Complex numbers

Definition

class Complex

Data members

Methods

• Constructor:

  Complex(const double real_part = 0.0, const double imag_part = 0.0)
  

• Read: real then imaginary
• Write: real then imaginary
• Real part: double real(const Complex& c)
• Imaginary part: double imag(const Complex& c)
• Norm: double norm(const Complex& c)
• Length: double abs(const Complex& c) or double fabs(const Complex& c)
• Complex conjugate: complex conjugate(const Complex& c)
• Unary minus: Complex operator-(const Complex& a)

  e.g. Complex a; cin >> a; Complex b = -a;

• Add: Complex operator+(const Type1 a, const Type2& b) (where at least one of Type1 and Type2 is Complex; the other may be int, double or Complex)

  e.g. Complex a, b; cin >> a >> b; Complex c = a + b;

• Subtract: Complex operator-(const Type1 a, const Type2& b) (where at least one of Type1 and Type2 is Complex; the other may be int, double or Complex)

  e.g. Complex a, b; cin >> a >> b; Complex c = a - b;

• Multiply: Complex operator*(const Type1 a, const Type2& b) (where at least one of Type1 and Type2 is Complex; the other may be int, double or Complex)

  e.g. Complex a, b; cin >> a >> b; Complex c = a * b;

• Divide: Complex operator/(const Type1 a, const Type2& b) (where at least one of Type1 and Type2 is Complex; the other may be int, double or Complex)

  e.g. Complex a, b; cin >> a >> b; Complex c = a / b;

• Exponentiate: Complex exp(const Complex& a)
• Natural logarithm: Complex log(const Complex& a)
• Raise to a power: Complex pow(const Type& a, const Type& b) (where at least one of Type1 and Type2 is Complex; the other may be int, double or Complex)