Curver
======
.. image:: https://img.shields.io/pypi/v/curver.svg
:target: https://pypi.org/project/curver/
:alt: PyPI version
.. image:: https://img.shields.io/pypi/l/curver.svg
:target: https://pypi.org/project/curver/
:alt: PyPI license
.. image:: https://img.shields.io/github/check-runs/MarkCBell/curver/master
:target: https://github.com/MarkCBell/curver/actions
:alt: Github build status
Curver is a program for performing calculations in the curve complex.
It implements the Bell--Webb algorithm to determine the Nielsen--Thurston type of a mapping class.
This algorithm runs in polynomial time but the constants involved currently make this implementation impractical.
Curver officially supports Python 3.8 -- 3.12.
Unoffically, it also runs on `PyPy`_ and `Sage`_ with some care.
Quickstart
----------
Curver is available on `PyPI`_, so it can be installed via::
$ pip install curver --user --upgrade
Once installed, try it inside of Python::
>>> import curver
>>> S = curver.load(0, 5)
>>> S('s_0.s_1.s_0') == S('s_1.s_0.s_1')
True
>>> f = S('s_0.s_1.s_2.s_3')
>>> g = S('s_0.s_1.s_3.s_2')
>>> h = S('s_0.s_1.S_2.S_3')
>>> f.order(), g.order(), h.order()
(5, 5, 5)
>>> f.is_conjugate_to(g)
True
>>> f.is_conjugate_to(g)
False
Features
--------
- Solves the word problem for mapping class groups.
- Performs Nielsen--Thurston classification of mapping classes.
- `Solves the conjugacy problem for periodic mapping classes <https://periodic.herokuapp.com>`_.
- Computes the asymptotic translation length of mapping classes on the curve complex.
- Computes geodesics in the curve complex.
- Computes quotient orbifolds and their quotient maps.
- Computes the action of mapping classes on H_1.
- Determines the topological type of multicurves.
External Links
--------------
* `PyPI`_
* `ReadTheDocs`_
* `GitHub`_
* `AppVeyor`_
* `Azure`_
.. _AppVeyor: https://ci.appveyor.com/project/MarkCBell/curver
.. _Azure: https://dev.azure.com/MarkCBell/curver
.. _GitHub: https://github.com/MarkCBell/curver
.. _PyPI: https://pypi.org/project/curver
.. _ReadTheDocs: http://curver.readthedocs.io
.. _Sage: http://www.sagemath.org
.. _PyPy: https://pypy.org/
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"description": "\nCurver\n======\n\n.. image:: https://img.shields.io/pypi/v/curver.svg\n :target: https://pypi.org/project/curver/\n :alt: PyPI version\n\n.. image:: https://img.shields.io/pypi/l/curver.svg\n :target: https://pypi.org/project/curver/\n :alt: PyPI license\n\n.. image:: https://img.shields.io/github/check-runs/MarkCBell/curver/master\n :target: https://github.com/MarkCBell/curver/actions\n :alt: Github build status\n\nCurver is a program for performing calculations in the curve complex.\nIt implements the Bell--Webb algorithm to determine the Nielsen--Thurston type of a mapping class.\nThis algorithm runs in polynomial time but the constants involved currently make this implementation impractical.\n\nCurver officially supports Python 3.8 -- 3.12.\nUnoffically, it also runs on `PyPy`_ and `Sage`_ with some care.\n\nQuickstart\n----------\n\nCurver is available on `PyPI`_, so it can be installed via::\n\n $ pip install curver --user --upgrade\n\nOnce installed, try it inside of Python::\n\n >>> import curver\n >>> S = curver.load(0, 5)\n >>> S('s_0.s_1.s_0') == S('s_1.s_0.s_1')\n True\n >>> f = S('s_0.s_1.s_2.s_3')\n >>> g = S('s_0.s_1.s_3.s_2')\n >>> h = S('s_0.s_1.S_2.S_3')\n >>> f.order(), g.order(), h.order()\n (5, 5, 5)\n >>> f.is_conjugate_to(g)\n True\n >>> f.is_conjugate_to(g)\n False\n\nFeatures\n--------\n\n - Solves the word problem for mapping class groups.\n - Performs Nielsen--Thurston classification of mapping classes.\n - `Solves the conjugacy problem for periodic mapping classes <https://periodic.herokuapp.com>`_.\n - Computes the asymptotic translation length of mapping classes on the curve complex.\n - Computes geodesics in the curve complex.\n - Computes quotient orbifolds and their quotient maps.\n - Computes the action of mapping classes on H_1.\n - Determines the topological type of multicurves.\n\nExternal Links\n--------------\n\n* `PyPI`_\n* `ReadTheDocs`_\n* `GitHub`_\n* `AppVeyor`_\n* `Azure`_\n\n.. _AppVeyor: https://ci.appveyor.com/project/MarkCBell/curver\n.. _Azure: https://dev.azure.com/MarkCBell/curver\n.. _GitHub: https://github.com/MarkCBell/curver\n.. _PyPI: https://pypi.org/project/curver\n.. _ReadTheDocs: http://curver.readthedocs.io\n.. _Sage: http://www.sagemath.org\n.. _PyPy: https://pypy.org/\n\n",
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