mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
79 lines
3.0 KiB
Markdown
79 lines
3.0 KiB
Markdown
# Linear algebra library for Python
|
|
|
|
This module contains some useful classes and functions for dealing with linear algebra in python 2.
|
|
|
|
---
|
|
|
|
## Overview
|
|
|
|
### class Vector
|
|
-
|
|
- This class represents a vector of arbitray size and operations on it.
|
|
|
|
**Overview about the methods:**
|
|
|
|
- constructor(components : list) : init the vector
|
|
- set(components : list) : changes the vector components.
|
|
- \_\_str\_\_() : toString method
|
|
- component(i : int): gets the i-th component (start by 0)
|
|
- \_\_len\_\_() : gets the size / length of the vector (number of components)
|
|
- euclidLength() : returns the eulidean length of the vector.
|
|
- operator + : vector addition
|
|
- operator - : vector subtraction
|
|
- operator * : scalar multiplication and dot product
|
|
- copy() : copies this vector and returns it.
|
|
- changeComponent(pos,value) : changes the specified component.
|
|
|
|
- function zeroVector(dimension)
|
|
- returns a zero vector of 'dimension'
|
|
- function unitBasisVector(dimension,pos)
|
|
- returns a unit basis vector with a One at index 'pos' (indexing at 0)
|
|
- function axpy(scalar,vector1,vector2)
|
|
- computes the axpy operation
|
|
- function randomVector(N,a,b)
|
|
- returns a random vector of size N, with random integer components between 'a' and 'b'.
|
|
|
|
### class Matrix
|
|
-
|
|
- This class represents a matrix of arbitrary size and operations on it.
|
|
|
|
**Overview about the methods:**
|
|
|
|
- \_\_str\_\_() : returns a string representation
|
|
- operator * : implements the matrix vector multiplication
|
|
implements the matrix-scalar multiplication.
|
|
- changeComponent(x,y,value) : changes the specified component.
|
|
- component(x,y) : returns the specified component.
|
|
- width() : returns the width of the matrix
|
|
- height() : returns the height of the matrix
|
|
- operator + : implements the matrix-addition.
|
|
- operator - _ implements the matrix-subtraction
|
|
|
|
- function squareZeroMatrix(N)
|
|
- returns a square zero-matrix of dimension NxN
|
|
- function randomMatrix(W,H,a,b)
|
|
- returns a random matrix WxH with integer components between 'a' and 'b'
|
|
---
|
|
|
|
## Documentation
|
|
|
|
The module is well documented. You can use the python in-built ```help(...)``` function.
|
|
For instance: ```help(Vector)``` gives you all information about the Vector-class.
|
|
Or ```help(unitBasisVector)``` gives you all information you needed about the
|
|
global function ```unitBasisVector(...)```. If you need informations about a certain
|
|
method you type ```help(CLASSNAME.METHODNAME)```.
|
|
|
|
---
|
|
|
|
## Usage
|
|
|
|
You will find the module in the **src** directory its called ```lib.py```. You need to
|
|
import this module in your project. Alternative you can also use the file ```lib.pyc``` in python-bytecode.
|
|
|
|
---
|
|
|
|
## Tests
|
|
|
|
In the **src** directory you also find the test-suite, its called ```tests.py```.
|
|
The test-suite uses the built-in python-test-framework **unittest**.
|