Write a C++ class to implement rational numbers as specified below. Here is the h File Rat.h:

Note: you may not modify the Rat.h in anyway and you should produce output exactly like the sample run below.

class details
Rat.h	class Rat { public: Rat(); // constructs 0/1 Rat(int n_, int d_); // exits prog. with error message if d_==0 int getN() const; // getters int getD() const; void setN(int n_); // setters void setD(int d_); // exits prog. with error message if d_==0 Rat norm() const; // returns normalized number Rat reduce() const; // reduces number to lowest terms int cmp(Rat &r) const; // returns -1,0, or 1 Rat add(Rat& op2) const; // adds 2 numbers Rat sub(Rat& op2) const; // subtracts op2 from op1 friend std::ostream& operator ****Here is the implementation for overloaded function ostream& operator }
sample driver	#include using namespace std; #include "Rat.h" int main() { Rat r1(2,4), r2(8,-16), r3(0,-4); cout }

Legal rational numbers are to be stored exactly as they are created (i.e. they need not be stored reduced or in normal form). In normal form denominators are always positive and the value 0 has no sign and is always normalized to 0/1 (i.e. 9/-3 normalized would be -9/3, 0/-3 would be 0/1). The reduce function reduces all values equal to 0 to 0/1. The arithmetic operators add and subalways return a number reduced and in normal form. The function cmp compares two rational numbers op1.cmp(op2) returning -1 if op1op2.

Sample Driver Output:

Terminaltcsh-42x10 macbook:~/C++/% macbook:~/ C++/% 2/4 8/-16 0/-4 g++ ratDriver.cpp a. out Rat.cpp 1 macbook: ~/C++/%