Question

In C++, implement a class called setOper that provides several simple set operations. The class only needs to deal with sets that are closed intervals specified by two real numbers; for example, the pair (2.5, 4.5) represent the interval [2.5, 4.5].

The following operations should be supported:

- Check if the value x belongs to the given interval.

- Check if the value x belongs to the intersection of two intervals.

- Check if the value x belongs to the union of two intervals.

Test this class in the main program.

Hand in a zip file containing:

- Header and implementation files for the setOper class

- The main program source code

Answer 1

#include<iostream>
using namespace std;
class setOper
{
    public:
    
    bool belong(double*a,double n) //check if n belongs in the interval
    {
        if(a[0]<=n && a[1]>=n)
            return true;
        return false;
    }
    
    bool unify(double*a,double*b,double n) //check if n belongs in union
    {
        double ret[2] = {0,0};
        if(a[0]<b[0])
            ret[0] = a[0];
        else
            ret[0] = b[0];
        if(a[1]>b[1])
            ret[1] = a[1];
        else
            ret[1] = b[1];
        return belong(ret,n);
    }
    
    bool inter(double*a,double*b,double n) //check if n belongs in intersection
    {
        double ret[2] = {0,0};
        if(a[0]>b[0])
            ret[0] = a[0];
        else
            ret[0] = b[0];
        if(a[1]<b[1])
            ret[1] = a[1];
        else
            ret[1] = b[1];
        return belong(ret,n);
    }
};

int main()
{
    setOper so;
    double a[] = {-2,1};
    double b[] = {-1,2};
    double n = 1.5;
    cout << so.belong(a,n);
    cout << so.belong(b,n);
    cout << so.unify(a,b,n);
    cout << so.inter(a,b,n);
}