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# Sphinx build info version 1 | ||
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. | ||
config: 66b37f8fc70062cd80f7cb01b503acef | ||
tags: 645f666f9bcd5a90fca523b33c5a78b7 |
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.. seampy documentation master file, created by | ||
sphinx-quickstart on Tue Sep 24 12:11:24 2019. | ||
You can adapt this file completely to your liking, but it should at least | ||
contain the root `toctree` directive. | ||
pyAdic | ||
=================================== | ||
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.. toctree:: | ||
:maxdepth: 2 | ||
:caption: Contents: | ||
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The pyadic library is Python 3 package that provides number types for finite fields (ModP) and *p*-adic numbers (PAdic). | ||
The goal is mimic the flexible behavior of built-in types, such as int, float and complex. | ||
Thus, one can mix-and-match the different number types, as long as the operations are consistent. | ||
In particular, ModP and PAdic are compatible with fractions.Fraction. | ||
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Installation | ||
------------ | ||
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Installation is easy with pip:: | ||
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pip install pyadic | ||
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alternatively the package can be cloned from github at https://github.com/GDeLaurentis/pyadic. | ||
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Quick start | ||
----------- | ||
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.. code-block:: python | ||
:caption: Instantiating number pyadic types | ||
:linenos: | ||
from pyadic import PAdic, ModP | ||
from fractions import Fraction as Q | ||
# 7/13 as a 12-digit 2147483647-adic number | ||
PAdic(Q(7, 13), 2147483647, 12) | ||
> 1817101548 + 825955248*2147483647 + 1156337348*2147483647^2 + 330382099*2147483647^3 + 1321528398*2147483647^4 + 991146298*2147483647^5 + 1817101547*2147483647^6 + 825955248*2147483647^7 + 1156337348*2147483647^8 + 330382099*2147483647^9 + 1321528398*2147483647^10 + 991146298*2147483647^11 + O(2147483647^12) | ||
# 7/13 in F_2147483647 | ||
ModP(Q(7, 13), 2147483647) | ||
> 1817101548 % 2147483647 | ||
.. code-block:: python | ||
:caption: Mapping back to rational numbers | ||
:linenos: | ||
:lineno-start: 12 | ||
from pyadic.finite_field import rationalise | ||
rationalise(ModP(Q(7, 13), 2147483647)) | ||
> Fraction(7, 13) | ||
rationalise(PAdic(Q(7, 13), 2147483647, 12)) | ||
> Fraction(7, 13) | ||
Indices and tables | ||
------------------ | ||
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* :ref:`genindex` | ||
* :ref:`modindex` | ||
* :ref:`search` | ||
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.. Hidden TOCs | ||
.. toctree:: | ||
:caption: Modules Documentation | ||
:maxdepth: 2 | ||
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modules |
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pyadic | ||
============= | ||
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.. toctree:: | ||
:maxdepth: 4 | ||
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pyadic |
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pyadic.padic | ||
-------------------- | ||
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.. automodule:: pyadic.padic | ||
:members: | ||
:undoc-members: | ||
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pyadic.finite_field | ||
--------------------- | ||
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.. automodule:: pyadic.finite_field | ||
:members: | ||
:undoc-members: | ||
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Module contents | ||
--------------- | ||
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.. automodule:: pyadic | ||
:members: | ||
:undoc-members: |
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/* Compatability shim for jQuery and underscores.js. | ||
* | ||
* Copyright Sphinx contributors | ||
* Released under the two clause BSD licence | ||
*/ | ||
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/** | ||
* small helper function to urldecode strings | ||
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* See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/decodeURIComponent#Decoding_query_parameters_from_a_URL | ||
*/ | ||
jQuery.urldecode = function(x) { | ||
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return x | ||
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return decodeURIComponent(x.replace(/\+/g, ' ')); | ||
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/** | ||
* small helper function to urlencode strings | ||
*/ | ||
jQuery.urlencode = encodeURIComponent; | ||
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/* | ||
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jQuery.browser = {}; | ||
jQuery.browser[jQuery.uaMatch(navigator.userAgent).browser] = true; | ||
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