|License| |Build Status| |Docs| |Python Versions| |Downloads| |Status| |Code Coverage|
.. image:: https://github.com/python-constraint/python-constraint/raw/main/docs/assets/logo/N-Queens_problem_Python.svg
:align: center
:width: 50%
python-constraint
=================
| This software is now back to active development / maintainance status.
| IMPORTANT: the new version can be installed with `pip install python-constraint2`, as the original pip release will not be updated.
| For an overview of recent changes, visit the `Changelog <https://github.com/python-constraint/python-constraint/blob/main/CHANGELOG.md>`_.
| The complete documentation can be found `here <http://python-constraint.github.io/python-constraint/>`_.
| New: writing constraints in the new string format is preferable over functions and lambdas.
| These strings, even as compound statements, are automatically parsed to faster built-in constraints, are more concise, and do not require constraint solving familiarity by the user to be efficient.
| For example, :code:`problem.addConstraint(["50 <= x * y < 100"])` is parsed to :code:`[MinProdConstraint(50, ["x", "y"]), MaxProdConstraint(100, ["x", "y"])]`.
| Similarly, :code:`problem.addConstraint(["x / y == z"])` is parsed to :code:`[ExactProdConstraint("x", ["z", "y"])]`.
| This feature is in beta and subject to possible change, please provide feedback.
.. contents::
:local:
:depth: 1
Introduction
------------
The :code:`python-constraint` module offers efficient solvers for `Constraint Satisfaction Problems (CSPs) <https://en.wikipedia.org/wiki/Constraint_satisfaction_problem>`_ over finite domains in an accessible Python package.
CSP is class of problems which may be represented in terms of variables (a, b, ...), domains (a in [1, 2, 3], ...), and constraints (a < b, ...).
Examples
--------
Basics
~~~~~~
This interactive Python session demonstrates basic operations:
.. code-block:: python
>>> from constraint import *
>>> problem = Problem()
>>> problem.addVariable("a", [1,2,3])
>>> problem.addVariable("b", [4,5,6])
>>> problem.getSolutions() # doctest: +NORMALIZE_WHITESPACE
[{'a': 3, 'b': 6}, {'a': 3, 'b': 5}, {'a': 3, 'b': 4},
{'a': 2, 'b': 6}, {'a': 2, 'b': 5}, {'a': 2, 'b': 4},
{'a': 1, 'b': 6}, {'a': 1, 'b': 5}, {'a': 1, 'b': 4}]
>>> problem.addConstraint("a*2 == b") # string constraints are preferable over the black-box problem.addConstraint(lambda a, b: a*2 == b, ("a", "b"))
>>> problem.getSolutions()
[{'a': 3, 'b': 6}, {'a': 2, 'b': 4}]
>>> problem = Problem()
>>> problem.addVariables(["a", "b"], [1, 2, 3])
>>> problem.addConstraint(AllDifferentConstraint())
>>> problem.getSolutions() # doctest: +NORMALIZE_WHITESPACE
[{'a': 3, 'b': 2}, {'a': 3, 'b': 1}, {'a': 2, 'b': 3},
{'a': 2, 'b': 1}, {'a': 1, 'b': 2}, {'a': 1, 'b': 3}]
Rooks problem
~~~~~~~~~~~~~
The following example solves the classical Eight Rooks problem:
.. code-block:: python
>>> problem = Problem()
>>> numpieces = 8
>>> cols = range(numpieces)
>>> rows = range(numpieces)
>>> problem.addVariables(cols, rows)
>>> for col1 in cols:
... for col2 in cols:
... if col1 < col2:
... problem.addConstraint(lambda row1, row2: row1 != row2, (col1, col2))
>>> solutions = problem.getSolutions()
>>> solutions # doctest: +NORMALIZE_WHITESPACE +ELLIPSIS
[{0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1, 7: 0},
{0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 0, 7: 1},
{0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 1, 6: 2, 7: 0},
{0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 1, 6: 0, 7: 2},
...
{0: 7, 1: 5, 2: 3, 3: 6, 4: 2, 5: 1, 6: 4, 7: 0},
{0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 2, 6: 0, 7: 4},
{0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 2, 6: 4, 7: 0},
{0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 4, 6: 2, 7: 0},
{0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 4, 6: 0, 7: 2},
...]
Magic squares
~~~~~~~~~~~~~
This example solves a 4x4 magic square:
.. code-block:: python
>>> problem = Problem()
>>> problem.addVariables(range(0, 16), range(1, 16 + 1))
>>> problem.addConstraint(AllDifferentConstraint(), range(0, 16))
>>> problem.addConstraint(ExactSumConstraint(34), [0, 5, 10, 15])
>>> problem.addConstraint(ExactSumConstraint(34), [3, 6, 9, 12])
>>> for row in range(4):
... problem.addConstraint(ExactSumConstraint(34), [row * 4 + i for i in range(4)])
>>> for col in range(4):
... problem.addConstraint(ExactSumConstraint(34), [col + 4 * i for i in range(4)])
>>> solutions = problem.getSolutions() # doctest: +SKIP
Features
--------
The following solvers are available:
- :code:`OptimizedBacktrackingSolver` (default)
- :code:`BacktrackingSolver`
- :code:`RecursiveBacktrackingSolver`
- :code:`MinConflictsSolver`
- :code:`ParallelSolver`
.. role:: python(code)
:language: python
Predefined constraint types currently available (use the parsing for automatic conversion to these types):
- :code:`FunctionConstraint`
- :code:`AllDifferentConstraint`
- :code:`AllEqualConstraint`
- :code:`ExactSumConstraint`
- :code:`MinSumConstraint`
- :code:`MaxSumConstraint`
- :code:`MinProdConstraint`
- :code:`ExactProdConstraint`
- :code:`MaxProdConstraint`
- :code:`VariableExactSumConstraint`
- :code:`VariableMinSumConstraint`
- :code:`VariableMaxSumConstraint`
- :code:`VariableMinProdConstraint`
- :code:`VariableExactProdConstraint`
- :code:`VariableMaxProdConstraint`
- :code:`InSetConstraint`
- :code:`NotInSetConstraint`
- :code:`SomeInSetConstraint`
- :code:`SomeNotInSetConstraint`
API documentation
-----------------
Documentation for the module is available at: http://python-constraint.github.io/python-constraint/.
It can be built locally by running :code:`make clean html` from the `docs` folder.
For viewing RST files locally, `restview <https://pypi.org/project/restview/>`_ is recommended.
Download and install
--------------------
.. code-block:: shell
$ pip install python-constraint2
Testing
-------
Run :code:`nox` (tests for all supported Python versions in own virtual environment).
To test against your local Python version: make sure you have the development dependencies installed.
Run :code:`pytest` (optionally add :code:`--no-cov` if you have the C-extensions enabled).
Contributing
------------
Feel free to contribute by `submitting pull requests <https://github.com/python-constraint/python-constraint/pulls>`_ or `opening issues <https://github.com/python-constraint/python-constraint/issues>`_.
Please refer to the `contribution guidelines <https://github.com/python-constraint/python-constraint/contribute>`_ before doing so.
Roadmap
-------
This GitHub organization and repository is a global effort to help to maintain :code:`python-constraint`, which was written by Gustavo Niemeyer and originaly located at https://labix.org/python-constraint.
For an overview of recent changes, visit the `Changelog <https://github.com/python-constraint/python-constraint/blob/main/CHANGELOG.md>`_.
Planned development:
- Support constant modifiers on parsed (variable) constraints instead defaulting to `FunctionConstraint`, e.g. :code:`problem.addConstraint("a+2 == b")` or :code:`problem.addConstraint("x / y == 100")`
- Parse using Abstract Syntax Trees (AST) instead of the current parser to be more robust and support decomposing lambdas
- Rewrite hotspots in C / Pyx instead of pure python mode
- Improvements to make the ParallelSolver competitive (experiments reveal the freethreading mode to be promising)
- Versioned documentation
Contact
-------
- `Floris-Jan Willemsen <https://github.com/fjwillemsen>`_ <fjwillemsen97@gmail.com> (current maintainer)
- `Sébastien Celles <https://github.com/s-celles/>`_ <s.celles@gmail.com> (former maintainer)
- `Gustavo Niemeyer <https://github.com/niemeyer/>`_ <gustavo@niemeyer.net> (initial developer)
But it's probably better to `open an issue <https://github.com/python-constraint/python-constraint/issues>`_.
.. |License| image:: https://img.shields.io/pypi/l/python-constraint2
:alt: PyPI - License
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:alt: Build Status
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:target: http://python-constraint.github.io/python-constraint/
:alt: Documentation Status
.. |Python Versions| image:: https://img.shields.io/pypi/pyversions/python-constraint2
:alt: PyPI - Python Versions
.. |Downloads| image:: https://img.shields.io/pypi/dm/python-constraint2
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:alt: Code Coverage
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"description": "|License| |Build Status| |Docs| |Python Versions| |Downloads| |Status| |Code Coverage|\n\n.. image:: https://github.com/python-constraint/python-constraint/raw/main/docs/assets/logo/N-Queens_problem_Python.svg\n :align: center\n :width: 50%\n\npython-constraint\n=================\n\n| This software is now back to active development / maintainance status.\n| IMPORTANT: the new version can be installed with `pip install python-constraint2`, as the original pip release will not be updated.\n| For an overview of recent changes, visit the `Changelog <https://github.com/python-constraint/python-constraint/blob/main/CHANGELOG.md>`_.\n| The complete documentation can be found `here <http://python-constraint.github.io/python-constraint/>`_.\n\n| New: writing constraints in the new string format is preferable over functions and lambdas. \n| These strings, even as compound statements, are automatically parsed to faster built-in constraints, are more concise, and do not require constraint solving familiarity by the user to be efficient.\n| For example, :code:`problem.addConstraint([\"50 <= x * y < 100\"])` is parsed to :code:`[MinProdConstraint(50, [\"x\", \"y\"]), MaxProdConstraint(100, [\"x\", \"y\"])]`. \n| Similarly, :code:`problem.addConstraint([\"x / y == z\"])` is parsed to :code:`[ExactProdConstraint(\"x\", [\"z\", \"y\"])]`.\n| This feature is in beta and subject to possible change, please provide feedback.\n\n.. contents::\n :local:\n :depth: 1\n\nIntroduction\n------------\nThe :code:`python-constraint` module offers efficient solvers for `Constraint Satisfaction Problems (CSPs) <https://en.wikipedia.org/wiki/Constraint_satisfaction_problem>`_ over finite domains in an accessible Python package.\nCSP is class of problems which may be represented in terms of variables (a, b, ...), domains (a in [1, 2, 3], ...), and constraints (a < b, ...).\n\nExamples\n--------\n\nBasics\n~~~~~~\n\nThis interactive Python session demonstrates basic operations:\n\n.. code-block:: python\n\n >>> from constraint import *\n >>> problem = Problem()\n >>> problem.addVariable(\"a\", [1,2,3])\n >>> problem.addVariable(\"b\", [4,5,6])\n >>> problem.getSolutions() # doctest: +NORMALIZE_WHITESPACE\n [{'a': 3, 'b': 6}, {'a': 3, 'b': 5}, {'a': 3, 'b': 4},\n {'a': 2, 'b': 6}, {'a': 2, 'b': 5}, {'a': 2, 'b': 4},\n {'a': 1, 'b': 6}, {'a': 1, 'b': 5}, {'a': 1, 'b': 4}]\n \n >>> problem.addConstraint(\"a*2 == b\") # string constraints are preferable over the black-box problem.addConstraint(lambda a, b: a*2 == b, (\"a\", \"b\"))\n >>> problem.getSolutions()\n [{'a': 3, 'b': 6}, {'a': 2, 'b': 4}]\n\n >>> problem = Problem()\n >>> problem.addVariables([\"a\", \"b\"], [1, 2, 3])\n >>> problem.addConstraint(AllDifferentConstraint())\n >>> problem.getSolutions() # doctest: +NORMALIZE_WHITESPACE\n [{'a': 3, 'b': 2}, {'a': 3, 'b': 1}, {'a': 2, 'b': 3},\n {'a': 2, 'b': 1}, {'a': 1, 'b': 2}, {'a': 1, 'b': 3}]\n\nRooks problem\n~~~~~~~~~~~~~\n\nThe following example solves the classical Eight Rooks problem:\n\n.. code-block:: python\n\n >>> problem = Problem()\n >>> numpieces = 8\n >>> cols = range(numpieces)\n >>> rows = range(numpieces)\n >>> problem.addVariables(cols, rows)\n >>> for col1 in cols:\n ... for col2 in cols:\n ... if col1 < col2:\n ... problem.addConstraint(lambda row1, row2: row1 != row2, (col1, col2))\n >>> solutions = problem.getSolutions()\n >>> solutions # doctest: +NORMALIZE_WHITESPACE +ELLIPSIS\n [{0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 1, 7: 0},\n {0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 2, 6: 0, 7: 1},\n {0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 1, 6: 2, 7: 0},\n {0: 7, 1: 6, 2: 5, 3: 4, 4: 3, 5: 1, 6: 0, 7: 2},\n ...\n {0: 7, 1: 5, 2: 3, 3: 6, 4: 2, 5: 1, 6: 4, 7: 0},\n {0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 2, 6: 0, 7: 4},\n {0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 2, 6: 4, 7: 0},\n {0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 4, 6: 2, 7: 0},\n {0: 7, 1: 5, 2: 3, 3: 6, 4: 1, 5: 4, 6: 0, 7: 2},\n ...]\n\n\nMagic squares\n~~~~~~~~~~~~~\n\nThis example solves a 4x4 magic square:\n\n.. code-block:: python\n\n >>> problem = Problem()\n >>> problem.addVariables(range(0, 16), range(1, 16 + 1))\n >>> problem.addConstraint(AllDifferentConstraint(), range(0, 16))\n >>> problem.addConstraint(ExactSumConstraint(34), [0, 5, 10, 15])\n >>> problem.addConstraint(ExactSumConstraint(34), [3, 6, 9, 12])\n >>> for row in range(4):\n ... problem.addConstraint(ExactSumConstraint(34), [row * 4 + i for i in range(4)])\n >>> for col in range(4):\n ... problem.addConstraint(ExactSumConstraint(34), [col + 4 * i for i in range(4)])\n >>> solutions = problem.getSolutions() # doctest: +SKIP\n\nFeatures\n--------\n\nThe following solvers are available:\n\n- :code:`OptimizedBacktrackingSolver` (default)\n- :code:`BacktrackingSolver`\n- :code:`RecursiveBacktrackingSolver`\n- :code:`MinConflictsSolver`\n- :code:`ParallelSolver`\n\n.. role:: python(code)\n :language: python\n\nPredefined constraint types currently available (use the parsing for automatic conversion to these types):\n\n- :code:`FunctionConstraint`\n- :code:`AllDifferentConstraint`\n- :code:`AllEqualConstraint`\n- :code:`ExactSumConstraint`\n- :code:`MinSumConstraint`\n- :code:`MaxSumConstraint`\n- :code:`MinProdConstraint`\n- :code:`ExactProdConstraint`\n- :code:`MaxProdConstraint`\n- :code:`VariableExactSumConstraint`\n- :code:`VariableMinSumConstraint`\n- :code:`VariableMaxSumConstraint`\n- :code:`VariableMinProdConstraint`\n- :code:`VariableExactProdConstraint`\n- :code:`VariableMaxProdConstraint`\n- :code:`InSetConstraint`\n- :code:`NotInSetConstraint`\n- :code:`SomeInSetConstraint`\n- :code:`SomeNotInSetConstraint`\n\nAPI documentation\n-----------------\nDocumentation for the module is available at: http://python-constraint.github.io/python-constraint/.\nIt can be built locally by running :code:`make clean html` from the `docs` folder.\nFor viewing RST files locally, `restview <https://pypi.org/project/restview/>`_ is recommended.\n\nDownload and install\n--------------------\n\n.. code-block:: shell\n\n $ pip install python-constraint2\n\nTesting\n-------\n\nRun :code:`nox` (tests for all supported Python versions in own virtual environment).\n\nTo test against your local Python version: make sure you have the development dependencies installed.\nRun :code:`pytest` (optionally add :code:`--no-cov` if you have the C-extensions enabled).\n\nContributing\n------------\n\nFeel free to contribute by `submitting pull requests <https://github.com/python-constraint/python-constraint/pulls>`_ or `opening issues <https://github.com/python-constraint/python-constraint/issues>`_.\nPlease refer to the `contribution guidelines <https://github.com/python-constraint/python-constraint/contribute>`_ before doing so.\n\nRoadmap\n-------\n\nThis GitHub organization and repository is a global effort to help to maintain :code:`python-constraint`, which was written by Gustavo Niemeyer and originaly located at https://labix.org/python-constraint.\nFor an overview of recent changes, visit the `Changelog <https://github.com/python-constraint/python-constraint/blob/main/CHANGELOG.md>`_.\n\nPlanned development:\n\n- Support constant modifiers on parsed (variable) constraints instead defaulting to `FunctionConstraint`, e.g. :code:`problem.addConstraint(\"a+2 == b\")` or :code:`problem.addConstraint(\"x / y == 100\")`\n- Parse using Abstract Syntax Trees (AST) instead of the current parser to be more robust and support decomposing lambdas\n- Rewrite hotspots in C / Pyx instead of pure python mode\n- Improvements to make the ParallelSolver competitive (experiments reveal the freethreading mode to be promising)\n- Versioned documentation\n\nContact\n-------\n- `Floris-Jan Willemsen <https://github.com/fjwillemsen>`_ <fjwillemsen97@gmail.com> (current maintainer)\n- `S\u00e9bastien Celles <https://github.com/s-celles/>`_ <s.celles@gmail.com> (former maintainer)\n- `Gustavo Niemeyer <https://github.com/niemeyer/>`_ <gustavo@niemeyer.net> (initial developer)\n\nBut it's probably better to `open an issue <https://github.com/python-constraint/python-constraint/issues>`_.\n\n.. |License| image:: https://img.shields.io/pypi/l/python-constraint2\n :alt: PyPI - License\n\n.. |Build Status| image:: https://github.com/python-constraint/python-constraint/actions/workflows/build-test-python-package.yml/badge.svg\n :target: https://github.com/python-constraint/python-constraint/actions/workflows/build-test-python-package.yml\n :alt: Build Status\n\n.. |Docs| image:: https://img.shields.io/github/actions/workflow/status/python-constraint/python-constraint/publish-documentation.yml?label=Docs\n :target: http://python-constraint.github.io/python-constraint/\n :alt: Documentation Status\n\n.. |Python Versions| image:: https://img.shields.io/pypi/pyversions/python-constraint2\n :alt: PyPI - Python Versions\n\n.. |Downloads| image:: https://img.shields.io/pypi/dm/python-constraint2\n :alt: PyPI - Downloads\n\n.. |Status| image:: https://img.shields.io/pypi/status/python-constraint2\n :alt: PyPI - Status\n\n.. |Code Coverage| image:: https://coveralls.io/repos/github/python-constraint/python-constraint/badge.svg\n :target: https://coveralls.io/github/python-constraint/python-constraint\n :alt: Code Coverage\n\n",
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