linalg 0.3.2
linalg #
A Simple Linear Algebra Package.
This package is intended to be a portable, easy to use linear algebra package. The library does not have any dependencies outside of Dart itself, thus making it portable and easy to integrate. Internally all numbers are stored as Dart Doubles ( 64 bit as specified in the IEEE 754 standard ).
Our goal is to keep the code readable, documented and maintainable.
Short Example #
Just a quick example on how to do matrix multiplication.
final Matrix a = Matrix([[1, 2], [3, 4]]);
final Vector b = Vector.column([2, 3]);
final Matrix e = Matrix([[8], [18]]);
Matrix result = a * b;
print(result);
print(result == e);
This prints
[[8.0], [18.0]]
true
Complete Example #
A more extensive example with various matrix operations. See the Matrix API and Vector API for the full details.
import 'package:linalg/linalg.dart';
void example() {
// *****************************
// Lets solve a linear equation.
// *****************************
//
// A * B = E
//
// We have B and E, we have to find A.
//
// A * B * B' = E * B'
//
// Were B' = inverse of B.
//
// A * I = E * B'
//
// Where I = identity matrix
//
// A = E * B'
final Matrix B = Matrix([[2, 0], [1, 2]]);
final Matrix E = Matrix([[4, 4], [10, 8]]);
Matrix Bi = B.inverse();
Matrix A_calc = E * Bi;
final Matrix A = Matrix([[1, 2], [3, 4]]);
print("The calculated A_calc = $A_calc, the expected A is $A, they are ${A_calc==A?'':'not'} the same.");
// Expected: The calculated A = [[1.0, 2.0], [3.0, 4.0]], the expected A is [[1.0, 2.0], [3.0, 4.0]], they are the same.
// *****************************
// Lets do some more matrix math
// *****************************
//
// Next let multiply Matrix A by 3.
Matrix Am = A * 3.0;
print(Am);
// Expecting: [[3.0, 6.0], [9.0, 12.0]]
// Now add matrix B to A
Matrix AmPlusB = Am + B;
print(AmPlusB);
// Expecting: [[5.0, 6.0], [10.0, 14.0]]
// What is the determinant of the A matrix?
print("The determinant of A = ${A.det()}");
// Expecting The determinant of A = 2.0
}
Installation #
Add linalg as a dependency to your flutter project.
dependencies:
linalg: ^0.3.2
and at the top of your dart file add:
import 'package:linalg/linalg.dart';
Attribution #
Original code came from: https://pub.dartlang.org/packages/toaster_linear
We ended up rewriting considerable parts of the code and adding tests and documentation.
[0.3.2]  5/9/2019
 Updated Coverage collection to work with recent dart builds.
[0.3.1]  12/24/2018
 Fixed Vector.toList and Vector.toMatrix to return deepCopies by default. Added optional parameters to return references where possible for optimization use.
[0.3.0]  12/24/2018
 Added matrix.columnVector, Matrix.rowVector and Matrix.copy
 Changed toVector to create a deep copy by default, but allowed it to reuse Matrix storage for performance.
[0.2.0]  12/15/2018
 Added Vector.sum, Vector.mean, Vector.norm, Vector.manhattanNorm and Vector.toList with tests and docs.
 Deprecated Vector.distance for the better name Vector.norm.
[0.1.1]  11/27/2018
 Documentation updates
 Added Matrix.trace, Vector.crossProduct and Vector.dotProduct
[0.1.0]  11/26/2018
 Slight documentation modifications.
[0.0.6]  11/26/2018
 Added Vector class.
[0.0.5]  11/21/2018
 Dart minimum back to 2.0.0 fixed linter errors.
[0.0.4]  11/21/2018
 Increased Dart minimum to 2.1.0 to allow int to double assignments.
[0.0.3]  11/21/2018
 Removed flutter dependency
[0.0.2]  11/21/2018
 Added examples
 Added Travis CI
 Improved readme
[0.0.1]  11/21/2018.
 Initial release
import 'package:linalg/linalg.dart';
void readMeExample() {
final Matrix a = Matrix([
[1, 2],
[3, 4]
]);
final Vector b = Vector.column([2, 3]);
final Matrix e = Matrix([
[8],
[18]
]);
Matrix result = a * b;
print(result);
print(result == e);
}
/// Example code for using the Matrix class.
void main() {
readMeExample();
// *****************************
// Lets solve a linear equation.
// *****************************
//
// A * B = E
//
// We have B and E, we have to find A.
//
// A * B * B' = E * B'
//
// Were B' = inverse of B.
//
// A * I = E * B'
//
// Where I = identity matrix
//
// A = E * B'
final Matrix B = Matrix([
[2.0, 0.0],
[1.0, 2.0]
]);
final Matrix E = Matrix([
[4.0, 4.0],
[10.0, 8.0]
]);
Matrix Bi = B.inverse();
Matrix A_calc = E * Bi;
final Matrix A = Matrix([
[1.0, 2.0],
[3.0, 4.0]
]);
print(
"The calculated A = $A_calc, the expected A is $A, they are ${A_calc == A ? '' : 'not'} the same.");
// Expected: The calculated A = [[1.0, 2.0], [3.0, 4.0]], the expected A is [[1.0, 2.0], [3.0, 4.0]], they are the same.
// *****************************
// Lets do some more matrix math
// *****************************
//
// Next let multiply Matrix A by 3.
Matrix Am = A * 3.0;
print(Am);
// Expecting: [[3.0, 6.0], [9.0, 12.0]]
// Now add matrix B to A
Matrix AmPlusB = Am + B;
print(AmPlusB);
// Expecting: [[5.0, 6.0], [10.0, 14.0]]
// What is the determinant of the A matrix?
print("The determinant of A = ${A.det()}");
// Expecting The determinant of A = 2.0
}
Use this package as a library
1. Depend on it
Add this to your package's pubspec.yaml file:
dependencies:
linalg: ^0.3.2
2. Install it
You can install packages from the command line:
with pub:
$ pub get
with Flutter:
$ flutter pub get
Alternatively, your editor might support pub get
or flutter pub get
.
Check the docs for your editor to learn more.
3. Import it
Now in your Dart code, you can use:
import 'package:linalg/linalg.dart';
Popularity:
Describes how popular the package is relative to other packages.
[more]

60

Health:
Code health derived from static analysis.
[more]

94

Maintenance:
Reflects how tidy and uptodate the package is.
[more]

100

Overall:
Weighted score of the above.
[more]

78

We analyzed this package on Dec 11, 2019, and provided a score, details, and suggestions below. Analysis was completed with status completed using:
 Dart: 2.6.1
 pana: 0.13.1+4
Health suggestions
Fix lib/matrix.dart
. (5.36 points)
Analysis of lib/matrix.dart
reported 11 hints, including:
line 151 col 7: DO use curly braces for all flow control structures.
line 159 col 7: DO use curly braces for all flow control structures.
line 159 col 13: Unnecessary new keyword.
line 160 col 23: Unnecessary new keyword.
line 174 col 7: DO use curly braces for all flow control structures.
Fix lib/vector.dart
. (0.50 points)
Analysis of lib/vector.dart
reported 1 hint:
line 352 col 23: Unnecessary new keyword.
Dependencies
Package  Constraint  Resolved  Available 

Direct dependencies  
Dart SDK  >=2.0.0 <3.0.0  
Dev dependencies  
coverage  ^0.12.3  
grinder  ^0.8.3  
grinder_coveralls  ^0.2.0  
test  ^1.5.0 