friendly-matrix

v1.0.7

Published

a year ago

A friendly matrix library for JavaScript/Typescript

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matrix math linear algebra linear algebra friendly friendly-matrix friendly matrix

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Friendly-matrix is a JavaScript library that provides a user-friendly interface for matrix manipulation. It simplifies various matrix operations, offering flexibility and ease of use for developers working with matrices in JS/TS projects.

=> For better visibility, details, docs, readMe and the complete API documentation can be found here ! 😎

Requirements

This project was developed under Node.js 20.9.0 LTS, and we strongly recommend using it.

plot

Compatible with JS and TS, this module imports type declarations.

For more information on the use of TypeScript with Node.js, please refer to the official documentation.

⚠️ This module is compatible with CommonJS and ECMAScript formats.

For use with vanilla JavaScript (pure JS), no modifications are required.

If you wish to force the use of import and export declarations (ECMAScript), you have two options:

Rename your files from .js to .mjs.
Add the key "type": "module" to your package.json file.

When using frameworks such as React, the ECMAScript format is generally expected by default. So no further action is required.

Motivations

The motivation behind the creation of Friendly-matrix is to provide a simple and flexible library for manipulating matrices in JS/TS. This library has been designed to offer developers a user-friendly and versatile solution for working with matrix operations in a variety of development contexts.

Matrix operations are commonly used in fields such as machine learning, image processing, simulation, video games and more. However, matrix manipulation can be complex and tedious without the right tools. That's why Friendly-matrix aims to simplify these operations by providing an intuitive interface and robust functionality for matrix creation, manipulation and analysis.

This library has been created with the aim of giving developers easy access to basic matrix manipulation functionality, while offering them the possibility of extending this functionality according to their specific needs.

Contributing

Contributions are welcome! To contribute to Friendly-matrix, follow these steps:

Fork the project
Create a branch (git checkout -b feature/AmazingFeature)
Commit your changes (git commit -m 'Add some AmazingFeature')
Push the branch (git push origin feature/AmazingFeature)
Open a Pull Request

Please also read the Contribution Guide for detailed information on the contribution process, coding style, etc.

We welcome all kinds of contributions, from bug fixes to new features, and greatly appreciate your efforts to enhance this project.

Features

Matrix Operations
Matrix Comparison
Matrix Order Manipulation
Matrix Transformation
Additional Matrix Operations
Accessing Matrix Elements
In Place Operations

For detailed usage and API documentation, refer to API Section.

Installation

You can install Friendly-matrix:

Using NPM

npm i friendly-matrix

Using Yarn

⚠️ The Plug'n'Play feature of Yarn is not supported by this module.

If the mode is activated (The node modules are not installed in the node_modules folder), the module will not work.

If you want to use it, you'll need to add the following line to a .yarnrc.yml file located at the root of the project

nodeLinker: node-modules

then,

yarn add friendly-matrix

Using PNPM

Yes ! You can use PNPM with this module ! 😎

The compatibility is ensured.

pnpm add friendly-matrix

Basic Usage

// Import required functions and classes
import { Matrix, fm_identity, FM_ORDER, fm_usage } from 'friendly-matrix';
//OR
import your_name from 'friendly-matrix';
your_name.fm_identity(4);

// Example usage of the FriendlyMatrix class

// Create a matrix instance
const matrix = new Matrix({
    rows: 3,
    cols: 3,
    ORDER: FM_ORDER.RowMajor,
    matrix: [1, 2, 3, 4, 5, 6, 7, 8, 9]
});

// Get matrix details
console.log('Rows:', matrix.getRows()); // Output: Rows: 3
console.log('Columns:', matrix.getCols()); // Output: Columns: 3
console.log('Size:', matrix.getSize()); // Output: Size: 9
console.log('Order:', matrix.getOrder()); // Output: Order: RowMajor

// Transpose the matrix
const transposedMatrix = matrix.transpose();
console.log('Transposed Matrix:', transposedMatrix.getMatrix()); // Output: Transposed Matrix: [1, 4, 7, 2, 5, 8, 3, 6, 9]

// Add another matrix
const anotherMatrix = new Matrix({
    rows: 3,
    cols: 3,
    ORDER: FM_ORDER.RowMajor,
    matrix: [9, 8, 7, 6, 5, 4, 3, 2, 1]
});

const addedMatrix = matrix.addition(anotherMatrix);
console.log('Added Matrix:', addedMatrix.getMatrix()); // Output: Added Matrix: [10, 10, 10, 10, 10, 10, 10, 10, 10]

// Scale the matrix
const scaledMatrix = matrix.scale(2, '+');
console.log('Scaled Matrix:', scaledMatrix.getMatrix()); // Output: Scaled Matrix: [2, 4, 6, 8, 10, 12, 14, 16, 18]

// Check matrix equality
console.log('Matrix Equality:', matrix.equals(scaledMatrix)); // Output: Matrix Equality: false

// Get a specific value from the matrix
console.log('Value at (2, 2):', matrix.get(1, 1)); // Output: Value at (2, 2): 5

// Set a value in the matrix
matrix.set(1, 1, 10);
console.log('Updated Matrix:', matrix.getMatrix()); // Output: Updated Matrix: [1, 2, 3, 4, 10, 6, 7, 8, 9]

// Generate an identity matrix
const identityMatrix = identity(4);
console.log('Identity Matrix:', identityMatrix.getMatrix()); // Output: Identity Matrix: [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]

const multipliedMatrix = matrix.multiplication(anotherMatrix);
console.log('Multiplied Matrix:', multipliedMatrix.getMatrix()); // Output: Multiplied Matrix: [2, 4, 6, 8, 10, 12, 14, 16, 18]

// Raise matrix to a given exponent
const squaredMatrix = matrix.pow(2);
console.log('Squared Matrix:', squaredMatrix.getMatrix()); // Output: Squared Matrix: [30, 36, 42, 66, 81, 96, 102, 126, 150]

// Update matrix array
const updatedMatrixArray = [3, 6, 9, 2, 5, 8, 1, 4, 7];
matrix.updateMatrix(updatedMatrixArray);
console.log('Updated Matrix:', matrix.getMatrix()); // Output: Updated Matrix: [3, 6, 9, 2, 5, 8, 1, 4, 7]

// Update matrix order
matrix.updateOrder(FM_ORDER.ColumnMajor);
console.log('Updated Order:', matrix.getOrder()); // Output: Updated Order: ColumnMajor

// In-place scaling
matrix.scaleInPlace(2, '+');
console.log('Scaled Matrix:', matrix.getMatrix()); // Output: Scaled Matrix: [3, 6, 9, 6, 7, 10, 9, 8, 11]

//Other operations...

API

Simply modules

Matrix Class

The Matrix class is a representation of a matrix (a one-dimensional array of numbers) that offers various functionalities for performing operations on these matrices.

It has a constructor that takes several parameters:

rows: the number of rows in the matrix.
cols: the number of columns in the matrix.
ORDER : the order of the matrix, either "RowMajor" or "ColumnMajor".
matrix : an array of numbers representing the matrix.

If the parameters supplied to the constructor are invalid, an error will be generated.

The Matrix class also contains a size property, which is calculated as a function of row and column. It provides methods for performing various operations on matrices, such as transposition, addition, subtraction, multiplication, scaling, matrix inversion, and many more. These methods can be used to manipulate and perform calculations on matrices efficiently.

These parameters represent a config (so it's possible to import from a config.(js|ts) file, in the form of an object.

const matrix = new Matrix({
    rows: 3,
    cols: 3,
    ORDER: FM_ORDER.RowMajor,
    matrix: [1, 2, 3, 4, 5, 6, 7, 8, 9]
});

What's the order of the matrix ?

FM_ORDER is an enumeration used to represent the order of a matrix in the Matrix class. This enumeration offers two constants:

RowMajor: This constant represents the storage order of the matrix where elements are ordered successively by rows.
ColumnMajor: This constant represents the storage order of the matrix, where elements are arranged successively by column.

The use of this enumeration makes it possible to specify the organization of data in a matrix when creating or manipulating it in the Matrix class. It provides a clear and explicit way of defining the order of matrix elements for operations such as matrix creation, initialization or manipulation.

const ORDER = {
    RowMajor: 'RowMajor',
    ColumnMajor: 'ColumnMajor',
};

These values are displayed through FM_ORDER:

import { FM_ORDER } from 'friendly-matrix';

For example:

// RowMajor
const rowMajorMatrix = new FriendlyMatrix({
    rows: 2,
    cols: 2,
    ORDER: FM_ORDER.RowMajor,
    matrix: [1, 2, 3, 4]
});
// rowMajorMatrix.trace()
        | 1  2 |
        | 3  4 |


// ColumnMajor
const colMajorMatrix = new FriendlyMatrix({
    rows: 2,
    cols: 2,
    ORDER: FM_ORDER.ColumnMajor,
    matrix: [1, 2, 3, 4]
});
// columnMajorMatrix.trace()
        | 1  3 |
        | 2  4 |

Identity Matrix

The fm_identity function is used to generate an identity matrix of the given size. It takes a single parameter, size, which is the size of the identity matrix to be generated.

const identityMatrix = fm_identity(4);

Usage

The fm_usage function is used to display a string describing the usage of the Matrix class. It takes no parameters and returns a string describing the usage of the Matrix class.

const usage = fm_usage();

NOTE

For the trace() method, the matrix is displayed in the console, the output is formatted string (with \n)

So it's up to you to adapt the reading of this string to your own framework and so on.

For example, use <pre> tag in HTML.

Advanced API

For better visibility, the complete API documentation can be found here ! 😎

Classes

Matrix

Class: Matrix

Class representing a friendly matrix with various operations.

Constructors

constructor

Properties

Methods

Constructors

constructor

• new Matrix(config): Matrix

Constructor for the FriendlyMatrix class.

Parameters

| Name | Type | Description | |:----------------| :------ | :------ | | config | Object | Constructor parameters. | | config.ORDER | string | The order of the matrix. | | config.cols | number | The number of columns. | | config.matrix | number[] | Array of numbers representing the matrix. | | config.rows | number | The number of rows. |

Returns

Matrix

Properties

ORDER

• ORDER: string

cols

• cols: number

matrix

• matrix: number[]

rows

• rows: number_

size

• size: number

Methods

addition

▸ addition(other): Matrix

Add another matrix to this matrix and return a new matrix.

Parameters

Returns

Matrix

The resulting matrix.

Throws

Will throw an error if matrix dimensions or ordering do not match.

additionInPlace

▸ additionInPlace(other): void

Add another matrix to this matrix in place.

Parameters

Returns

void

Throws

Will throw an error if matrix dimensions or ordering do not match.

assign

▸ assign(other): void

Assign this matrix to another matrix.

Parameters

| Name | Type | | :------ | :------ | | other | any |

Returns

void

convertToOpposedOrder

▸ convertToOpposedOrder(): Matrix

Convert this matrix order to the opposed order and return a new matrix (with new matrix array).

Returns

Matrix

convertToOpposedOrderInPlace

▸ convertToOpposedOrderInPlace(): void

Convert this matrix order to the opposed order in place (with new matrix array).

Returns

void

copy

▸ copy(): Matrix

Copy this matrix and return a new matrix.

Returns

Matrix

equals

▸ equals(other): boolean

Check if this matrix is equal to another matrix.

Parameters

Returns

boolean

True if matrices are equal, false otherwise.

get

▸ get(row, col): number

Get the value at the specified row and column.

Parameters

| Name | Type | Description | | :------ | :------ | :------ | | row | number | The row index. | | col | number | The column index. |

Returns

number

The value at the specified position.

getCols

▸ getCols(): number

Returns

number

Defined in

getConvertedMatrix

▸ getConvertedMatrix(): number[]

Convert this matrix ORDER to the opposed ORDER and return the matrix array (No modified or created object matrix).

Returns

number[]

getMatrix

▸ getMatrix(): number[]

Returns

number[]

getOrder

▸ getOrder(): string

Returns

string

getRows

▸ getRows(): number

Returns

number

getSize

▸ getSize(): number

Returns

number

inverseColsRows

▸ inverseColsRows(): Matrix

Inverse the rows and columns of this matrix.

Returns

Matrix

multiplication

▸ multiplication(other): Matrix

Multiply this matrix by another matrix and return a new matrix.

Parameters

Returns

Matrix

The resulting matrix.

Throws

Will throw an error if matrix dimensions do not match.

multiplicationInPlace

▸ multiplicationInPlace(other): void

Multiply this matrix by another matrix in place.

Parameters

Returns

void

Throws

Will throw an error if matrix dimensions do not match.

pow

▸ pow(exponent): Matrix

Raise this matrix to a given exponent and return a new matrix.

Parameters

Returns

Matrix

The resulting matrix.

Throws

Will throw an error if the matrix is not square or the exponent is negative.

powInPlace

▸ powInPlace(exponent): void

Raise this matrix to a given exponent in place.

Parameters

Returns

void

Throws

Will throw an error if the matrix is not square or the exponent is negative.

scale

▸ scale(scalar, operator): Matrix

Scale this matrix by a scalar value and operator type and return a new matrix. Operator available: +, -, *, /, %, ^, sqrt

Parameters

| Name | Type | Description | | :------ | :------ | :------ | | scalar | number | The scalar value to scale by. | | operator | "+" | "-" | "*" | "/" | "%" | "^" | "sqrt" | |

Returns

Matrix

The resulting matrix.

scaleInPlace

▸ scaleInPlace(scalar, operator): void

Scale this matrix by a scalar value and operator type and return a new matrix. Operator available: +, -, *, /, %, ^, sqrt

Parameters

| Name | Type | Description | | :------ | :------ | :------ | | scalar | number | The scalar value to scale by. | | operator | "+" | "-" | "*" | "/" | "%" | "^" | "sqrt" | |

Returns

void

set

▸ set(row, col, value): void

Set the value at the specified row and column.

Parameters

Returns

void

subtraction

▸ subtraction(other): Matrix

Subtract another matrix from this matrix and return a new matrix.

Parameters

Returns

Matrix

The resulting matrix.

Throws

Will throw an error if matrix dimensions or ordering do not match.

subtractionInPlace

▸ subtractionInPlace(other): void

Subtract another matrix from this matrix in place.

Parameters

Returns

void

Throws

Will throw an error if matrix dimensions or ordering do not match.

trace

▸ trace(): string

Print the matrix to the console.

Returns

string

transpose

▸ transpose(): Matrix

Transposes the matrix.

Returns

Matrix

New transposed matrix.

transposeInPlace

▸ transposeInPlace(): void

Transposes the matrix in place.

Returns

void

updateMatrix

▸ updateMatrix(matrix): void

Update the matrix array of this matrix.

Parameters

| Name | Type | | :------ | :------ | | matrix | any |

Returns

void

updateOrder

▸ updateOrder(order): void

Update the ORDER of this matrix.

Parameters

| Name | Type | | :------ | :------ | | order | any |

Returns

void

License

Some non-copyrighted files are available under CC0 1.0 Universal.

Published

Vulnerabilities

Links

Maintainers

Keywords

Readme

Contents

Requirements

Motivations

Contributing

Features

Installation

Using NPM

Using Yarn

Using PNPM

Basic Usage

API

Simply modules

Matrix Class

Identity Matrix

Usage

Advanced API

Classes

Matrix

Class: Matrix

Table of contents

Constructors

Properties

Methods

Constructors

constructor

Parameters

Returns

Properties

ORDER

cols

matrix

rows

size

Methods

addition

Parameters

Returns

additionInPlace

Parameters

Returns

assign

Parameters

Returns

convertToOpposedOrder

Returns

convertToOpposedOrderInPlace

Returns

copy

Returns

equals

Parameters

Returns

get

Parameters

Returns

getCols

Returns

Defined in

getConvertedMatrix

Returns

getMatrix

Returns

getOrder

Returns

getRows

Returns

getSize

Returns

inverseColsRows

Returns

multiplication

Parameters

Returns

multiplicationInPlace