A fast and space efficient library to deal with data in Dart, Flutter and the web.

Related tags

Open Source Apps dart algorithm vector matrix tensor flutter
Overview

Dart Data

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Dart Data is a fast and space efficient library to deal with data in Dart, Flutter and the web. As of today this mostly includes data structures and algorithms for vectors and matrices, but at some point might also include graphs and other mathematical structures.

This library is open source, stable and well tested. Development happens on GitHub. Feel free to report issues or create a pull-request there. General questions are best asked on StackOverflow.

The package is hosted on dart packages. Up-to-date class documentation is created with every release.

Tutorial

Below are step-by-step instructions of how to use this library. More elaborate examples are included with the examples.

Installation

Follow the installation instructions on dart packages.

Import the core-package into your Dart code using:

import 'package:data/data.dart';

How to solve a linear equation?

Solve 'A * x = b', where 'A' is a matrix and 'b' a vector:

final a = Matrix<double>.fromRows(DataType.float64, [
  [2, 1, 1],
  [1, 3, 2],
  [1, 0, 0],
]);
final b = Vector<double>.fromList(DataType.float64, [4, 5, 6]);
final x = a.solve(b.columnMatrix).column(0);
print(x.format(valuePrinter: Printer.fixed()); // prints '6 15 -23'

How to find the eigenvalues of a matrix?

Find the eigenvalues of a matrix 'A':

final a = Matrix<double>.fromRows(DataType.float64, [
  [1, 0, 0, -1],
  [0, -1, 0, 0],
  [0, 0, 1, -1],
  [-1, 0, -1, 0],
]);
final decomposition = a.eigenvalue;
final eigenvalues = Vector<double>.fromList(
    DataType.float64, decomposition.realEigenvalues);
print(eigenvalues.format(valuePrinter: Printer.fixed(precision: 1))); // prints '-1.0 -1.0 1.0 2.0'

How to find all the roots of a polynomial?

To find the roots of x^5 + -8x^4 + -72x^3 + 242x^2 + 1847x + 2310:

final polynomial = Polynomial.fromCoefficients(DataType.int32, [1, -8, -72, 242, 1847, 2310]);
final roots = polynomial.roots;
print(roots.map((root) => root.real)); // [-5, -3, -2, 7, 11]
print(roots.map((root) => root.imaginary)); // [0, 0, 0, 0, 0]

Misc

License

The MIT License, see LICENSE.

The matrix decomposition algorithms are a direct port of the JAMA: A Java Matrix Package, that is released under public domain.

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Comments
  • How to find eigenvalues?

    How to find eigenvalues?

    Hi.

    I'm trying to get eigenvalues for a matrix. I do:

    var m = Matrix.builder.withType(DataType.float64).fromRows([
    [1, 0, 0, -1],
    [0, -1, 0, 0],
    [0, 0, 1, -1],
    [-1, 0, -1, 0]
  ]);
var e = eigenvalue(m);

    I inspect the object but I can't find the result (-1, 1, 2).

    Also, if I write DataType.numeric I get an exception... why?

    Thanks for helping

    question 
    opened by Rubenxx00 1
  • Release the tutorial

    Release the tutorial

    Hi. This lib looks good but it is not easy to start with. For people like me that are not great at maths and like to work with data in Dart it would be great to have a tutorial explaining the features with more details and examples. This way I could figure out what some mysterious and interesting things I found in the api doc are for, like "Interpolates linearly between sourceA and sourceA with a factor t"

    enhancement help wanted 
    opened by synw 0
Owner
Lukas Renggli
Dart, Java, JavaScript, Python, Smalltalk, TypeScript
Lukas Renggli
GitHub
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