mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
bfcb95b297
* fixup! Format Python code with psf/black push * Create codespell.yml * fixup! Format Python code with psf/black push
76 lines
2.7 KiB
Markdown
76 lines
2.7 KiB
Markdown
# Linear algebra library for Python
|
|
|
|
This module contains classes and functions for doing linear algebra.
|
|
|
|
---
|
|
|
|
## Overview
|
|
|
|
### class Vector
|
|
-
|
|
- This class represents a vector of arbitrary size and related operations.
|
|
|
|
**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
|
|
- determinate() : returns the determinate of the matrix if it is square
|
|
- 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
|
|
|
|
This module uses docstrings to enable the use of Python's in-built `help(...)` function.
|
|
For instance, try `help(Vector)`, `help(unitBasisVector)`, and `help(CLASSNAME.METHODNAME)`.
|
|
|
|
---
|
|
|
|
## Usage
|
|
|
|
Import the module `lib.py` from the **src** directory into your project.
|
|
Alternatively, you can directly use the Python bytecode file `lib.pyc`.
|
|
|
|
---
|
|
|
|
## Tests
|
|
|
|
`src/tests.py` contains Python unit tests which can be run with `python3 -m unittest -v`.
|