GoLinAlg

A linear algebra package for Go

Index

• Getting Started
• Vector
  • Vector Usage Examples
  • Creating a Vector
  • Acessing vector information
  • Modifying a vector
  • Vector Normalization
  • Vector Operations
  • Vector Usage Examples
• Matrix
  • Creating a Matrix
  • Modifying a Matrix
  • Acessing Matrix Information
  • Printing a Matrix
  • Matrix Operations
  • Matrix Usage Examples

Getting Started

To add Go Linear Algebra into your projects you can:

1. Clone the repository or download the source code.

  git clone https://github/OtavioRMC/GoLinAlg

1.1 Include the package in your Go file. For example:

package main

import (
 "GoLinAlg/Matrix"
 "GoLinAlg/Vector"
)

2. Add direclty:

package main

import (
  "github.com/OtavioRMC/GoLinAlg/Vector"
  "github.com/OtavioRMC/GoLinAlg/Matrix"
)

Vector

This Package allows you to create and manipulate vectors of floating-point numbers.

Creating a Vector

The package provides several methods to create and work with vectors.

• NewVector() *Vector: Create an Empty Vector

• NewVectorWithDimensions(num Dims int) *Vector: Create a Vector with a Specific Dimension

• NewVectorWithInputData(inputData []float64) *Vector: Create a Vector with Input Data

Acessing Vector Information

• GetNumDims() int: Get The Number of Dimensions

• GetElement(index int) float64: Get the Value of a Vector Element in a given index

Modifying a Vector

• SetDim(numDims int): Set the Dimension of a Vector

• SetData(data []float64): This method set the data of a vector by providing a slice of float64 values.

Vector Normalization

• EuclideanNorm() float64: Calculate the Euclidean Norm of a Vector

• NormalizedCopyVector() *Vector: Create a Normalized Copy of a Vector

• NormalizeVector(): Normalize a Vector in Place

Vector Operations

• Add(vectorA *Vector) *Vector: Add Vectors

• Subtract(vectorA *Vector) *Vector: Subtract Vectors

• DotProduct(vectorA,VectorB *Vector) float64: Calculate the Dot Product of Two Vectors

• CrossProduct(vectorA, vectorB *Vector) *Vector: Calculate the Cross Product of two 3D vectors.

• Print() string: Print the vector returning a string representation.

Vector Usage

  // Initializing a new vector with 3 dimensions
  v1 := vector.NewVectorWithDimensions(3)
  fmt.Println(v1.Print()) // prints: [0.00, 0.00, 0.00]
		
  // Set dimensions and values
  v1.SetDim(5)
  fmt.Println(v1.Print()) // prints: [0.00, 0.00, 0.00, 0.00, 0.00]
		
  // Initializing a new vector with input data
  v2 := vector.NewVectorWithInputData([]float64{1, 2, 3, 4, 5})
  fmt.Println(v2.Print()) // prints: [1.00, 2.00, 3.00, 4.00, 5.00]

  // Get number of dimensions
  fmt.Println(v2.GetNumDims()) // prints: 5
		
  // Get element at index
  fmt.Println(v2.GetElement(2)) // prints: 3.00
		
  // Compute Euclidean norm
  fmt.Println(v2.EuclideanNorm()) // prints: 7.42
			
  // Create a normalized copy
  v3 := v2.NormalizedCopyVector()
  fmt.Println(v3.Print()) // prints: [0.13, 0.27, 0.40, 0.53, 0.67]

  // Normalize the original vector
  v2.NormalizeVector()
  fmt.Println(v2.Print()) // prints: [0.13, 0.27, 0.40, 0.53, 0.67]
			
  // Add two vectors
  v4 := vector.NewVectorWithInputData([]float64{1, 1, 1, 1, 1})
  v5 := v2.Add(v4)
  fmt.Println(v5.Print()) // prints: [1.13, 1.27, 1.40, 1.53, 1.67]
		
  // Subtract two vectors
  v6 := v5.Subtract(v4)
  fmt.Println(v6.Print()) // prints: [0.13, 0.27, 0.40, 0.53, 0.67]
		
  // Compute dot product
  dot := vector.DotProduct(v4, v5)
  fmt.Println(dot) // prints: 6.00

  // Compute cross product (only applicable for 3D vectors)
  v7 := vector.NewVectorWithInputData([]float64{1, 2, 3})
  v8 := vector.NewVectorWithInputData([]float64{4, 5, 6})
  v9 := vector.CrossProduct(v7, v8)
  fmt.Println(v9.Print()) // prints: [-3.00, 6.00, -3.00]

Matrix

This Package allows you to create and manipulate matrices of floating-point numbers.

Creating a Matrix

You can create a new matrix using one of the following constructors:

• NewMatrix() *Matrix : Create an empty matrix.

• NewMatrixWithSize(nRows, nCols int) *Matrix: Create a matrix with a specified number of rows and columns

• NewMatrixWithData(nRows,nCols int, InputData []float64) * Matrix: Create a matrix with specified data.

Modifying a Matrix

• Resize(nRows, nCols int): Resize the matrix to have the specified number of rows and columns.

• SetToIdentity(): Set the matrix to the identity matrix. (Only works for square matrices)

• SetElement(nRows, nCols int, elementValue float64) error: Set the value of a specific element in the matrix.

Acessing Matrix Information

• GetElement(nRows,nCols int) float64: Retrieve the value of a specific element in the matrix.

• GetNumRows() int: Get the number of rows in the matrix.

• GetNumCols() int: Get the number of colummns in the matrix.

• IsSquare() bool: Check if the matrix is square (Having the same number of rows and columns).

Printing a Matrix

• Print(): Display the matrix's elements in a human-readable format.

Matrix Operations

• Compare(matrix1 * Matrix, tolerance float64) bool: Compare two matrices for equality with a specified tolerance.

• FindSubMatrix(rowToRemove, colToRemove int) (*Matrix,error): Find a submatrix by removing a specified row and column.

• Determinant() (float64,error): Calculate the determinant of the matrix.

• MatrixSum(matrix1 *Matrix) (*Matrix,error): Sum Two Matrices

• MatrixSubtract(matrix1 *Matrix) (*Matrix,error): Subtract Two Matrices

• HadamardProduct(matrix1 *Matrix) (*Matrix,error): Calculate the Hadard Product

• MatrixMultiply(matrix1 *Matrix) (*Matrix,error): Multiply two matrices

Matrix Usage

  // Create Matrix with determined size
  m := matrix.NewMatrixWithSize(2, 2)
	
  // Seting Element
  m.SetElement(0, 0, 1.0)
  m.MatrixPrint()

  // Getting Element
  fmt.Println(m.GetElement(0, 0))


  // Performing Matrix Addition
  m1 := matrix.NewMatrixWithSize(2, 2)
  m2 := matrix.NewMatrixWithSize(2, 2)
  m1.SetElement(0, 0, 1.0)
  m2.SetElement(0, 0, 2.0)
  m3, _ := m1.MatrixSum(m2)
  m3.MatrixPrint()


  // Matrix Multiplication
  m3, _ := m1.MatrixMultiply(m2)

  // Calculating Determinant
  m4 := matrix.NewMatrixWithSize(2, 2)
  m4.SetElement(0, 0, 1.0)
  m4.SetElement(0, 1, 2.0)
  m4.SetElement(1, 0, 3.0)
  m4.SetElement(1, 1, 4.0)
  det, _ := m4.Determinant()
  fmt.Prinln(det)

  m5 := matrix.NewMatrixWithSize(2, 2)
  m6 := matrix.NewMatrixWithSize(2, 2)
  m5.SetElement(0, 0, 1.0)
  m5.SetElement(0, 1, 2.0)
  m5.SetElement(1, 0, 3.0)
  m5.SetElement(1, 1, 4.0)
  m6.SetElement(0, 0, 5.0)
  m6.SetElement(0, 1, 6.0)
  m6.SetElement(1, 0, 7.0)
  m6.SetElement(1, 1, 8.0)
  result, _ := m5.HadamardProduct(m6)
  fmt.Println(result)

Contributing

I welcome contributions to this project. If you're interested in contributing, here are some general guidelines to follow:

• Feel free to fork this repository.
• Make your changes or improvements.
• Submit a Pull Request with a clear description of your changes.
• I will review your Pull Request and provide feedback.

Thank you for considering contributing to GoLinAlg!