Matrix Library {small and Efficient}

Matrix-core is a small library for handling matrices , At its core it is made only from functions there is no object involved , So this gives more speed and less unnessary complexity and most importantly by combining it with a bundler like Webpack , ... which does Tree Shaking you can get only the functions you need not the entire jungle!

Installation

npm

> npm i matrix-core

In browser

Then add a <script> to your index.html:

<script src="/node_modules/matrix-core/dist/matrix-core.min.js"></script>

<!-- now you have access to Matrix obj -->

<!-- Example -->
<script>

 Matrix.add([1,2],[3,4]); // [4,6]
 
</script>

In Node

  const matrix = require('matrix-core');

  // or 

  const {add , mul , identity} = require('matrix-core');

If you want tree shaking:

const add = require('matrix-core/add');
const identity = require('matrix-core/identity');
const transpose = require('matrix-core/transpose');

If you want to get all the speed possible

every method in this library has a cousin with the same name following an Underscore. Functions with Underscores do not have any Error Handling Codes which makes them much much Faster than their counterparts , But make sure you pass valid matrices to them or you can use invalidityReasoner to check a matrix if it is valid or not and then pass that matrix to the function with underscore.

For example :

const add = require('matrix-core/add'); // with Error handling

// Or

const add = require('matrix-core/_add'); // this is way faster but without Error handling

A Short Explanation

every inner array = A row in matrix

every , = A column in matrix

For example :

let matrix = [[1,2,3]]; // a matrix with (1 row and 3 columns)

matrix = [1,2,3]; // this is the same as above (1 row and 3 columns)

matrix = [[1,2] , [3,4]]; // (2 rows and 2 columns)


matrix = [[1,2] , [3]] ; // Error : this matrix is not valid 
// Reason : (first row has 2 columns but second row has only 1 column)

Error Handling

you can use invalidityReasoner to ensure if a matrix is valid or not it returns a text message containing the reasons for invalidity or an empty string if it is valid.

or you can use isValid function to get a boolean true or false

Example:

const invalidityReasoner = require('matrix-core/invalidityReasoner');

const isValid = require('matrix-core/isValid');

const matrix = [1,[2]];

console.log(invalidityReasoner(matrix)); // logs : rows in matrix do not match

// or 


console.log(isValid(matrix));// logs : false

Methods

[ add ] [ sub ] [ scale ] [ mul ] [ transpose ] [ det ] [ div ] [ identity ] [ random ] [ stringify ] [ clone ] [ LU ] [ inv ] [ mergeR ] [ mergeL ] [ ones ] [ zeros ] [ columns ] [ column ] [ rows ] [ row ]

Note : inv,det,LU functions have [Not pure] tag this means that these function change their parameter(= matrix) for getting the most speed, These functions have a pure version which you can use instead : pInv,pDet,PLU

Add

const {add} = require('matrix-core');
// Or
const add = require('matrix-core/add');
// Or for fast speed
const add = require('matrix-core/_add');

const m1 = [[1,2]];
const m2 = [[3,4]];

const result = add(m1 , m2); // [[4 , 6]]

Sub

const {sub} = require('matrix-core');

const m1 = [1 , 2];
const m2 = [3 , 4];

const result = sub(m1 , m2); // [-2,-2]

Scale

const {scale} = require('matrix-core');

const matrix = [[1,2] , [3,4]];

const result = scale(m , 2); // [[2,4] ,[6,8]]

Mul

const {mul} = require('matrix-core');

const m1 = [[1, 2], [3, 4]];
const m2 = [[5, 6], [7, 8]];
const result = mul(m1, m2); // [[19, 22], [43, 50]]

Transpose

const {transpose} = require('matrix-core');

const matrix = [[1, 2], [3, 4]];

const result = transpose(m); // [[1 , 3], [2 , 4]]

Det

[Not pure]

const {det} = require('matrix-core');

const matrix = [[-1, 1, 1], [1, -2, 2], [1, -3, 3]];
const result = det(m); // result = -2

Div

const {div} = require('matrix-core');

const m1 = [[1 , 2]];
const m2 = [[2 ,2]];
const result = div(m1 , m2); // [[0.5 , 1]]

Identity

const {identity} = require('matrix-core');

const result = identity(3); 

/* 
result = 
[
  [1, 0, 0],
  [0, 1, 0],
  [0, 0, 1]
]

*/

Random

const {random} = require('matrix-core');

// returns a matrix 1 x 2 
// elements are between 1 and 0
const result = random(1,2);// returns [[0 <= x1 < 1,0 <= x2 < 1]]

const result = random(2);// returns 2 x 2 matrix

// you can provide a function to generate random numbers
const rand = (i , j) => 1
const result = random(1,2,rand);// returns [[1,1]]

Stringify

const {stringify} = require('matrix-core');

const matrix = [[1, 2],[3,4]];

const strRepr = stringify(m1);
// you can give the stringify function a precision as the second arg
// default is 2

console.log(strRepr);
/*
 __        __
| 1.00  2.00 |
| 3.00  4.00 |
|__........__|

*/

Clone

const {clone} = require('matrix-core');

const matrix = [[1, 2],[3,4]];

const result = clone(m); // [[1, 2], [3, 4]]

LU

It returns the Lower and Upper triangular of matrix.

[Not pure]

const {LU} = require('matrix-core');

const matrix = [
  [3, 1],
  [4, 2]
];

[lt, ut] = LU(m);

/*
 lt (or lower triangular) = [
   [1, 0],
   [1.3333333333333333, 1]
 ];

 ut (or upper triangular) = [
   [3, 1],
   [0, 0.6666666666666667]
 ];


 Note : if matrix has no LU form it returns
        lt = 0 , ut = 0
*/

Inv

[Not pure]

const {inv} = require('matrix-core');

const matrix = [[1, 2], [3, 4]];

let inv_m = inv(matrix); // [[-2, 1], [1.5, -0.5]];
 


const matrix1 = [[1, 4], [1, 4]]; // determinant = 0 --> so does not have an inverse

const result = inv(matrix1); // result = 0; means there is no inverse

MergeR

const {mergeR} = require('matrix-core');

const m1 = [[1, 2], [3, 4]];
const m2 = [[5, 5], [5, 5]];

const result = mergeR(m1, m2); 
/*
[
  [1, 2, 5, 5],
  [3, 4, 5, 5]
]
*/

MergeL

const {mergeL} = require('matrix-core');

const m1 = [[1, 2], [3, 4]];
const m2 = [[5, 5], [5, 5]];

const result = mergeL(m1, m2); 
/*
[
  [5, 5, 1, 2],
  [5, 5, 3, 4]
]
*/

Ones

const {ones} = require('matrix-core');

const result = ones(3);
/*
[
  [1, 1, 1],
  [1, 1, 1],
  [1, 1, 1]
]

*/

Zeros

const {zeros} = require('matrix-core');

const result = zeros(3);
/*
[
  [0, 0, 0],
  [0, 0, 0],
  [0, 0, 0]
]

*/

Columns

returns the number of columns

const {columns} = require('matrix-core');

// Or for tree shaking use bellow
// const {columns} = require('matrix-core/utils');


const matrix =[[1,2],[3,4]]

const result = columns(matrix) ; // 2

Column

returns the column sepcified

const {column} = require('matrix-core');

// Or for tree shaking use bellow
// const {column} = require('matrix-core/utils');


const matrix =[[1,2],[3,4]]

const result = column(matrix , 0) ; // [1,3]

Rows

returns the number of rows

const {rows} = require('matrix-core');

// Or for tree shaking use bellow
// const {rows} = require('matrix-core/utils');


const matrix =[[1,2],[3,4]]

const result = rows(matrix) ; // 2

Row

returns the row sepcified

const {row} = require('matrix-core');

// Or for tree shaking use bellow
// const {row} = require('matrix-core/utils');


const matrix =[[1,2],[3,4]]

const result = row(matrix , 0) ; // [1,2]

Feedback

Please send Bug Reports, Comments, or Questions to SC0d3r. Contributions and extensions with new algorithms are welcome.

License

The MIT License