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        "author": "Robert Smallshire",
        "author_email": "rob@sixty-north.com",
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            "Development Status :: 5 - Production/Stable",
            "Intended Audience :: Developers",
            "License :: OSI Approved :: MIT License",
            "Programming Language :: Python :: 3 :: Only",
            "Topic :: Scientific/Engineering :: Mathematics",
            "Topic :: Software Development :: Libraries"
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        "description": "factoradic\n==========\n\nThe *factorial number system* (also known as *factoradic*) is a way of\nrepresenting an integer as the sum of multiples of factorials. All\nintegers have a unique representation in the factoradic number system.\nFor example, the number 1337 can be represented as:\n\n    1*6! + 5*5! + 0*4! + 2*3! + 2*2! + 1*1! + 0*0!\n\nwith coefficients 1 5 0 2 2 1 0. This is the unique factoradic\nrepresentation of decimal 1337.\n\nFactoradic numbers have uses in combinatorics, particularly in the\nnumbering of permutations. This ``factoradic`` library is useful for\nconverting to and from factoradic number representations both in\nPython and from the command-line.\n\nStatus\n------\n\n.. image:: https://travis-ci.org/rob-smallshire/factoradic.svg?branch=master\n    :target: https://travis-ci.org/rob-smallshire/factoradic\n\n.. image:: https://coveralls.io/repos/github/rob-smallshire/factoradic/badge.svg?branch=master\n    :target: https://coveralls.io/github/rob-smallshire/factoradic?branch=master\n\n\n\nInstallation\n------------\n\nThe ``factoradic`` package is available on the Python Package Index (PyPI):\n\n.. image:: https://badge.fury.io/py/factoradic.svg\n    :target: https://badge.fury.io/py/factoradic\n\nThe package supports Python 3 only. To install::\n\n  $ pip install factoradic\n\nPython Interface\n----------------\n\nFor full help::\n\n  >>> import factoradic\n  >>> help(factoradic)\n\nIn the meantime, here are some highlights.\n\nTo convert from an integer to factoradic use ``to_factoradic()``::\n\n  >>> factoradic.to_factoradic(1337)\n  [0, 1, 2, 2, 0, 5, 1]\n\nThe result is the list of coefficients where the factorial of each\nzero-based index gives a place value, and the item at that index is\nthe coefficient by with the place value is to be multiplied. The\nelements are from least-significant to most-significant. Since the\ncoefficient at any index must be less that or equal to the index,\nthe coefficient at index 0 is always 0.\n\nTo convert from factoradic use ``from_factoradic()``::\n\n  >>> factoradic.from_factoradic([0, 1, 2, 2, 0, 5, 1])\n  1337\n\n\nCommand-Line Interface\n----------------------\n\nThere's also a handy command-line interface. Run ``factoradic --help``\nto see a list of commands::\n\n  $ factoradic --help\n  Factoradic.\n\n  Convert to and from the factorial number system.\n\n  Usage:\n    factoradic from-integer <integer> [--expression]\n    factoradic to-integer <coefficient-0> [<coefficient-1> [<coefficient-n>...]]\n\n  Options:\n    -e --expression  Show as a mathematical expression.\n\n\nTo convert from an integer to factoradic, use the ``from-integer`` subcommand::\n\n  $ factoradic from-integer 1729\n  0 1 0 0 2 2 2\n\nThe coefficients are reported from least-significant to most-significant.\nThe see the results as a math expression, specify the ``--expression`` flag::\n\n  $ factoradic from-integer 1729 --expression\n  2*6! + 2*5! + 2*4! + 0*3! + 0*2! + 1*1! + 0*0!\n\nTo convert from factoradic representation use the ``to-integer`` subcommand,\nspecifying the coefficients from least-significant to most-significant::\n\n  $ factoradic to-integer 0 1 0 0 2 2 2\n  1729\n\n\n",
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        "keywords": "combinatorics factoradic factorial number-systems permutations",
        "license": "MIT License",
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