Complex number class Design a class in C++, Java, and Python that represents complex numbers and supports important operations such as addition, subtraction, multiplication and division. For the C++ and Python versions you will need to implement the following functions for each operation:

op: Complex Complex ------> Complex

op: Complex double ---------> Complex

op: double Complex ----------> Complex

Where op is one of +, -, *, or /. In addition, you will need to overload the stream insertion operator << to print objects of this type.

A constructor must be defined as well as overloading the assignment operator to allow for implicit conversion from doubles to Complex. Any other methods you deem appropriate should also be included. The more complete your class the better.

The Java version will not have as many methods because Java does not allow for operator overloading or friend functions. Again, the more complete your Java class the better. Override the toString() method.

The Python version you should also include functions for converting from complexes to strings.

The required files for this project are: a main.cc that instantiates complex numbers and tests all methods and functions, and a Main.java file that instantiates and tests all methods of the Complex class. The python files required are a complex.py file.

here's a sample code.

/* * * Java version * */ /* Main.java */ public class Main { public static void main(String[] args) { Rational a = new Rational(1, 2); Rational b = new Rational(1, 3); int i = 5; System.out.println(a + " + " + b + " = " + a.add(b)); System.out.println(a + " - " + b + " = " + a.sub(b)); System.out.println(a + " * " + b + " = " + a.mul(b)); System.out.println(a + " / " + b + " = " + a.div(b)); System.out.println(a + " + " + i + " = " + a.add(i)); System.out.println(a + " - " + i + " = " + a.sub(i)); System.out.println(a + " * " + i + " = " + a.mul(i)); System.out.println(a + " / " + i + " = " + a.div(i)); } } /* Rational.java */ public class Rational { public Rational() { this(0); } public Rational(int num) { this(num, 1); } public Rational(int num, int den) { this.num = num; this.den = den; } public Rational add(Rational o) { return new Rational(num * o.den + o.num * den, den * o.den); } public Rational add(int n) { return new Rational(num + n * den, den); } public Rational div(Rational o) { return new Rational(num * o.den, den * o.num); } public Rational div(int n) { return new Rational(num, den * n); } public Rational mul(Rational o) { return new Rational(num * o.num, den * o.den); } public Rational mul(int n) { return new Rational(num * n, den); } public Rational sub(Rational o) { return new Rational(num * o.den - o.num * den, den * o.den); } public Rational sub(int n) { return new Rational(num - n * den, den); } public String toString() { return "(" + num + " / " + den + ")"; } private int den; private int num; } /* * * C++ version * */ /* rational.h */ #ifndef RATIONAL_H #define RATIONAL_H #include  using std::ostream; struct rational { rational(int = 0, int = 1); rational operator+(const rational &) const; rational operator-(const rational &) const; rational operator*(const rational &) const; rational operator/(const rational &) const; rational operator+(int) const; rational operator-(int) const; rational operator*(int) const; rational operator/(int) const; friend rational operator+(int, const rational &); friend rational operator-(int, const rational &); friend rational operator*(int, const rational &); friend rational operator/(int, const rational &); friend ostream &operator<<(ostream &, const rational &); private: int den; int num; }; #endif /* RATIONAL_H */ /* rational.cc */ #include  #include "rational.h" rational::rational(int num, int den) : num(num), den(den) {} rational rational::operator+(const rational &o) const { return rational(num * o.den + o.num * den, den * o.den); } rational rational::operator+(int n) const { return rational(num + n * den, den); } rational rational::operator-(const rational &o) const { return rational(num * o.den - o.num * den, den * o.den); } rational rational::operator-(int n) const { return rational(num - n * den, den); } rational rational::operator*(const rational &o) const { return rational(num * o.num, den * o.den); } rational rational::operator*(int n) const { return rational(num * n, den); } rational rational::operator/(const rational &o) const { return rational(num * o.den, den * o.num); } rational rational::operator/(int n) const { return rational(num, den * n); } rational operator+(int n, const rational &o) { return o + n; } rational operator-(int n, const rational &o) { return rational(n) - o; } rational operator*(int n, const rational &o) { return o * n; } rational operator/(int n, const rational &o) { return rational(n) / o; } ostream &operator<<(ostream &out, const rational &o) { out << '(' << o.num << " / " << o.den << ')'; return out; } /* main.cc */ #include  #include "rational.h" using std::cout; using std::endl; int main(void) { rational a(1, 2); rational b(1, 3); int i = 5; cout << a << " + " << b << " = " << a + b << endl; cout << a << " - " << b << " = " << a - b << endl; cout << a << " * " << b << " = " << a * b << endl; cout << a << " / " << b << " = " << a / b << endl; cout << a << " + " << i << " = " << a + i << endl; cout << a << " - " << i << " = " << a - i << endl; cout << a << " * " << i << " = " << a * i << endl; cout << a << " / " << i << " = " << a / i << endl; cout << i << " + " << a << " = " << i + a << endl; cout << i << " - " << a << " = " << i - a << endl; cout << i << " * " << a << " = " << i * a << endl; cout << i << " / " << a << " = " << i / a << endl; return 0; } # # # Python version # # class rational: def __init__(self, num=0, den=1): self.num = num self.den = den def __add__(self, other): if isinstance(other, int): return rational(self.num + other * self.den, self.den) elif isinstance(other, rational): return rational(self.num * other.den + other.num * self.den, self.den * other.den) else: raise TypeError def __truediv__(self, other): if isinstance(other, int): return rational(self.num, self.den * other) elif isinstance(other, rational): return rational(self.num * other.den, self.den * other.num) else: raise TypeError def __float__(self): return float(self.num) / self.den def __int__(self): return self.num / self.den def __mul__(self, other): if isinstance(other, int): return rational(self.num * other, self.den) elif isinstance(other, rational): return rational(self.num * other.num, self.den * other.den) else: raise TypeError def __radd__(self, other): return self + other def __rtruediv__(self, other): return rational(other) / self def __rmul__(self, other): return self * other def __rsub__(self, other): return rational(other) - self def __str__(self): return '(' + str(self.num) + ' / ' + str(self.den) + ')' def __sub__(self, other): if isinstance(other, int): return rational(self.num - other * self.den, self.den) elif isinstance(other, rational): return rational(self.num * other.den - other.num * self.den, self.den * other.den) else: raise TypeError if __name__ == '__main__': a = rational(1, 2) b = rational(1, 3) i = 5 print('%s + %s = %s' % (a, b, a + b)) print('%s - %s = %s' % (a, b, a - b)) print('%s * %s = %s' % (a, b, a * b)) print('%s / %s = %s' % (a, b, a / b)) print('%s + %i = %s' % (a, i, a + i)) print('%s - %i = %s' % (a, i, a - i)) print('%s * %i = %s' % (a, i, a * i)) print('%s / %i = %s' % (a, i, a / i)) print('%i + %s = %s' % (i, a, i + a)) print('%i - %s = %s' % (i, a, i - a)) print('%i * %s = %s' % (i, a, i * a)) print('%i / %s = %s' % (i, a, i / a))