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The MPL provides a broad range of fundamental algorithms aimed to satisfy the majority of sequential compile-time data processing needs. The algorithms include compile-time counterparts of many of the STL algorithms, iteration algorithms borrowed from functional programming languages, and more.
Unlike the algorithms in the C++ Standard Library, which operate on implict iterator ranges, the majority of MPL counterparts take and return sequences. This derivation is not dictated by the functional nature of C++ compile-time computations per se, but rather by a desire to improve general usability of the library, making programming with compile-time data structures as enjoyable as possible.
In the spirit of the STL, MPL algorithms are generic, meaning that they are not tied to particular sequence class implementations, and can operate on a wide range of arguments as long as they satisfy the documented requirements. The requirements are formulated in terms of concepts. Under the hood, algorithms are decoupled from concrete sequence implementations by operating on Iterators.
All MPL algorithms can be sorted into three major categories: iteration algorithms, querying algorithms, and transformation algorithms. The transformation algorithms introduce an associated Inserter concept, a rough equivalent for the notion of Output Iterator in the Standard Library. Moreover, every transformation algorithm provides a reverse_ counterpart, allowing for a wider range of efficient transformations — a common functionality documented by the Reversible Algorithm concept.