{
    "info": {
        "author": "Pauli Rikula",
        "author_email": "",
        "bugtrack_url": null,
        "classifiers": [
            "License :: OSI Approved :: MIT License",
            "Programming Language :: Python :: 3.6"
        ],
        "description": "\n# python-category-equations\n\nCategory is way to represent and generate directed networks by using sinks, \nsources and connections from sources to sinks. With the tools provided here you can\ncreate and simplify category like equations for the given connector operator.\nOn the equations the underlaying '+' and '-' operations are basic set operations\ncalled union and discard  and the multiplication operator '*' connects sources to sinks.\nThe equation system also has a Identity 'I' term and zerO -like termination term 'O'.\nFor futher details go https://en.wikipedia.org/wiki/Category_(mathematics)#Definition\n\n## Usage\n\n\nHere our connector operation is print function called 'debug' which\nprints an arrow between two objects:\n\n    >>> debug('a', 'b')\n    a -> b\n\n    >>> debug('b', 'a')\n    b -> a\n\n    >>> debug('a', 'a')\n    a -> a\n\nGet I and O singletons and class C, which use previously defined debug -function.\n\n    >>> I, O, C = from_operator(debug)\n    >>> I == I\n    True\n    >>> O == I\n    False\n    >>> C(1)\n    C(1)\n\nThe items do have differing sinks and sources:\n\n    >>> I.sinks\n    {I}\n    >>> I.sources\n    {I}\n\n    >>> O.sinks\n    set()\n    >>> O.sources\n    set()\n\n    >>> C(1).sinks\n    {1}\n    >>> C(1).sources\n    {1}\n\n\nYou can write additions also with this notation\n\n    >>> C(1,2) == C(1) + C(2)\n    True\n\n\nThe multiplication connects sources to sinks like this:\n\n    >>> (C(1,2) * C(3,4)).evaluate()\n    1 -> 3\n    1 -> 4\n    2 -> 3\n    2 -> 4\n\n    >>> (C(3,4) * C(1,2)).sinks\n    {3, 4}\n\n    >>> (C(3,4) * C(1,2)).sources\n    {1, 2}\n\nOr\n\n    >>> C(1) * C(2, I) == C(1) + C(1) * C(2)\n    True\n\n    >>> (C(1) * C(2, I)).evaluate()\n    1 -> 2\n\n    >>> (C(1) * C(2, I)).sinks\n    {1}\n\n    >>> (C(1) * C(2, I)).sources\n    {1, 2}\n\nAnd writing C(1,2) instead of C(1) + C(2) works with multiplication too:\n\n    >>> C(1,2) * C(3,4) == (C(1) + C(2)) * (C(3) + C(4))\n    True\n\nThe order inside C(...) does not matter:\n\n    >>> (C(1,2) * C(3,4)) == (C(2,1) * C(4,3))\n    True\n\nOn the other hand you can not swap the terms like:\n\n    >>> (C(1,2) * C(3,4)) == (C(3,4) * C(1,2))\n    False\n\nBecause:\n\n    >>> (C(3,4) * C(1,2)).evaluate()\n    3 -> 1\n    3 -> 2\n    4 -> 1\n    4 -> 2\n\nThe discard operation works like this:\n\n    >>> (C(3,4) * C(1,2) - C(4) * C(1)).evaluate()\n    3 -> 1\n    3 -> 2\n    4 -> 2\n\nBut\n\n    >>> (C(3,4) * C(1,2) - C(4) * C(1)) == C(3) * C(1,2) + C(4) * C(2)\n    False\n\nBecause sinks and sources differ:\n\n    >>> (C(3,4) * C(1,2) - C(4) * C(1)).sinks\n    {3}\n    >>> (C(3) * C(1,2) + C(4) * C(2)).sinks\n    {3, 4}\n\nThe right form would have been:\n\n    >>> (C(3,4) * C(1,2) - C(4) * C(1)) == C(3) * C(1,2) + C(4) * C(2) - C(4) * O - O * C(1)\n    True\n\n\nThe identity I and zero O work together like usual:\n\n    >>> I * I == I\n    True\n    >>> O * I * O == O\n    True\n\n\nIdentity 'I' works as a tool for equation simplifying.\nFor example:\n\n    >>> C(1,2) * C(3,4) * C(5) + C(1,2) * C(5) == C(1,2) * ( C(3,4) + I ) * C(5)\n    True\n\nBecause:\n\n    >>> (C(1,2) * C(3,4) * C(5) + C(1,2) * C(5)).evaluate()\n    1 -> 3\n    1 -> 4\n    1 -> 5\n    2 -> 3\n    2 -> 4\n    2 -> 5\n    3 -> 5\n    4 -> 5\n\nand\n\n    >>> (C(1,2) * ( C(3,4) + I ) * C(5)).evaluate()\n    1 -> 3\n    1 -> 4\n    1 -> 5\n    2 -> 3\n    2 -> 4\n    2 -> 5\n    3 -> 5\n    4 -> 5\n\nIf two terms have the same middle part you can simplify equations\nvia terminating loose sinks or sources with O:\nFor example:\n\n    >>> (C(1) * C(2) * C(4) + C(3) * C(4)).evaluate()\n    1 -> 2\n    2 -> 4\n    3 -> 4\n\n    >>> (C(1) * C(2) * C(4) + O * C(3) * C(4)).evaluate()\n    1 -> 2\n    2 -> 4\n    3 -> 4\n\n    >>> (C(1) * ( C(2) + O * C(3) ) * C(4)).evaluate()\n    1 -> 2\n    2 -> 4\n    3 -> 4\n\n    >>> C(1) * C(2) * C(4) + O * C(3) * C(4) == C(1) * ( C(2) + O * C(3) ) * C(4)\n    True\n\n\nNote that the comparison wont work without the O -term because the sinks differ:\n\n    >>> C(1) * C(2) * C(4) +  C(3) * C(4) == C(1) * ( C(2) + O * C(3) ) * C(4)\n    False\n\n## Equation solving and minimizations\n\nThe module contains also (quite unefficient) simplify -method, which can be used to expression minimization:\n\n    >>> I, O, C = from_operator(debug)\n    >>> m = EquationMap(I, O, C)\n    >>> a = C(1) + C(2)\n    >>> simplify(a, 300, m)\n    (C(1, 2), [C(1) + C(2), C(1, 2)])\n\n    >>> b = C(1) * C(3) + C(2) * C(3)\n    >>> simplified, path = simplify(b, 100, m)\n    >>> simplified\n    C(1, 2) * C(3)\n    >>> for p in path:\n    ...    print(p)\n    C(1) * C(3) + C(2) * C(3)\n    (C(1) * I + C(2) * I) * C(3)\n    (C(1) + C(2) * I) * C(3)\n    (C(1) + C(2)) * C(3)\n    C(1, 2) * C(3)\n\n\nFor proofs use the get_route:\n\n    >>> I, O, C = from_operator(debug)\n    >>> m = EquationMap(I, O, C)\n    >>> a = C(1) * C(3) + C(2) * C(3)\n    >>> b = C(1, 2) * C(3)\n    >>> shortest, path = get_route(a,b, 100, m)\n    >>> for p in path:\n    ...    print(p)\n    C(1) * C(3) + C(2) * C(3)\n    C(1) * C(3) + C(2) * I * C(3)\n    (C(1) * I + C(2) * I) * C(3)\n    (C(1) + C(2) * I) * C(3)\n    (C(1) + C(2)) * C(3)\n    C(1, 2) * C(3)\n\n\n\n\n",
        "description_content_type": "",
        "docs_url": null,
        "download_url": "",
        "downloads": {
            "last_day": -1,
            "last_month": -1,
            "last_week": -1
        },
        "home_page": "https://github.com/kummahiih/python-category-equations",
        "keywords": "",
        "license": "MIT",
        "maintainer": "",
        "maintainer_email": "",
        "name": "python-category-equations",
        "package_url": "https://pypi.org/project/python-category-equations/",
        "platform": "",
        "project_url": "https://pypi.org/project/python-category-equations/",
        "project_urls": {
            "Homepage": "https://github.com/kummahiih/python-category-equations"
        },
        "release_url": "https://pypi.org/project/python-category-equations/0.7.2/",
        "requires_dist": null,
        "requires_python": "~=3.6",
        "summary": "python-category-equations",
        "version": "0.7.2"
    },
    "last_serial": 5649864,
    "releases": {
        "0.2.0": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "a7a6b435e6b208a16e82a0b32d5d1a5a",
                    "sha256": "db6c3502fc413a629790426d6cb59f61145aa04aa0adc828858eb93b0ddb1af4"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.2.0-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "a7a6b435e6b208a16e82a0b32d5d1a5a",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 6429,
                "upload_time": "2018-02-01T21:05:31",
                "url": "https://files.pythonhosted.org/packages/20/b1/114152e4d86f294f4d5d4c0ff6f2f16ccc3378e3ad4c5db057c1c22ba9cc/python_category_equations-0.2.0-py3-none-any.whl"
            }
        ],
        "0.3.0": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "31e3a4f6e2a5ec8437a3c962f1e89e76",
                    "sha256": "6570d654b2da6b700fc151cfc63741b07adb7faf9045a8e33f155e03b4ff3dbf"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.0-py3.6.egg",
                "has_sig": false,
                "md5_digest": "31e3a4f6e2a5ec8437a3c962f1e89e76",
                "packagetype": "bdist_egg",
                "python_version": "3.6",
                "requires_python": "~=3.6",
                "size": 12400,
                "upload_time": "2018-02-10T17:18:32",
                "url": "https://files.pythonhosted.org/packages/ad/fa/40fac2fd6edb347edb9fb6cd2208364f88efd5da014807baab0c48409f64/python_category_equations-0.3.0-py3.6.egg"
            },
            {
                "comment_text": "",
                "digests": {
                    "md5": "80f99ad43983bc89df45e747228e751f",
                    "sha256": "0c9d1f1363b0ec5535d1d987011b5eba05a24a5151330eb62b7a76028bc92458"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.0-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "80f99ad43983bc89df45e747228e751f",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8315,
                "upload_time": "2018-02-10T17:18:47",
                "url": "https://files.pythonhosted.org/packages/02/af/e3781a0dcaf99321c1df49982ea639621542ab2f32c9d42202ce1353b48d/python_category_equations-0.3.0-py3-none-any.whl"
            }
        ],
        "0.3.1": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "69511d9d93b3215b600db7227362d7fe",
                    "sha256": "992d740b1800fb75c55c7bcc8febb94d00034b6d30346759472566353854fb39"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.1-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "69511d9d93b3215b600db7227362d7fe",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8302,
                "upload_time": "2018-02-10T17:24:50",
                "url": "https://files.pythonhosted.org/packages/4f/aa/f0be56e51e1b1efdd9129300a9859296d110e42131a0052567688f523c8c/python_category_equations-0.3.1-py3-none-any.whl"
            }
        ],
        "0.3.2": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "f2e1901655de976151d16790664bf4e4",
                    "sha256": "4194a5d7b87c64c640f5d5db67607be0fa6bd83043004150b1ea391c8ca10358"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.2-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "f2e1901655de976151d16790664bf4e4",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8301,
                "upload_time": "2018-02-10T17:29:42",
                "url": "https://files.pythonhosted.org/packages/57/5d/36d60d7ac9915182e7dea299afb62a4e3e759f01b447b0a5e7d18b22653d/python_category_equations-0.3.2-py3-none-any.whl"
            }
        ],
        "0.3.3": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "a31bf23b8f530e62f33a1c51f8e21a67",
                    "sha256": "b7f8960a248cacd785c871b451373d3c7f7efbe01441e5f6e1ba4ed017da0d79"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.3-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "a31bf23b8f530e62f33a1c51f8e21a67",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8429,
                "upload_time": "2018-03-11T13:41:43",
                "url": "https://files.pythonhosted.org/packages/42/c8/fbb7200ff6bc1efc1c4d0eb730d2de7f17767ce9c104528a9c1883a2f608/python_category_equations-0.3.3-py3-none-any.whl"
            }
        ],
        "0.3.6": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "f63f59daa0883b8bcb6302fb8ba69e5d",
                    "sha256": "1ebbb4d757b18fde69231c363d8abec1f665e9fd93bda212a6862e6f16238910"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.6-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "f63f59daa0883b8bcb6302fb8ba69e5d",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8638,
                "upload_time": "2018-03-18T16:33:34",
                "url": "https://files.pythonhosted.org/packages/b7/84/16d349ed3f92ac2d0795bc645417a08230c1756275648b9971ec799a127e/python_category_equations-0.3.6-py3-none-any.whl"
            }
        ],
        "0.3.7": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "89f28399a8b8ef224e6896782e5a3574",
                    "sha256": "7d8651d2ebc842d459ebee4d9c42c6bb99af64a2e805d726ab9e17b31aebbb61"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.7-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "89f28399a8b8ef224e6896782e5a3574",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 9734,
                "upload_time": "2018-03-18T19:19:32",
                "url": "https://files.pythonhosted.org/packages/4a/7b/3e5f781a4272e5b2dbeafb90cb8c55b1337d8319f410505211b26528d9bc/python_category_equations-0.3.7-py3-none-any.whl"
            }
        ],
        "0.3.8": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "b1c02e953d295e3fb83fe91e0e633e82",
                    "sha256": "e82088cf225677f2ffd32012e99f814650beba4e75afdd2335f73280f0473dd8"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.8-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "b1c02e953d295e3fb83fe91e0e633e82",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 9839,
                "upload_time": "2018-03-18T23:17:23",
                "url": "https://files.pythonhosted.org/packages/f4/3b/024e2d689b130a7cc9ce4560e00d5148a1539dd3093acc4cc14b5e63076b/python_category_equations-0.3.8-py3-none-any.whl"
            }
        ],
        "0.3.9": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "c358e69f75488f5bfe985f6bad48c826",
                    "sha256": "c679566e7ab23c06d0bab6588efdda4c31c61d1ea74910f8cc021d3471470b91"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.3.9-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "c358e69f75488f5bfe985f6bad48c826",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 8812,
                "upload_time": "2019-07-07T08:45:03",
                "url": "https://files.pythonhosted.org/packages/1c/2c/e9cf079e12fd32019acc16e7edd8803ee957046f0ab5e08bc97a59690660/python_category_equations-0.3.9-py3-none-any.whl"
            }
        ],
        "0.5.0": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "97e45ac3bd3b6a3171675d6db27535bf",
                    "sha256": "ed8e6fe140e20e865fe20d4cac4931f1055aee2fc18d8e6b373fe02ee68f3fcf"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.5.0-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "97e45ac3bd3b6a3171675d6db27535bf",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 14814,
                "upload_time": "2019-07-25T16:57:58",
                "url": "https://files.pythonhosted.org/packages/63/63/61f925ffd57be2422fba19c82a05afa784e51305d133a38893ebed9811af/python_category_equations-0.5.0-py3-none-any.whl"
            }
        ],
        "0.6.0": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "e66c3cfd8beb5d338eefb722ca6e6ea2",
                    "sha256": "bc0c51d4fd0d7d1530d6041841d07c9c8f87a145ed58a83cc58bad65453ba846"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.6.0-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "e66c3cfd8beb5d338eefb722ca6e6ea2",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 15613,
                "upload_time": "2019-07-25T22:55:43",
                "url": "https://files.pythonhosted.org/packages/db/7d/94bc7aae2501eda1dd8de7596b7f4cee2ea3a4fdb1c1a06fa0e3b1dcf760/python_category_equations-0.6.0-py3-none-any.whl"
            }
        ],
        "0.7.0": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "d9b983ff0c067d9e77896005b2b2bddf",
                    "sha256": "0056f9d74d68888926092bcbf03f3f3a7967124c019087e8b29f5a2984103418"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.7.0-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "d9b983ff0c067d9e77896005b2b2bddf",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 18176,
                "upload_time": "2019-08-07T22:25:55",
                "url": "https://files.pythonhosted.org/packages/58/14/cac8aa06bc12bb4da0cc622db2fcdd32dadcf5e866305a45df8a1d8ad530/python_category_equations-0.7.0-py3-none-any.whl"
            }
        ],
        "0.7.2": [
            {
                "comment_text": "",
                "digests": {
                    "md5": "43efe3ad4462b0cc0166f7f3df32feac",
                    "sha256": "b2ed21a2db4e2938d9e8923f8294290f04cd565f6d78fe52de884378de4af949"
                },
                "downloads": -1,
                "filename": "python_category_equations-0.7.2-py3-none-any.whl",
                "has_sig": false,
                "md5_digest": "43efe3ad4462b0cc0166f7f3df32feac",
                "packagetype": "bdist_wheel",
                "python_version": "py3",
                "requires_python": "~=3.6",
                "size": 18354,
                "upload_time": "2019-08-08T12:36:17",
                "url": "https://files.pythonhosted.org/packages/9e/52/874bfe89a4975b01cad40cecbca7308ac127bb71254f82865cb37344a9a9/python_category_equations-0.7.2-py3-none-any.whl"
            }
        ]
    },
    "urls": [
        {
            "comment_text": "",
            "digests": {
                "md5": "43efe3ad4462b0cc0166f7f3df32feac",
                "sha256": "b2ed21a2db4e2938d9e8923f8294290f04cd565f6d78fe52de884378de4af949"
            },
            "downloads": -1,
            "filename": "python_category_equations-0.7.2-py3-none-any.whl",
            "has_sig": false,
            "md5_digest": "43efe3ad4462b0cc0166f7f3df32feac",
            "packagetype": "bdist_wheel",
            "python_version": "py3",
            "requires_python": "~=3.6",
            "size": 18354,
            "upload_time": "2019-08-08T12:36:17",
            "url": "https://files.pythonhosted.org/packages/9e/52/874bfe89a4975b01cad40cecbca7308ac127bb71254f82865cb37344a9a9/python_category_equations-0.7.2-py3-none-any.whl"
        }
    ]
}