Kronecker product

You are encouraged to solve this task according to the task description, using any language you may know.


Task

Implement the   Kronecker product   of two matrices (arbitrary sized) resulting in a block matrix. 




Test cases

Show results for each of the following two samples:




Sample 1 (from Wikipedia):



          ┌   ┐     ┌   ┐     ┌           ┐
          │1 2│     │0 5│     │ 0  5  0 10│
          │3 4│  x  │6 7│  =  │ 6  7 12 14│
	  └   ┘     └   ┘     │ 0 15  0 20│
	                      │18 21 24 28│
                              └           ┘ 

Sample 2:

          ┌     ┐     ┌       ┐     ┌                       ┐       
          │0 1 0│     │1 1 1 1│     │0 0 0 0 1 1 1 1 0 0 0 0│
          │1 1 1│  x  │1 0 0 1│  =  │0 0 0 0 1 0 0 1 0 0 0 0│
          │0 1 0│     │1 1 1 1│     │0 0 0 0 1 1 1 1 0 0 0 0│
	  └     ┘     └       ┘     │1 1 1 1 1 1 1 1 1 1 1 1│
                                    │1 0 0 1 1 0 0 1 1 0 0 1│
                                    │1 1 1 1 1 1 1 1 1 1 1 1│
                                    │0 0 0 0 1 1 1 1 0 0 0 0│
                                    │0 0 0 0 1 0 0 1 0 0 0 0│
                                    │0 0 0 0 1 1 1 1 0 0 0 0│
                                    └                       ┘



See implementations and results below in JavaScript and PARI/GP languages.



Related task

  Kronecker product based fractals. 


package main
 
import (
    "fmt"
    "strings"
)
 
type uintMatrix [][]uint
 
func (m uintMatrix) String() string {
    var max uint
    for _, r := range m {
        for _, e := range r {
            if e > max {
                max = e
            }
        }
    }
    w := len(fmt.Sprint(max))
    b := &strings.Builder{}
    for _, r := range m {
        fmt.Fprintf(b, "|%*d", w, r[0])
        for _, e := range r[1:] {
            fmt.Fprintf(b, " %*d", w, e)
        }
        fmt.Fprintln(b, "|")
    }
    return b.String()
}
 
func kronecker(m1, m2 uintMatrix) uintMatrix {
    p := make(uintMatrix, len(m1)*len(m2))
    for r1i, r1 := range m1 {
        for r2i, r2 := range m2 {
            rp := make([]uint, len(r1)*len(r2))
            for c1i, e1 := range r1 {
                for c2i, e2 := range r2 {
                    rp[c1i*len(r2)+c2i] = e1 * e2
                }
            }
            p[r1i*len(m2)+r2i] = rp
        }
    }
    return p
}
 
func sample(m1, m2 uintMatrix) {
    fmt.Println("m1:")
    fmt.Print(m1)
    fmt.Println("m2:")
    fmt.Print(m2)
    fmt.Println("m1 ⊗ m2:")
    fmt.Print(kronecker(m1, m2))
}
 
func main() {
    sample(uintMatrix{
        {1, 2},
        {3, 4},
    }, uintMatrix{
        {0, 5},
        {6, 7},
    })
    sample(uintMatrix{
        {0, 1, 0},
        {1, 1, 1},
        {0, 1, 0},
    }, uintMatrix{
        {1, 1, 1, 1},
        {1, 0, 0, 1},
        {1, 1, 1, 1},
    })
}