepts an integral value and returns all elements in a certain range:

entt::iota_iterator first{0};
entt::iota_iterator last{100};

for(; first != last; ++first) {
    int value = *first;
    // ...
}

In the future, views will replace this class. Meanwhile, the library makes some interesting uses of it when a range of integral values is to be returned to the user.

Iterable adaptor

Typically, a container class provides begin and end member functions (with their const counterparts) for iteration.
However, it can happen that a class offers multiple iteration methods or allows users to iterate different sets of elements.

The iterable adaptor is a utility class that makes it easier to use and access data in this case.
It accepts a couple of iterators (or an iterator and a sentinel) and offers an iterable object with all the expected methods like begin, end and whatnot.

The library uses this class extensively.
Think for example of views, which can be iterated to access entities but also offer a method of obtaining an iterable object that returns tuples of entities and components at once.
Another example is the registry class which allows users to iterate its storage by returning an iterable object for the purpose.

Memory

There are a handful of tools within EnTT to interact with memory in one way or another.
Some are geared towards simplifying the implementation of (internal or external) allocator aware containers. Others are designed to help the developer with everyday problems.

The former are very specific and for niche problems. These are tools designed to unwrap fancy or plain pointers (to_address) or to help forget the meaning of acronyms like POCCA, POCMA or POCS.
I won't describe them here in detail. Instead, I recommend reading the inline documentation to those interested in the subject.

Allocator aware unique pointers

A nasty thing in C++ (at least up to C++20) is the fact that shared pointers support allocators while unique pointers don't.
There is a proposal at the moment that also shows (among the other things) how this can be implemented without any compiler support.

The allocate_unique function follows this proposal, making a virtue out of necessity:

std::unique_ptr<my_type, entt::allocation_deleter<my_type>> ptr = entt::allocate_unique<my_type>(allocator, arguments);

Although the internal implementation is slightly different from what is proposed for the standard, this function offers an API that is a drop-in replacement for the same feature.

Monostate

The monostate pattern is often presented as an alternative to a singleton based configuration system.
This is exactly its purpose in EnTT. Moreover, this implementation is thread safe by design (hopefully).

Keys are integral values (easily obtained by hashed strings), values are basic types like ints or bools. Values of different types can be associated with each key, even more than one at a time.
Because of this, one should pay attention to use the same type both during an assignment and when trying to read back the data. Otherwise, there is the risk to incur in unexpected results.

Example of use:

entt::monostate<entt::hashed_string{"mykey"}>{} = true;
entt::monostate<"mykey"_hs>{} = 42;

// ...

const bool b = entt::monostate<"mykey"_hs>{};
const int i = entt::monostate<entt::hashed_string{"mykey"}>{};

Type support

EnTT provides some basic information about types of all kinds.
It also offers additional features that are not yet available in the standard library or that will never be.

Built-in RTTI support

Runtime type identification support (or RTTI) is one of the most frequently disabled features in the C++ world, especially in the gaming sector. Regardless of the reasons for this, it's often a shame not to be able to rely on opaque type information at runtime.
The library tries to fill this gap by offering a built-in system that doesn't serve as a replacement but comes very close to being one and offers similar information to that provided by its counterpart.

Basically, the whole system relies on a handful of classes. In particular:

  • The unique sequential identifier associated with a given type:

    auto index = entt::type_index<a_type>::value();

    The returned value isn't guaranteed to be stable across different runs.
    However, it can be very useful as index in associative and unordered associative containers or for positional accesses in a vector or an array.

    An external generator can also be used if needed. In fact, type_index can be specialized by type and is also sfinae-friendly in order to allow more refined specializations such as:

    template<typename Type>
    struct entt::type_index<Type, std::void_d<decltype(Type::index())>> {
        static entt::id_type value() noexcept {
            return Type::index();
        }
    };

    Indexes must be sequentially generated in this case.
    The tool is widely used within EnTT. Generating indices not sequentially would break an assumption and would likely lead to undesired behaviors.

  • The hash value associated with a given type:

    auto hash = entt::type_hash<a_type>::value();

    In general, the value function exposed by type_hash is also constexpr but this isn't guaranteed for all compilers and platforms (although it's valid with the most well-known and popular ones).

    This function can use non-standard features of the language for its own purposes. This makes it possible to provide compile-time identifiers that remain stable across different runs.
    Users can prevent the library from using these features by means of the ENTT_STANDARD_CPP definition. In this case, there is no guarantee that identifiers remain stable across executions. Moreover, they are generated at runtime and are no longer a compile-time thing.

    As it happens with type_index, also type_hash is a sfinae-friendly class that can be specialized in order to customize its behavior globally or on a per-type or per-traits basis.

  • The name associated with a given type:

    auto name = entt::type_name<a_type>::value();

    This value is extracted from some information generally made available by the compiler in use. Therefore, it may differ depending on the compiler and may be empty in the event that this information isn't available.
    For example, given the following class:

    struct my_type { /* ... */ };

    The name is my_type when compiled with GCC or CLang and struct my_type when MSVC is in use.
    Most of the time the name is also retrieved at compile-time and is therefore always returned through an std::string_view. Users can easily access it and modify it as needed, for example by removing the word struct to normalize the result. EnTT doesn't do this for obvious reasons, since it would be creating a new string at runtime otherwise.

    This function can use non-standard features of the language for its own purposes. Users can prevent the library from using these features by means of the ENTT_STANDARD_CPP definition. In this case, the name is just empty.

    As it happens with type_index, also type_name is a sfinae-friendly class that can be specialized in order to customize its behavior globally or on a per-type or per-traits basis.

These are then combined into utilities that aim to offer an API that is somewhat similar to that made available by the standard library.

Type info

The type_info class isn't a drop-in replacement for std::type_info but can provide similar information which are not implementation defined and don't require to enable RTTI.
Therefore, they can sometimes be even more reliable than those obtained otherwise.

Its type defines an opaque class that is also copyable and movable.
Objects of this type are generally returned by the type_id functions:

// by type
auto info = entt::type_id<a_type>();

// by value
auto other = entt::type_id(42);

All elements thus received are nothing more than const references to instances of type_info with static storage duration.
This is convenient for saving the entire object aside for the cost of a pointer. However, nothing prevents from constructing type_info objects directly:

entt::type_info info{std::in_place_type<int>};

These are the information made available by type_info:

  • The index associated with a given type:

    auto idx = entt::type_id<a_type>().index();

    This is also an alias for the following:

    auto idx = entt::type_index<std::remove_cv_t<std::remove_reference_t<a_type>>>::value();
  • The hash value associated with a given type:

    auto hash = entt::type_id<a_type>().hash();

    This is also an alias for the following:

    auto hash = entt::type_hash<std::remove_cv_t<std::remove_reference_t<a_type>>>::value();
  • The name associated with a given type:

    auto name = entt::type_id<my_type>().name();

    This is also an alias for the following:

    auto name = entt::type_name<std::remove_cv_t<std::remove_reference_t<a_type>>>::value();

Where all accessed features are available at compile-time, the type_info class is also fully constexpr. However, this cannot be guaranteed in advance and depends mainly on the compiler in use and any specializations of the classes described above.

Almost unique identifiers

Since the default non-standard, compile-time implementation of type_hash makes use of hashed strings, it may happen that two types are assigned the same hash value.
In fact, although this is quite rare, it's not entirely excluded.

Another case where two types are assigned the same identifier is when classes from different contexts (for example two or more libraries loaded at runtime) have the same fully qualified name. In this case, type_name returns the same value for the two types.
Fortunately, there are several easy ways to deal with this:

  • The most trivial one is to define the ENTT_STANDARD_CPP macro. Runtime identifiers don't suffer from the same problem in fact. However, this solution doesn't work well with a plugin system, where the libraries aren't linked.

  • Another possibility is to specialize the type_name class for one of the conflicting types, in order to assign it a custom identifier. This is probably the easiest solution that also preserves the feature of the tool.

  • A fully customized identifier generation policy (based for example on enum classes or preprocessing steps) may represent yet another option.

These are just some examples of possible approaches to the problem but there are many others. As already mentioned above, since users have full control over their types, this problem is in any case easy to solve and should not worry too much.
In all likelihood, it will never happen to run into a conflict anyway.

Type traits

A handful of utilities and traits not present in the standard template library but which can be useful in everyday life.
This list is not exhaustive and contains only some of the most useful classes. Refer to the inline documentation for more information on the features offered by this module.

Size of

The standard operator sizeof complains if users provide it with functions or incomplete types. On the other hand, it's guaranteed that its result is always non-zero, even if applied to an empty class type.
This small class combines the two and offers an alternative to sizeof that works under all circumstances, returning zero if the type isn't supported:

const auto size = entt::size_of_v<void>;

Is applicable

The standard library offers the great std::is_invocable trait in several forms. This takes a function type and a series of arguments and returns true if the condition is satisfied.
Moreover, users are also provided with std::apply, a tool for combining invocable elements and tuples of arguments.

It would therefore be a good idea to have a variant of std::is_invocable that also accepts its arguments in the form of a tuple-like type, so as to complete the offer:

constexpr bool result = entt::is_applicable<Func, std::tuple<a_type, another_type>>;

This trait is built on top of std::is_invocable and does nothing but unpack a tuple-like type and simplify the code at the call site.

Constness as

A utility to easily transfer the constness of a type to another type:

// type is const dst_type because of the constness of src_type
using type = entt::constness_as_t<dst_type, const src_type>;

The trait is subject to the rules of the language. For example, transferring constness between references won't give the desired effect.

Member class type

The auto template parameter introduced with C++17 made it possible to simplify many class templates and template functions but also made the class type opaque when members are passed as template arguments.
The purpose of this utility is to extract the class type in a few lines of code:

template<typename Member>
using clazz = entt::member_class_t<Member>;

N-th argument

A utility to quickly find the n-th argument of a function, member function or data member (for blind operations on opaque types):

using type = entt::nth_argument_t<1u, decltype(&clazz::member)>;

Disambiguation of overloaded functions is the responsibility of the user, should it be needed.

Integral constant

Since std::integral_constant may be annoying because of its form that requires to specify both a type and a value of that type, there is a more user-friendly shortcut for the creation of integral constants.
This shortcut is the alias template entt::integral_constant:

constexpr auto constant = entt::integral_constant<42>;

Among the other uses, when combined with a hashed string it helps to define tags as human-readable names where actual types would be required otherwise:

constexpr auto enemy_tag = entt::integral_constant<"enemy"_hs>;
registry.emplace<enemy_tag>(entity);

Tag

Type id_type is very important and widely used in EnTT. Therefore, there is a more user-friendly shortcut for the creation of constants based on it.
This shortcut is the alias template entt::tag.

If used in combination with hashed strings, it helps to use human-readable names where types would be required otherwise. As an example:

registry.emplace<entt::tag<"enemy"_hs>>(entity);

However, this isn't the only permitted use. Literally any value convertible to id_type is a good candidate, such as the named constants of an unscoped enum.

Type list and value list

There is no respectable library where the much desired type list can be missing.
EnTT is no exception and provides (making extensive use of it internally) the type_list type, in addition to its value_list counterpart dedicated to non-type template parameters.

Here is a (possibly incomplete) list of the functionalities that come with a type list:

  • type_list_element[_t] to get the N-th element of a type list.
  • type_list_index[_v] to get the index of a given element of a type list.
  • type_list_cat[_t] and a handy operator+ to concatenate type lists.
  • type_list_unique[_t] to remove duplicate types from a type list.
  • type_list_contains[_v] to know if a type list contains a given type.
  • type_list_diff[_t] to remove types from type lists.
  • type_list_transform[_t] to transform a range and create another type list.

I'm also pretty sure that more and more utilities will be added over time as needs become apparent.
Many of these functionalities also exist in their version dedicated to value lists. We therefore have value_list_element[_v] as well as value_list_cat[_t]and so on.

Unique sequential identifiers

Sometimes it's useful to be able to give unique, sequential numeric identifiers to types either at compile-time or runtime.
There are plenty of different solutions for this out there and I could have used one of them. However, I decided to spend my time to define a couple of tools that fully embraces what the modern C++ has to offer.

Compile-time generator

To generate sequential numeric identifiers at compile-time, EnTT offers the ident class template:

// defines the identifiers for the given types
using id = entt::ident<a_type, another_type>;

// ...

switch(a_type_identifier) {
case id::value<a_type>:
    // ...
    break;
case id::value<another_type>:
    // ...
    break;
default:
    // ...
}

This is what this class template has to offer: a value inline variable that contains a numeric identifier for the given type. It can be used in any context where constant expressions are required.

As long as the list remains unchanged, identifiers are also guaranteed to be stable across different runs. In case they have been used in a production environment and a type has to be removed, one can just use a placeholder to leave the other identifiers unchanged:

template<typename> struct ignore_type {};

using id = entt::ident<
    a_type_still_valid,
    ignore_type<no_longer_valid_type>,
    another_type_still_valid
>;

Perhaps a bit ugly to see in a codebase but it gets the job done at least.

Runtime generator

The family class template helps to generate sequential numeric identifiers for types at runtime:

// defines a custom generator
using id = entt::family<struct my_tag>;

// ...

const auto a_type_id = id::value<a_type>;
const auto another_type_id = id::value<another_type>;

This is what a family has to offer: a value inline variable that contains a numeric identifier for the given type.
The generator is customizable, so as to get different sequences for different purposes if needed.

Identifiers aren't guaranteed to be stable across different runs. Indeed it mostly depends on the flow of execution.

Utilities

It's not possible to escape the temptation to add utilities of some kind to a library. In fact, EnTT also provides a handful of tools to simplify the life of developers:

  • entt::identity: the identity function object that will be available with C++20. It returns its argument unchanged and nothing more. It's useful as a sort of do nothing function in template programming.

  • entt::overload: a tool to disambiguate different overloads from their function type. It works with both free and member functions.
    Consider the following definition:

    struct clazz {
        void bar(int) {}
        void bar() {}
    };

    This utility can be used to get the right overload as:

    auto *member = entt::overload<void(int)>(&clazz::bar);

    The line above is literally equivalent to:

    auto *member = static_cast<void(clazz:: *)(int)>(&clazz::bar);

    Just easier to read and shorter to type.

  • entt::overloaded: a small class template used to create a new type with an overloaded operator() from a bunch of lambdas or functors.
    As an example:

    entt::overloaded func{
        [](int value) { /* ... */ },
        [](char value) { /* ... */ }
    };
    
    func(42);
    func('c');

    Rather useful when doing metaprogramming and having to pass to a function a callable object that supports multiple types at once.

  • entt::y_combinator: this is a C++ implementation of the y-combinator. If it's not clear what it is, there is probably no need for this utility.
    Below is a small example to show its use:

    entt::y_combinator gauss([](const auto &self, auto value) -> unsigned int {
        return value ? (value + self(value-1u)) : 0;
    });
    
    const auto result = gauss(3u);

    Maybe convoluted at a first glance but certainly effective. Unfortunately, the language doesn't make it possible to do much better.

This is a rundown of the (actually few) utilities made available by EnTT. The list will probably grow over time but the size of each will remain rather small, as has been the case so far.