mp++ is a C++11/14/17/20 library for multiprecision arithmetic, featuring:
quadruple-precision complex numbers,
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).
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.
mp++ is under active development, and, although we try not to break the API gratuitously, backwards-incompatible changes do happen from time to time. The API will be stabilised with the upcoming release of version 1.0.
This documentation refers to the latest development version of mp++, and it may describe features not yet available in mp++’s stable releases.
- Construction, conversion and assignment
- Input and output
- The numerical tower and type coercion
- Common operators
- API overview
- Integer tutorial
- Rational tutorial
- Quadruple-precision float tutorial
- Quadruple-precision complex numbers tutorial
- Multiprecision float tutorial
- Multiprecision complex numbers tutorial
- Boost.serialization support
- Extra: integration with pybind11
- Interactive notebooks
- 0.23 (2021-04-02)
- 0.22 (2021-01-03)
- 0.21 (2020-06-17)
- 0.20 (2020-06-03)
- 0.19 (2020-02-29)
- 0.18 (2020-02-14)
- 0.17 (2019-09-13)
- 0.16 (2019-05-25)
- 0.15 (2019-05-24)
- 0.14 (2019-04-11)
- 0.13 (2019-03-13)
- 0.12 (2018-10-11)
- 0.11 (2018-05-22)
- 0.10 (2018-04-06)
- 0.9 (2018-02-25)
- 0.8 (2018-01-26)
- 0.7 (2018-01-11)
- 0.6 (2017-12-05)
- 0.5 (2017-11-07)
- 0.4 (2017-07-29)
- 0.3 (2017-06-12)
- 0.2 (2017-05-09)