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https://github.com/moluopro/matrices
Matrix Computing and Linear Algebra Library for Dart and Flutter
https://github.com/moluopro/matrices
dart flutter linear-algebra math mathematics matrix
Last synced: 14 days ago
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Matrix Computing and Linear Algebra Library for Dart and Flutter
- Host: GitHub
- URL: https://github.com/moluopro/matrices
- Owner: moluopro
- License: mit
- Created: 2022-12-31T16:18:09.000Z (almost 2 years ago)
- Default Branch: master
- Last Pushed: 2023-07-24T02:55:30.000Z (over 1 year ago)
- Last Synced: 2024-11-14T21:38:14.966Z (about 1 month ago)
- Topics: dart, flutter, linear-algebra, math, mathematics, matrix
- Language: Dart
- Homepage: https://pub.dev/packages/matrices
- Size: 1.52 MB
- Stars: 3
- Watchers: 0
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.ZH.md
- Changelog: CHANGELOG.md
- Funding: .github/FUNDING.yml
- License: LICENSE
Awesome Lists containing this project
README
## Matrices - Dart矩阵运算和线性代数库
[English](https://github.com/moluopro/matrices/blob/master/README.md) [中文](https://github.com/moluopro/matrices/blob/master/README.ZH.md)
****
Matrices是一个Dart语言的矩阵运算和线性代数库。开发它的目的是为Astable等项目提供矩阵运算支持。目前所有运算均使用Dart语言实现。使用时需要导入matrices.dart文件。另外，在使用Matrices之前，您需要了解线性代数的相关概念。
线性代数是数学的一个分支，它的研究对象是向量、线性空间、线性变换和有限维的线性方程组。线性代数主要处理线性关系问题。线性关系意即数学对象之间的关系是以一次形式来表达的。由于科学研究中的非线性模型通常可以被近似为线性模型，因此线性代数被广泛地应用于自然科学和社会科学中。
****
## 简单使用
```dart
/// Creating a matrix
var mat = Matrix.fromList([
[1, 2, 3],
[4, 5, 6]
]);
print( mat );
// Matrix: 2x4
// [1.0, 2.0, 3.0]
// [4.0, 5.0, 6.0]
/// Creating a matrix filled with 0’s
var mat = Matrix.zero(2, 3);
print( mat );
// Matrix: 2x3
// [0.0, 0.0, 0.0]
// [0.0, 0.0, 0.0]
/// Creating a matrix filled with 1’s
var mat = Matrix.one(2, 3);
print( mat );
// Matrix: 2x3
// [1.0, 1.0, 1.0]
// [1.0, 1.0, 1.0]
/// Creating a matrix filled with certain value
var mat = Matrix.number(9, 2, 3);
print( mat );
// Matrix: 2x3
// [9.0, 9.0, 9.0]
// [9.0, 9.0, 9.0]
/// Creating a matrix from a flattened list
// If the length of the flattened list is smaller than the expected matrix size,
// zeros will be filled in the vacant position.
var mat1 = Matrix.fromFlattenedList([1, 2, 3, 4], 2, 2);
var mat2 = Matrix.fromFlattenedList([1, 2, 3, 4], 2, 3);
print(mat1);
print(mat2);
// Matrix: 2x2
// [1.0, 2.0]
// [3.0, 4.0]
// Matrix: 2x3
// [1.0, 2.0, 3.0]
// [4.0, 0.0, 0.0]
/// Creating a matrix filled with random values
var mat = Matrix.random(2, 3);
print( mat );
// Matrix: 2x3
// [0.38224693703597046, 0.5412146597032305, 0.6424342222644003]
// [0.8491145735932242, 0.6236773300386973, 0.25269555696856316]
/// Addition
print( mat + 3 );
print( mat + mat );
// Matrix: 2x3
// [4.0, 5.0, 6.0]
// [7.0, 8.0, 9.0]
// Matrix: 2x3
// [2.0, 4.0, 6.0]
// [8.0, 10.0, 12.0]
/// Take the matrix mat as example
Matrix mat 2x4
[1, 2, 3, 4]
[5, 6, 7, 8]
/// Indexing a matrix element
print( mat[1][2] );
// 7.0
/// Number of rows
print( mat.rowCount );
// 2
/// Number of columns
print( mat.columnCount );
// 4
/// Total number of elements
print( mat.count );
// 8
/// Slicing a row
print( mat.row(0) );
// An easier slicing method
print( mat[0] );
// [1.0, 2.0, 3.0, 4.0]
// [1.0, 2.0, 3.0, 4.0]
/// Slicing a column
print( mat.column(0) );
// Here, we also provide an easier slicing method for columns
// Add a minus before real column index to slice column (except the 1st column)
// Slicing the 1st column
print( mat[''] );
// Slicing the 2nd column
print( mat[-1] );
// [1.0, 5.0]
// [1.0, 5.0]
// [2.0, 6.0]
/// Transposing
print( mat.transpose );
// Matrix: 4x2
// [1.0, 5.0]
// [2.0, 6.0]
// [3.0, 7.0]
// [4.0, 8.0]
/// Row Echelon Form
print( mat.rowEchelonForm );
// Matrix: 2x4
// [1.0, 0.0, -1.00000, -2.00000]
// [0.0, 1.0, 2.00000, 3.00000]
/// Rank
print( mat.rank );
// 2
/// Take the matrix mat as example, too.
Matrix mat 2x4
[1, 2, 3, 4]
[5, 6, 7, 8]
/// Modify an element
mat[0][0] = 6;
print( mat[0] );
// [6.0, 2.0, 3.0, 4.0]
/// Modify a row
mat.setRow([6, 6, 6, 6], 0);
print( mat[0] );
// [6.0, 6.0, 6.0, 6.0]
// A eaiser way to modify a row
mat[0] = [8, 8, 8, 8];
print( mat[0] );
// [8.0, 8.0, 8.0, 8.0]
/// Modify a column
mat.setColumn([6, 6], 0);
print( mat );
// Matrix: 2x4
// [6.0, 2.0, 3.0, 4.0]
// [6.0, 6.0, 7.0, 8.0]
// A eaiser way to modify a column
// Add a minus before real column index to modify column (except the 1st column which requires an empty string)
mat[''] = [8, 8];
mat[-1] = [9, 9];
print( mat );
// Matrix: 2x4
// [8.0, 9.0, 3.0, 4.0]
// [8.0, 9.0, 7.0, 8.0]
/// Subtraction
var mat1 = Matrix.fromList([
[1, 2, 1],
[1, 2, 1]
]);
print( mat - 3 );
print( mat - mat1 );
// Matrix: 2x3
// [-2.0, -1.0, 0.0]
// [1.0, 2.0, 3.0]
// Matrix: 2x3
// [0.0, 0.0, 2.0]
// [3.0, 3.0, 5.0]
/// Scalar Multiplication
// Note: Scalar should be on the right position of the operator *
print( mat * 3 );
// Matrix: 2x3
// [3.0, 6.0, 9.0]
// [12.0, 15.0, 18.0]
/// Matrix Product
var mat2 = Matrix.fromList([
[2, 3.5],
[1, -2],
[-4, 0.5]
]);
print( mat * mat2 );
// Matrix: 2x2
// [-8.0, 1.0]
// [-11.0, 7.0]
/// 这只是Matrices的简单入门，进一步使用请翻阅文档
```
## 进阶用法
点击 [Matrices文档](https://abandoft.gitee.io/matrices/) 探索精彩的矩阵世界
## 谁在使用
- [Astable](https://apps.microsoft.com/store/detail/9NQM9B17MGJS) - 优雅而强大的结构力学软件