segment-tree 0.2.2

The most comprehensive implementation of Segment Tree.

Segment Tree with range operations
==================================

.. figure:: https://img.shields.io/badge/license-MIT-blue.svg
:alt: LicenseLink

LicenseLink

This is a general implementation of a segment tree for Python 3.

- Semigroup range operations in O(logN) time
- Built-in support for ``max``, ``min``, ``sum`` functions
- Extensible to support more semigroup operations
- Only Python 3 for now

Example usage
=============

Basic queries
-------------

.. code:: python


array = [3, 1, 5, 3, 13, 7, 2, 7, 2]
tree = SegmentTree(array)

t.query(1, 3, "sum") # 9
t.update(0, 10) # [10, 1, 5, 3, 13, 7, 2, 7, 2]
t.query(0, 8, "min") # 0
t.update(2, -1) # [10, 1, -1, 3, 13, 7, 2, 0, 2]
t.query(0, 2, "min") # -1

Updates on ranges
-----------------

.. code:: python

array = [1, 2, 3, 4, 5]
t = SegmentTree(array)
t.update_range(0, 2, 6) # 6 6 6 4 5
t.update_range(1, 4, 2) # 6 2 2 2 2
t.query(0, 3, "min") # 2

Installation
============

``pip3 install segment-tree``

Supported operations and complexity
===================================

+---------+------------+--------------+----------+
| Functio | Descriptio | Complexity | Addition |
| n | n | | al |
| | | | storage |
+=========+============+==============+==========+
| ``Segme | Builds a | O(n log n) | O(n log |
| ntTree( | segment | | n) |
| array)` | tree from | | |
| ` | an | | |
| | ``array`` | | |
+---------+------------+--------------+----------+
| ``updat | Updates an | O(log n) | O(1) |
| e(posit | old value | | |
| ion, va | at | | |
| lue)`` | ``position | | |
| | `` | | |
| | to | | |
| | ``value`` | | |
+---------+------------+--------------+----------+
| ``updat | Sets | O(log n) | O(1) |
| e_range | ``value`` | | |
| (start, | on a | | |
| end, v | ``[start, | | |
| alue)`` | end]`` | | |
| | range | | |
+---------+------------+--------------+----------+
| ``query | Returns | O(log n) | O(1) |
| (start, | ``function | | |
| end, f | ([start, e | | |
| unction | nd])`` | | |
| )`` | | | |
+---------+------------+--------------+----------+

Tests
=====

Execute ``python3 setup.py test`` to run tests.