How to implement matrix transformation in Golang

Golang is an open source programming language. Its efficiency and concurrency make it powerful. Operating matrices in Golang is an important task. This article will introduce how to implement matrix conversion in Golang.

1. What is a matrix

A matrix is ​​a rectangular mathematical table containing one or more numerical elements. In Golang, we can use slice nesting to represent matrices. For example, a 2×2 matrix can be represented as m := [][]float64{{1,2},{3,4}}.

2. Matrix transpose

Matrix transpose is to exchange the rows and columns of the matrix. In Golang, we can traverse the matrix by nested for loops, and then transpose the elements at the corresponding positions to achieve matrix transposition.

func transpose(m [][]float64) [][]float64 {

rows := len(m)
cols := len(m[0])
result := make([][]float64, cols)
for i := range result {
    result[i] = make([]float64, rows)
}
for i := 0; i < rows; i++ {
    for j := 0; j < cols; j++ {
        result[j][i] = m[i][j]
    }
}
return result

}

In the above code, we first define the number of rows of the matrix and the number of columns, and create a new matrix to store the transposed matrix. Then we use a nested for loop to traverse the original matrix, store the elements at the corresponding positions in the corresponding positions in the new matrix, and finally return the result.

3. Matrix rotation

Matrix rotation is to rotate the matrix clockwise or counterclockwise by a certain angle. In Golang, we can achieve matrix rotation through matrix transpose and row or column inversion.

func rotateClockwise(m [][]float64) [][]float64 {

result := transpose(m)
for i := range result {
    for j := range result[i] {
        result[i][j], result[i][len(result[i])-1-j] = result[i][len(result[i])-1-j], result[i][j]
    }
}
return result

}

In the above code, we first call the transpose function to get the rotation The resulting matrix is ​​then inverted for each row. Finally, return the rotated matrix.

4. Summary

This article introduces how to implement matrix transpose and matrix rotation in Golang. In actual development, matrix operations are very practical, so it is extremely necessary for Golang programmers to master matrix operation technology.

The above is the detailed content of How to implement matrix transformation in Golang. For more information, please follow other related articles on the PHP Chinese website!