Please help me implement functions and have code running, thank you! code below __________________________________________________________________________________________________________ #include  #include  #include  using namespace std; class Fraction { public: // constructor Fraction(int a, int b); // generate a fraction which is a/b Fraction(int a); // generate a fraction which is a/1 Fraction(); // generate a fraction which is 0/1. i.e 0 // member functions int get_numerator() const; // return the numerator of the fraction int get_denominator() const; // return the denominator of the fraction void reduce(); // reduce this fraction to simplest form. For instance, // 2/4 will be reduced to 1/2 Fraction reciprocal() const; // return the reciprocal of this Fraction // friend functions friend Fraction operator +(const Fraction& f1, const Fraction& f2); // return the sum of f1 and f2, // the result is reduced friend Fraction operator -(const Fraction& f1, const Fraction& f2); // return the difference of f1 and f2, // the result is reduced friend Fraction operator *(const Fraction& f1, const Fraction& f2); // return the product of f1 and f2, // the result is reduced friend Fraction operator /(const Fraction& f1, const Fraction& f2); // return the quotient of f1 and f2, // the result is reduced friend Fraction operator -(const Fraction& f); // return the negation of f friend bool operator < (const Fraction& f1, const Fraction& f2); // return true if f1 is less than f2. // False otherwise friend bool operator > (const Fraction& f1, const Fraction& f2); // return true if f1 is greater than f2. // False otherwise friend bool operator <= (const Fraction& f1, const Fraction& f2); // return true if f1 is less or equal to f2. // False otherwise friend bool operator >= (const Fraction& f1, const Fraction& f2); // return true if f1 is greater or equal to f2. // False otherwise friend bool operator == (const Fraction& f1, const Fraction& f2); // return true if f1 is equal to f2. // False otherwise friend bool operator != (const Fraction& f1, const Fraction& f2); // return true if f1 is not equal to f2. // False otherwise friend istream& operator >> (istream& in, Fraction& f); // input f in the form of a/b, where b cannot be zero. Also, // if b is negative, the Fraction will change b to be positive. // So, again, 1/-3 will be changed to -1/3 friend ostream& operator << (ostream& out, Fraction& f); // output a Fraction f in form of a/b private: int num; // numerator of the fraction int den; // denominator of the fraction int gcd(); // A prvate function that is used to find the gcd of numerator // and denominator by using Euclidean Algorithm }; // all following test functions are given double test1(); // test all constructors and two get methods. // All these functions worth 1.5 points double test2(); // test neg, reduce, and reciprocal functions. // All these functions worth 1.5 points double test3(); // test add, sub, mul, and div functions. // All these functions worth 3 points double test4(); // test less, greater, equal, less_or_equal, greater_or_equal, // not_equal. All these functions worth 2 points double test5(); // test input and output function. This two functions worth 1 points int main() { double totalScore = 0.0; cout <<"Let's see your grade. "; system("pause"); cout << endl; // Test constructors, and get functions totalScore += test1(); cout << "Your points so far is " << totalScore << " "; system("pause"); cout << endl; // Test neg, reciprocal, and reduce functions totalScore += test2(); cout << "Your points so far is " << totalScore << " "; system("pause"); cout << endl; // Test +, -, *, / operators totalScore += test3(); cout << "Your points so far is " << totalScore << " "; system("pause"); cout << endl; // Test all >, <, >=, <=, ==, != operators totalScore += test4(); cout << "Your points so far is " << totalScore << " "; system("pause"); cout << endl; // Test >> and << operators totalScore += test5(); cout << "Your points so far is " << totalScore << " "; system("pause"); cout << endl; cout << "If you turn in your program to Dr. Zeng now, your will get " << totalScore << " out of 9 "; cout << "Dr. Zeng will read your program and decide if you will get 1 more point for program style "; system("pause"); return 0; } // implement all class member functions here, gcd function is given int Fraction::gcd() { if(num == 0) return 1; int a = max(abs(num), abs(den)); int b = min(abs(num), abs(den)); while(b != 0) { int result = a%b; a = b; b = result; } return a; } // test all constructors and two get methods. // All these functions worth 1 points double test1() { double result = 1.5; // Test no argument constructor Fraction f1; // the fraction should be 0/1 if(f1.get_numerator() != 0 || f1.get_denominator() != 1) { cout << "The constructor with no argument was wrong. "; result -= 0.5; } // Test one argument constructor Fraction f2(2); // the fraction should shoule be 2/1 if(f2.get_numerator() != 2 || f2.get_denominator() != 1) { cout << "The constructor with one argument was wrong. "; result -= 0.5; } // Test two arguments constructors Fraction f3(3, -4); // the fraction should be -3/4 if(f3.get_numerator() != -3 || f3.get_denominator() != 4) { cout << "The constructor with two argument was wrong. Make sure that the denomunator always positive. "; result -= 0.5; } // finish test if(result < 1.5 && result > 0) cout << "Test 1 partially failed. You got " << result << " more points "; else if(result > 1.4) cout << "Test 1 fully passed. You got 1.5 more points "; else cout << "Test 1 completely failed. You may check your constructors and get methods "; return result; } // test neg, reduce, and reciprocal functions. // All these functions worth 1.5 points double test2() { double result = 1.5; Fraction f1(12, -15), f2(2, 3), f3, f4; // Test neg f3 = -f1; // f3 is 12/15 f4 = -f2; // f4 is -2/3 if(f3.get_numerator() != 12 || f3.get_denominator() != 15 || f4.get_numerator() != -2 || f4.get_denominator() != 3) { cout <<"The negation function was wrong. "; result -= 0.5; } // Test reciprocal f3 = f1.reciprocal(); // f3 is -15/12 f4 = f2.reciprocal(); // f4 is 3/2 if(f3.get_numerator() != -15 || f3.get_denominator() != 12 || f4.get_numerator() != 3 || f4.get_denominator() != 2) { cout <<"The reciprocal function was wrong. "; result -= 0.5; } // Test reduce f1.reduce(); // f1 is -4/5 f2.reduce(); // f2 is 2/3 if(f1.get_numerator() != -4 || f1.get_denominator() != 5 || f2. get_numerator() != 2 || f2.get_denominator() != 3) { cout <<"The reduce function was wrong. "; result -= 0.5; } // finish test if(result < 1.5 && result > 0) cout << "Test 2 partially failed. You got " << result << " more points "; else if(result > 1.4) cout << "Test 2 fully passed. You got 1.5 more points "; else cout << "Test 2 completely failed. "; return result; } // test +, -, *, and / operators. // All these functions worth 3 points double test3() { Fraction f1(-1, 2), f2(3, 5), f; double result = 3.0; // Test + f = f1 + f2; // f is -1/2+3/5 = 1/10 if(f.get_numerator() != 1 || f.get_denominator() != 10) { cout <<"The add function was wrong. "; result -= 1.0; } // Test subtraction f = f1 - f2; // f is -1/2 - 3/5 = -11/10 if(f.get_numerator() != -11 || f.get_denominator() != 10) { cout <<"The sub function was wrong. "; result -= 0.5; } // Test multiplication f = f1 * f2; // f is -3/10 if(f.get_numerator() != -3 || f.get_denominator() != 10) { cout <<"The mul function was wrong. "; result -= 1.0; } // Test division f = f1 / f2; // f is -5/6 if(f.get_numerator() != -5 || f.get_denominator() != 6) { cout <<"The div function was wrong. "; result -= 0.5; } // finish test if(result < 3.0 && result > 0) cout << "Test 3 partially failed. You got " << result << " more points "; else if(result > 2.9) cout << "Test 3 fully passed. You got 3.0 more points "; else cout << "Test 3 completely failed. "; return result; } // test less, greater, equal, less_or_equal, greater_or_equal, // not_equal. All these functions worth 2 points double test4() { Fraction f1(-1, 2), f2(3, 5), f3(2, -4); double result = 2.0; // Test < if(!(f1 < f2) || f1 < f3 || f2 < f3) { cout <<"The < operator was wrong. "; result -= 0.5; } // Test > if(f1 > f2 || !(f2 > f1) || f1 > f3) { cout <<"The > operator was wrong. "; result -= 0.5; } // Test == if(f1 == f2 || !(f1 == f3) || f2 == f3) { cout <<"The equal function was wrong. "; result -= 0.5; } // Test <= if(!(f1 <= f2) || !(f1 <= f3) || f2 <= f3) { cout <<"The less_or_equal function was wrong. "; result -= 0.5; } // Test >= if(f1 >= f2 || !(f1 >= f3) || !(f2 >= f3)) { cout <<"The greater_or_equal function was wrong. "; result -= 0.5; } // Test != if(!(f1 != f2) || f1 != f3 || !(f2 != f3)) { cout <<"The not_equal function was wrong. "; result -= 0.5; } // finish test if(result < 2.0 && result > 0) cout << "Test 4 partially failed. You got " << result << " more points "; else if(result > 1.9) cout << "Test 4 fully passed. You got 2.0 more points "; else cout << "Test 4 completely failed. "; return max(result, 0.0); // the student will not get negative points for any test } // test input and output function. This two functions worth 1 points double test5() { double result = 1.0; Fraction f; cout << "This test has to be interactive, please follow the instruction "; cout << "Enter a fraction exactly as 3/-4:"; cin >> f; if(f.get_denominator() != 4 || f.get_numerator() != -3) { cout << "The input function is not correct "; result -= 0.5; } Fraction f1(3, -4); cout << f1; cout << " Does the previous line show you -3/4? Y or N: "; char choice; cin >> choice; if(choice != 'y' && choice != 'Y') { cout << "The output function is not correct "; result -= 0.5; } // finish test if(result < 1.0 && result > 0) cout << "Test 5 partially failed. You got " << result << " more points "; else if(result > 0.9) cout << "Test 5 fully passed. You got 1.0 more points "; else cout << "Test 5 completely failed. "; return result; }