Task: Kronecker product



C#: using System;
using System.Collections;
using System.Collections.Generic;
using static System.Linq.Enumerable;

public static class KroneckerProduct
{
    public static void Main() {
        int[,] left = { {1, 2}, {3, 4} };
        int[,] right = { {0, 5}, {6, 7} };
        Print(Multiply(left, right));

        left = new [,] { {0, 1, 0}, {1, 1, 1}, {0, 1, 0} };
        right = new [,] { {1, 1, 1, 1}, {1, 0, 0, 1}, {1, 1, 1, 1} };
        Print(Multiply(left, right));
    }

    static int[,] Multiply(int[,] left, int[,] right) {
        (int lRows, int lColumns) = (left.GetLength(0), left.GetLength(1));
        (int rRows, int rColumns) = (right.GetLength(0), right.GetLength(1));
        int[,] result = new int[lRows * rRows, lColumns * rColumns];

        foreach (var (r, c) in from r in Range(0, lRows) from c in Range(0, lColumns) select (r, c)) {
            Copy(r * rRows, c * rColumns, left[r, c]);
        }
        return result;
        
        void Copy(int startRow, int startColumn, int multiplier) {
            foreach (var (r, c) in from r in Range(0, rRows) from c in Range(0, rColumns) select (r, c)) {
                result[startRow + r, startColumn + c] = right[r, c] * multiplier;
            }
        }
    }

    static void Print(int[,] matrix) {
        (int rows, int columns) = (matrix.GetLength(0), matrix.GetLength(1));
        int width = matrix.Cast<int>().Select(LengthOf).Max();
        for (int row = 0; row < rows; row++) {
            Console.WriteLine("| " + string.Join(" ", Range(0, columns).Select(column => (matrix[row, column] + "").PadLeft(width, ' '))) + " |");
        }
        Console.WriteLine();
    }

    private static int LengthOf(int i) {
        if (i < 0) return LengthOf(-i) + 1;
        int length = 0;
        while (i > 0) {
            length++;
            i /= 10;
        }
        return length;
    }

}



Java: package kronecker;


public class Product {
  
  public static int[][] product(final int[][] a, final int[][] b) {
    
    
    final int[][] c = new int[a.length*b.length][];
    
    
    for (int ix = 0; ix < c.length; ix++) {
      final int num_cols = a[0].length*b[0].length;
      c[ix] = new int[num_cols];
    }
    
    
    for (int ia = 0; ia < a.length; ia++) {
      for (int ja = 0; ja < a[ia].length; ja++) {
        
        for (int ib = 0; ib < b.length; ib++) {
          for (int jb = 0; jb < b[ib].length; jb++) {
             c[b.length*ia+ib][b[ib].length*ja+jb] = a[ia][ja] * b[ib][jb];
          }
        }
      }
    }

    
    return c;
  }

  
  public static void print_matrix(final int[][] m) {
    
    
    
    
    final String[][] sts = new String[m.length][];
    int max_length = 0;  
    for (int im = 0; im < m.length; im++) {
      sts[im] = new String[m[im].length];
      for (int jm = 0; jm < m[im].length; jm++) {
        final String st = String.valueOf(m[im][jm]);
        if (st.length() > max_length) {
          max_length = st.length();
        }
        sts[im][jm] = st;
      }
    }

    
    
    
    final String format = String.format("%%%ds", max_length);
    for (int im = 0; im < m.length; im++) {
      System.out.print("|");
      
      for (int jm = 0; jm < m[im].length - 1; jm++) {
        System.out.format(format, m[im][jm]);
        System.out.print(" ");
      }
      System.out.format(format, m[im][m[im].length - 1]);
      System.out.println("|");
    }
  }

  
  private static void test(final int[][] a, final int[][] b) {
    
    System.out.println("Testing Kronecker product");
    System.out.println("Size of matrix a: " + a.length + " by " + a[0].length);
    System.out.println("Matrix a:");
    print_matrix(a);
    System.out.println("Size of matrix b: " + b.length + " by " + b[0].length);
    System.out.println("Matrix b:");
    print_matrix(b);
    System.out.println("Calculating matrix c as Kronecker product");
    final int[][] c = product(a, b);
    System.out.println("Size of matrix c: " + c.length + " by " + c[0].length);
    System.out.println("Matrix c:");
    print_matrix(c);
  }

  
  private static void test1() {
    
    final int[][] a = new int[2][];  
    a[0] = new int[]{1, 2};
    a[1] = new int[]{3, 4};
    final int[][] b = new int[2][];  
    b[0] = new int[]{0, 5};
    b[1] = new int[]{6, 7};
    
    test(a, b);
  }

  
  private static void test2() {
    
    final int[][] a = new int[3][];  
    a[0] = new int[]{0, 1, 0};
    a[1] = new int[]{1, 1, 1};
    a[2] = new int[]{0, 1, 0};
    final int[][] b = new int[3][];  
    b[0] = new int[]{1, 1, 1, 1};
    b[1] = new int[]{1, 0, 0, 1};
    b[2] = new int[]{1, 1, 1, 1};
    
    test(a, b);
  }

  
  public static void main(final String[] args) {
    
    test1();
    test2();
  }

}