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https://github.com/mpmath/mpmath

Python library for arbitrary-precision floating-point arithmetic
https://github.com/mpmath/mpmath

arbitrary-precision complex-numbers floating-point multiprecision numerical-integration numerical-methods numerical-optimization ordinary-differential-equations plotting python special-functions

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Python library for arbitrary-precision floating-point arithmetic

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mpmath

======



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A Python library for arbitrary-precision floating-point arithmetic.



Website: https://mpmath.org/

Main author: Fredrik Johansson 



Mpmath is free software released under the New BSD License (see the

LICENSE file for details).



0. History and credits

----------------------



The following people (among others) have contributed major patches

or new features to mpmath:



* Pearu Peterson 

* Mario Pernici 

* Ondrej Certik 

* Vinzent Steinberg 

* Nimish Telang 

* Mike Taschuk 

* Case Van Horsen 

* Jorn Baayen 

* Chris Smith 

* Juan Arias de Reyna 

* Ioannis Tziakos 

* Aaron Meurer 

* Stefan Krastanov 

* Ken Allen 

* Timo Hartmann 

* Sergey B Kirpichev 

* Kris Kuhlman 

* Paul Masson 

* Michael Kagalenko 

* Jonathan Warner 

* Max Gaukler 

* Guillermo Navas-Palencia 

* Nike Dattani 



Numerous other people have contributed by reporting bugs,

requesting new features, or suggesting improvements to the

documentation.



For a detailed changelog, including individual contributions,

see the CHANGES file.



Fredrik's work on mpmath during summer 2008 was sponsored by Google

as part of the Google Summer of Code program.



Fredrik's work on mpmath during summer 2009 was sponsored by the

American Institute of Mathematics under the support of the National Science

Foundation Grant No. 0757627 (FRG: L-functions and Modular Forms).



Any opinions, findings, and conclusions or recommendations expressed in this

material are those of the author(s) and do not necessarily reflect the

views of the sponsors.



Credit also goes to:



* The authors of the GMP library and the Python wrapper

  gmpy, enabling mpmath to become much faster at

  high precision

* The authors of MPFR, pari/gp, MPFUN, and other arbitrary-

  precision libraries, whose documentation has been helpful

  for implementing many of the algorithms in mpmath

* Wikipedia contributors; Abramowitz & Stegun; Gradshteyn & Ryzhik;

  Wolfram Research for MathWorld and the Wolfram Functions site.

  These are the main references used for special functions

  implementations.

* George Brandl for developing the Sphinx documentation tool

  used to build mpmath's documentation



Release history:



* Version 1.3.0 released on March 7, 2023

* Version 1.2.1 released on February 9, 2021

* Version 1.2.0 released on February 1, 2021

* Version 1.1.0 released on December 11, 2018

* Version 1.0.0 released on September 27, 2017

* Version 0.19 released on June 10, 2014

* Version 0.18 released on December 31, 2013

* Version 0.17 released on February 1, 2011

* Version 0.16 released on September 24, 2010

* Version 0.15 released on June 6, 2010

* Version 0.14 released on February 5, 2010

* Version 0.13 released on August 13, 2009

* Version 0.12 released on June 9, 2009

* Version 0.11 released on January 26, 2009

* Version 0.10 released on October 15, 2008

* Version 0.9 released on August 23, 2008

* Version 0.8 released on April 20, 2008

* Version 0.7 released on March 12, 2008

* Version 0.6 released on January 13, 2008

* Version 0.5 released on November 24, 2007

* Version 0.4 released on November 3, 2007

* Version 0.3 released on October 5, 2007

* Version 0.2 released on October 2, 2007

* Version 0.1 released on September 27, 2007



1. Download & installation

--------------------------



Mpmath requires Python 3.8 or later versions.  It has been tested with CPython

3.8 through 3.14 and for PyPy 3.10.



The latest release of mpmath can be downloaded from the mpmath

website and from https://github.com/mpmath/mpmath/releases



It should also be available in the Python Package Index at

https://pypi.python.org/pypi/mpmath



To install latest release of Mpmath with pip, simply run



``pip install mpmath``



or from the source tree



``pip install .``



The latest development code is available from

https://github.com/mpmath/mpmath



See the main documentation for more detailed instructions.



2. Documentation

----------------



Documentation in reStructuredText format is available in the

docs directory included with the source package. These files

are human-readable, but can be compiled to prettier HTML using

`Sphinx `_.



The most recent documentation is also available in HTML format:



https://mpmath.readthedocs.io/



3. Running tests

----------------



The unit tests in mpmath/tests/ can be run with `pytest

`_, see the main documentation.



You may also want to check out the demo scripts in the demo

directory.



The master branch is automatically tested on the Github Actions.



4. Known problems

-----------------



Mpmath is a work in progress. Major issues include:



* Some functions may return incorrect values when given extremely

  large arguments or arguments very close to singularities.



* Directed rounding works for arithmetic operations. It is implemented

  heuristically for other operations, and their results may be off by one

  or two units in the last place (even if otherwise accurate).



* Some IEEE 754 features are not available. Inifinities and NaN are

  partially supported, there is no signed zero; denormal rounding is

  not available at all.



* The interface for switching precision and rounding is not finalized.

  The current method is not threadsafe.



5. Help and bug reports

-----------------------



General questions and comments can be `sent `_

to the `mpmath mailinglist `_.



You can also report bugs and send patches to the mpmath issue tracker,

https://github.com/mpmath/mpmath/issues