mmathlib/cnumber.hpp

#pragma once
#include "fractions.hpp"
#include <iostream>

using namespace std;

class cnumber {
private:
  fraction r, i;

public:
  // Constructor
  cnumber() {
    r = 0;
    i = 0;
  }
  cnumber(const cnumber &z) {
    r = z.r;
    i = z.i;
  }
  cnumber(const fraction &a, const fraction &b) {
    r = a;
    i = b;
  }
  cnumber(const fraction &a) {
    r = a;
    i = 0;
  }
  cnumber(int a, int b) {
    r = a;
    i = b;
  }
  cnumber(int a) {
    r = a;
    i = 0;
  }
  cnumber(double a, double b) {
    r = a;
    i = b;
  }
  cnumber(double a) {
    r = a;
    i = 0;
  }
  ~cnumber() {}
  // Member functions
  cnumber conjugate() const {
    fraction a(this->r.get_n(), this->r.get_d());
    fraction b(this->i.get_n(), this->i.get_d());
    cnumber z(a, b * -1);
    return z;
  }

  // Operators
  cnumber operator+(const cnumber &that) const {
    cnumber z(this->r + that.r, this->i + that.i);
    return z;
  }
  cnumber operator-(const cnumber &that) const {
    cnumber z(this->r - that.r, this->i - that.i);
    return z;
  }
  cnumber operator*(const cnumber &that) const {
    cnumber z((that.r * this->r) - (that.i * this->i),
              (that.r * this->i) + (this->r * that.i));
    return z;
  }
  cnumber operator*(const fraction &q) const {
    cnumber that(q, fraction(0));
    return *this * that;
  }
  cnumber operator/(const cnumber &that) const {
    cnumber numerator((this->r * that.r) - (this->i * (that.i * -1)),
                      (this->r * (that.i * -1)) + (that.r * this->i));
    cnumber denominator((that.r * that.r) - (that.i * (that.i * -1)),
                        (that.r * (that.i * -1)) + (that.r * that.i));
    cnumber ratio(numerator.r / denominator.r, numerator.i / denominator.r);
    return ratio;
  }

  friend ostream &operator<<(ostream &os, const cnumber &z) {
    if (z.r != 0) {
      os << z.r;
      if ((z.i.get_sign() == 1) && (z.i > 0)) {
        os << '+';
      }
    }
    if (z.i != 0) {
      if ((z.i != 1) && (z.i != -1)) {
        os << z.i;
      } else if (z.i == -1) {
        os << '-';
      }
      os << 'i';
    }
    if (z.r == 0 && z.i == 0) {
      os << '0';
    }
    return os;
  }
  void operator=(const cnumber &z) {
    r = z.r;
    i = z.i;
  }
  const bool operator==(const cnumber &z) const { return r == z.r && i == z.i; }
  const bool operator!=(const cnumber &z) const { return r != z.r || i != z.i; }
};