Write a program that performs zero-one matrix operations, including the join, th

Question

Write a program that performs zero-one matrix operations, including the join, the meet, and the Boolean product. Your matrices should be of type bool and use logical AND (&&) and logical OR (||). Upload the .cpp file along with your captured output or output to a file as a .zip file. Write a program that performs zero-one matrix operations, including the join, the meet, and the Boolean product. Your matrices should be of type bool and use logical AND (&&) and logical OR (||). Upload the .cpp file along with your captured output or output to a file as a .zip file.

Explanation / Answer

Solution:

code:

#include <iostream>

using namespace std;

bool **matOR(bool **A, bool **B, int rows, int cols){
   bool **C = new bool*[rows];
   for(int i = 0; i < rows; ++i){
       C[i] = new bool[cols];
       for(int j = 0; j < cols; ++j){
           C[i][j] = A[i][j] || B[i][j];
       }
   }
   return C;
}

bool **matAND(bool **A, bool **B, int rows, int cols){
   bool **C = new bool*[rows];
   for(int i = 0; i < rows; ++i){
       C[i] = new bool[cols];
       for(int j = 0; j < cols; ++j){
           C[i][j] = A[i][j] && B[i][j];
       }
   }
   return C;
}

bool **matProduct(bool **A, bool **B, int aRows, int aCols, int bRows, int bCols){
   if(aCols == bRows){
       bool **C = new bool*[aRows];
       for(int i = 0; i < aRows; ++i){
           C[i] = new bool[bCols];
           for(int j = 0; j < bCols; ++j){
               int val = 0;
               for(int k = 0; k < aCols; ++k){
                   val += A[i][k] + B[k][j];
               }
               C[i][j] = val;
           }
       }
       return C;
   }
}

void print(bool **arr, int rows, int cols){
   for(int i = 0; i < rows; ++i){
       for(int j = 0; j < cols; ++j){
           cout << arr[i][j] << " ";
       }
       cout << endl;
   }
   cout << endl;
}

int main(){
   bool **A;
   bool **B;
   bool **AorB;
   bool **AandB;
   bool **AproductB;
   int aRows, aCols, bRows, bCols;
   cout << "Enter number of rows in A: ";
   cin >> aRows;
   cout << "Enter number of cols in A: ";
   cin >> aCols;
   cout << "Enter number of rows in B: ";
   cin >> bRows;
   cout << "Enter number of cols in B: ";
   cin >> bCols;
   A = new bool*[aRows];
   B = new bool*[bCols];
   cout << "Enter Matrix A: " << endl;
   for(int i = 0; i < aRows; ++i){
       A[i] = new bool[aCols];
       for(int j = 0; j < aCols; ++j){
           cin >> A[i][j];
       }
   }
   cout << "Enter Matrix B: " << endl;
   for(int i = 0; i < bRows; ++i){
       B[i] = new bool[bCols];
       for(int j = 0; j < bCols; ++j){
           cin >> B[i][j];
       }
   }
   cout << "A is" << endl;
   print(A, aRows, aCols);
   cout << "B is" << endl;
   print(B, bRows, bCols);
   AorB = matOR(A, B, aRows, aCols);
   cout << "A OR B is" << endl;
   print(AorB, aRows, aCols);
   AandB = matAND(A, B, aRows, aCols);
   cout << "A AND B is" << endl;
   print(AandB, aRows, aCols);
   AproductB = matProduct(A, B, aRows, aCols, bRows, bCols);
   cout << "A PRODUCT B is" << endl;
   print(AproductB, aRows, bCols);
}

I hope this helps if you find any problem. Please comment below. Don't forget to give a thumbs up if you liked it. :)

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