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Traits (Mixins) to give +,/,-,* to MutableMapping

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* Source : https://github.com/jul/archery
* Tickets : https://github.com/jul/archery/issues?state=open
* Latest documentation : http://archery.readthedocs.org/en/latest/index.html

What is archery?
================

It is set of Mixins to use on MutableMapping giving the following features :

- Linear Algebrae;
- Vector like metrics;
- Searchable behaviour;

for convenience 3 concrete classes are provided :

- `mdict`_ (dict that follow the rules of linear algebrae based on dict);
- `vdict`_ (dict that have cos, abs, dot product);
- `sdict`_ (dict that are easily searchable);


Basic Usage
===========

Using the ready to use class derived from dict

mdict
*****

**dict that supports consistently all the linear algebrae properties**

Basically : dict that are vectors on arbitrary basis (recursively).

To learn more about its use and implementation:

- `Video presentation in FOSDEM 2017 <https://www.youtube.com/watch?v=Rd6rY5zNcGM>`_
- `or look at the presentation <http://jul.github.io/cv/pres.html#printable>`_

ex::

>>> from archery import mdict
>>> point = mdict(x=1, y=1, z=1)
>>> point2 = mdict(x=1, y=-1)
>>> print( (2 * point + point2)/4)
>>> # OUT : {'y': 0.25, 'x': 0.75, 'z': 0.5}
>>> print(point - point2)
>>> # OUT : {'y': 2, 'x': 0, 'z': 1}
>>> b=mdict(x=2, z=-1)
>>> a=mdict(x=1, y=2.0)
>>> a+b
>>> # OUT: {'y': 2.0, 'x': 3, 'z': -1}
>>> b-a
>>> # OUT: {'y': -2.0, 'x': 1, 'z': -1}
>>> -(a-b)
>>> # OUT: {'y': -2.0, 'x': 1, 'z': -1}
>>> a+1
>>> # OUT: {'y': 3.0, 'x': 2}
>>> -1-a
>>> # OUT: {'y': -3.0, 'x': -2}
>>> a*b
>>> # OUT: {'x': 2}
>>> a/b
>>> # OUT: {'x': 0}
>>> 1.0*a/b
>>> # OUT: {'x': 0.5}

vdict
*****


dict that defines *abs()*, *dot()*, *cos()* in the euclidean meaning

ex::

>>> from archery import vdict as Point
>>>
>>> u = Point(x=1, y=1)
>>> v = Point(x=1, y=0)
>>> u.cos(v)
>>> 0.7071067811865475
>>> u.dot(v)
>>> # OUT: 1
>>> u.cos(2*v)
>>> # OUT: 0.7071067811865475
>>> u.dot(2*v)
>>> #OUT: 2
>>> abs(u)
>>> #OUT: 1.4142135623730951
>>> u3 = Point(x=1, y=1, z=2)
>>> u4 = Point(x=1, y=3, z=4)
>>> u3 + u4
>>> #OUT: dict(x=2, y=4, z=6)
>>> assert u4 + u4 == 2*u4
>>> from archery import vdict
>>> from math import acos, pi
>>> point = vdict(x=1, y=1, z=1)
>>> point2 = vdict(x=1, y=-1)
>>> point2 = mdict(x=1, y=-1)
>>> print( (2 * point + point2)/4)
>>> # OUT : {'y': 0.25, 'x': 0.75, 'z': 0.5}
>>> print(acos(vdict(x=1,y=0).cos(vdict(x=1, y=1)))*360/2/pi)
>>> # OUT : 45.0
>>> print(abs(vdict(x=1, y=1)))
>>> # OUT : 1.41421356237
>>> print(vdict(x=1,y=0,z=3).dot(vdict(x=1, y=1, z=-1)))
>>> #OUT -2


sdict
*****

dict made for searching value/keys/`Path`_ with special interests.

Basically, it returns an interator in the form of a tuple being all the keys and the value.
It is a neat trick, if you combine it with `make_from_path`_, it helps select exactly what you want in a dict::


>>> from archery import sdict, make_from_path
>>> tree = sdict(
... a = 1,
... b = dict(
... c = 3.0,
... d = dict(e=True)
... ),
... point = dict( x=1, y=1, z=0),
... )
>>> list(tree.leaf_search(lambda x: type(x) is float ))
>>> #Out: [3.0]
>>> res = list(tree.search(lambda x: ("point") in x ))
>>> ## equivalent to list(tree.search(lambda x: Path(x).contains("point")))
>>> print(res)
>>> #Out: [('point', 'y', 1), ('point', 'x', 1), ('point', 'z', 0)]
>>> make_from_path(dict(), res)
>>> # {('point', 'y', 1): {('point', 'x', 1): ('point', 'z', 0)}}


Advanced usage
==============

This library is a proof of the consistent use of Mixins on `MutableMapping <https://docs.python.org/3.7/library/collections.abc.html?highlight=mutablemapping#collections.abc.MutableMapping>`_ gives the property seen in the basic usage.


The Mixins do not require any specifics regarding the implementation and **should** work if I did my job properly with
any kinds of *MutableMapping*.

Here is an example of a cosine similarities out of the box on the *Collections.Counter* ::

>>> from collections import Counter
>>> from archery import VectorDict
>>> class CWCos(VectorDict, Counter):
... pass
>>>
>>> CWCos(["mot", "wut", "wut", "bla"]).cos(CWCos(["mot","wut", "bla"]))
>>> # OUT: 0.942809041582

You can also inherit LinearAlgebrae


Resource
********

Ticketing: https://github.com/jul/archery/issues?state=open
Source: https://github.com/jul/archery
Latest documentation: http://archery.readthedocs.org/en/latest/index.html

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