Problem Solving: Cross Product of Sets (Using Functions)

Learn to create a program that computes the cross-product of sets using functions.

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main.cpp
Sets.txt
void loadSet(const char Msg[], int S[ ], int &size, ifstream &rdr);
// Assume loadSet is available.
void crossProduct(const char Msg[], int A1[],int sizeA1,int A2[],int sizeA2)
{
	// Write code here
}
int main()
{
    const int capacity = 500;
	int A[capacity] = { 0 }, B[capacity] = { 0 }, sizeA, sizeB;
	ifstream rdr("Sets.txt");
	loadSet("A", A, sizeA, rdr);    // load sizeA many entries
    loadSet("B", B, sizeB, rdr);    // load sizeB many entries
	// Write code for AXB: Do function call
	
	// Write code for BXA: Do function call
	
}

Cross product

Here’s the prototype of the crossProduct() function:

void crossProduct(const char Msg[],int A1[],int sizeA1,int A2[],int sizeA2)

We have called the two sets in the function A1 and A2. The cross product can be taken of any two sets, be it AxB or BxA or any other two. The same implementation will work in all cases based on the two arguments passed.

Instruction: Look at the two implementations and write this function in the playground above to complete your program.

The previous implementation of cross product:


cout << "\nA x B: = {\n";
for (int ai = 0; ai <= sizeA-1; ai++)
{
  cout << "\t\t\t";
  for (int bi = 0; bi<=sizeB-1;bi++)
    {
      cout<<"("<<A[ai]<<", " 
           << B[bi] << ")";

// for not print comma ',' at the end
      if (bi!=(sizeB-1)||ai!=(sizeA-1)) 
         cout << ", ";
    }
    cout << endl;
}


cout << "\nB x A: = {\n";
for (int bi = 0; bi <= sizeB-1; bi++)
{
  cout << "\t\t\t";
  for (int ai = 0; ai<=sizeA-1;ai++)
    {
      cout<<"("<<B[bi]<<", " 
           << A[ai] << ")";

// for not print comma ',' at the end
      if (bi!=(sizeB-1)||ai!=(sizeA-1)) 
         cout << ", ";
    }
    cout << endl;
}

The crossProduct function:

void crossProduct(const char Msg[],
 int A1[],int sizeA1,int A2[],int sizeA2)
{
  cout << Msg<<": = {\n";
  for (int ai = 0; ai <= sizeA1-1; ai++)
  {
    cout << "\t\t\t";
    for (int bi = 0; bi<=sizeA2-1;bi++)
    {
      cout<<"("<<A1[ai]<<", " 
           << A2[bi] << ")";

   // not print comma ',' at the end
      if (bi!=(sizeA2-1)||ai!=(sizeA1-1)) 
         cout << ", ";
    }
    cout << endl;
  }
  cout << "}";
}


int main()
{
.
.
.
crossProduct("AxB", A, sizeA, B, sizeB);
crossProduct("BxA", B, sizeB, A, sizeA);

.
.
.
}

Instruction: Add the function crossProduct() and test them inside main() and see the output.