You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
108 lines
2.4 KiB
108 lines
2.4 KiB
#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; }
|
|
};
|