Problem: Set Operations +-------------------------------+ Mathematically, a set

Question

Problem: Set Operations

+-------------------------------+

Mathematically, a set is said to be consists of well-defined elements. For instance, the following are well-defined sets.

A = {1, 2, 3, A, 5, 6, 7, G}

B = {2, 3, 4, 8, 9, B}

A set may be described using other types of expression; specially, if the set has elements (members) that are numerous to list.

There are a well-defined operations that can be performed on sets.

The class should be called Operation

1. Determining a given set A is a subset of B, or not and set B is a subset of A, or not. (This should be a function called SubsetOfA and SubsetofB)

A is-a-subset-of B ==> false

B is-a-subset-of A ==> false

2. Union of sets: finds all elements of both A and B and generates a unique set. (This should be a function called UnionofAandB)

A union B = {1, 2, 3, 4, 5, 6, 7, 8, 9}

3. Intersection of sets: determines common elements that belong to both A and B. (This should be a function called IntersectionofAandB)

A intersection-of B = {2, 3, 4}

4. Complement of sets: given the following sets (This should be a function called ComplementAtoB and ComplementBtoA)

A = {1, 2, 3, 4} and B = {5, 2, 3, 8}

A - B = {1, 4} or B - A = {5, 8}

Tasks Requirement

+---------------------------+

1. You are to develop a "Set Operation Calculator" using C++ Object Oriented Programming. The cpp file should be name operationLastNameFirstName.cpp

2. Expressions are read from file call input.dat and their solutions are displayed on the display monitor and out to a file called output_LastNameFirstName.dat. (Hints: It could be letters too) Create a file with 2 line the first line is input for A and the second line should be the input for B

3. These operations must be supported: subset, union (+), intersection (^), and Complement (-). You must create 4 functions for each of the operations.

Example, Given these sets: A = {1, 2, 3, 4, F, Z} and B = {5, 2, 3, 8, Z}

A is-a-subset-of B ==> false

B is-a-subset-of A ==> false

A + B = {1, 2, 3, 4, 5, 8, F, Z}

A ^ B = {2, 3, Z}

A - B = {1, 4, F}

B - A = {5, 8}

Explanation / Answer

#include <iostream>
#include <string>
#include <fstream>
using namespace std;



class Operation
{
private:
bool flag;
public:
string SubsetOfA()
{
cout << "A is-a-subset-of B ==> ";
}
string SubsetOfB()
{
cout << "B is-a-subset-of A ==> ";
}
string UnionofAandB()
{
cout << "A + B = {";
}
string IntersectionofAandB()
{
cout << "A ^ B = {";
}
string ComplementAtoB()
{
cout << "A - B = {";
}
string ComplementBtoA()
{
cout << "B - A = {";
}
};



int main()
{
string data, data1, data2;
ifstream op;
ofstream nop;

op.open("input.dat");
nop.open("output_BashirRamie.dat");

while (!op.eof())
{
getline(op, data);

cout << data << endl;
nop << data << endl;
}
while (!' ')
{
getline(op, data1);

cout << data << endl;
nop << data << endl;
}
while (!op.eof()) // Here I want to get the second line from my DAT file
{
getline(op, data2);

cout << data << endl;
nop << data << endl;
}

system("pause");
return (0);
}

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