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3.4 Bit-slice trees. 3.5 Multi-way trees. ... Tagged union (also called a variant, discriminated union or sum type), a union with a tag specifying which type the data is;
For example, it is possible to have the standard C++ string as a member of a union. The primary use of a union is allowing access to a common location by different data types, for example hardware input/output access, bitfield and word sharing, or type punning. Unions can also provide low-level polymorphism. However, there is no checking of ...
The worst-case time of the Find operation in trees with Union by rank or Union by weight is () (i.e., it is () and this bound is tight). In 1985, N. Blum gave an implementation of the operations that does not use path compression, but compresses trees during u n i o n {\displaystyle union} .
The primary advantage of a tagged union over an untagged union is that all accesses are safe, and the compiler can even check that all cases are handled. Untagged unions depend on program logic to correctly identify the currently active field, which may result in strange behavior and hard-to-find bugs if that logic fails.
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
In C, declaring a new type with the same name as an existing struct, union or enum is valid, but it is invalid in C++, because in C, struct, union, and enum types must be indicated as such whenever the type is referenced whereas in C++, all declarations of such types carry the typedef implicitly.
Since a query may return all intervals, for example if the query is a large interval intersecting all intervals in the collection, this is asymptotically optimal; however, we can do better by considering output-sensitive algorithms, where the runtime is expressed in terms of , the number of intervals produced by the query.
The C++ Standard Library also incorporates most headers of the ISO C standard library ending with ".h", but their use was deprecated (reverted the deprecation since C++23 [2]). [3] C++23 instead considers these headers as useful for interoperability with C, and recommends against their usage outside of programs that are intended to be both ...