mp++

Multiprecision for C++



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mp++ is a C++11/14/17/20 library for multiprecision arithmetic, featuring:

• arbitrary-precision integers,
• arbitrary-precision rationals,
• quadruple-precision floats,
• quadruple-precision complex numbers,
• arbitrary-precision floats,
• arbitrary-precision complex numbers.

Design goals include:

• excellent performance for small integer and rational operands,
• easy embeddability in computer algebra systems and generic C++ libraries,
• a large collection of arbitrary-precision special functions,
• an ergonomic API based on modern C++ idioms.

Design non-goals include:

• support for fixed-size wide integrals (i.e., no uint512_t, try Boost Multiprecision instead).

Built on top of the GNU multiprecision stack (GMP, MPFR, MPC), mp++ was initially conceived as a GMP wrapper with special focus on performance with small operands. In particular, a small buffer optimisation and custom implementations of basic mathematical primitives are instrumental in achieving a performance increase, with respect to GMP and other integer multiprecision libraries, which can be substantial (see the benchmarks section of the documentation).

Over time, mp++ has accrued many additional features, including multiprecision real and complex number types, and an expanding library of special functions (built in part on top of the excellent Arb library).

mp++ is a spinoff of the Piranha library, released under the MPL2 license. If you are using mp++ as part of your research, teaching, or other activities, we would be grateful if you could star the repository and/or cite our work. The DOI of the latest version and other citation resources are available at this link.

The documentation is available here.