Bisymmetric matrix in C++?

C++Server Side ProgrammingProgramming

Here we will see one program that will help to check whether a matrix is bisymmetric or not. The Bisymmetric matrix is one square matrix that are symmetric about both of the major diagonals. The below matrix is an example of bisymmetric matrix.

1 2 3 4 5
2 6 7 8 4
3 7 9 7 3
4 8 7 6 2
5 4 3 2 1

Algorithm

checkBiSymmetric(mat, n)

Begin
   for i in range 0 to n – 1, do
      for j in range 0 to i – 1, do
         if mat[i, j] is not same as mat[j, i], then
            return false
         end if
      done
   done
   for i in range 0 to n – 1, do
      for j in range 0 to n – i, do
         if mat[i, j] is not same as mat[n – j - 1, n – i - 1], then
            return false
         end if
      done
   done
   return true
End

Example

 Live Demo

#include<iostream>
#define N 5
using namespace std;
int matrix[N][N] = {{1, 2, 3, 4, 5},
{2, 6, 7, 8, 4},
{3, 7, 9, 7, 3},
{4, 8, 7, 6, 2},
{5, 4, 3, 2, 1}};
bool checkBiSymmetric() {
   for (int i = 0; i < N; i++) //scan through forward diagonal
      for (int j = 0; j < i; j++)
         if (matrix[i][j] != matrix[j][i]) //when corresponding elements are not same, return false
            return false;
         for (int i = 0; i < N; i++) //scan through forward diagonal
            for (int j = 0; j < N - i; j++)
               if (matrix[i][j] != matrix[N - j - 1][N - i - 1]) //when corresponding elements are not same, return false
                  return false;
   return true; //otherwise return true
}
main() {
   if(checkBiSymmetric()){
      cout << "Yes the matrix is bisymmetric";
   } else {
      cout << "No the matrix is not bisymmetric";
   }
}

Output

Yes the matrix is bisymmetric
raja
Published on 26-Jul-2019 12:12:53
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