|
|
|
@ -1,13 +1,14 @@
|
|
|
|
|
#include <iostream>
|
|
|
|
|
#pragma once
|
|
|
|
|
#include "../fractions/fractions.hpp"
|
|
|
|
|
#include <iostream>
|
|
|
|
|
|
|
|
|
|
using namespace std;
|
|
|
|
|
|
|
|
|
|
class cnumber {
|
|
|
|
|
private:
|
|
|
|
|
fraction r,i;
|
|
|
|
|
private:
|
|
|
|
|
fraction r, i;
|
|
|
|
|
|
|
|
|
|
public:
|
|
|
|
|
public:
|
|
|
|
|
// Constructor
|
|
|
|
|
cnumber(const cnumber &z) {
|
|
|
|
|
r = z.r;
|
|
|
|
@ -29,7 +30,7 @@ class cnumber {
|
|
|
|
|
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);
|
|
|
|
|
cnumber z(a, b * -1);
|
|
|
|
|
return z;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
@ -43,21 +44,24 @@ class cnumber {
|
|
|
|
|
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) );
|
|
|
|
|
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));
|
|
|
|
|
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 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 ) {
|
|
|
|
|
friend ostream &operator<<(ostream &os, const cnumber &z) {
|
|
|
|
|
if (z.r != 0) {
|
|
|
|
|
os << z.r;
|
|
|
|
|
if ((z.i.get_sign() == 1) && (z.i > 0)) {
|
|
|
|
@ -74,9 +78,8 @@ class cnumber {
|
|
|
|
|
}
|
|
|
|
|
return os;
|
|
|
|
|
}
|
|
|
|
|
void operator=(const cnumber &z ) {
|
|
|
|
|
void operator=(const cnumber &z) {
|
|
|
|
|
r = z.r;
|
|
|
|
|
i = z.i;
|
|
|
|
|
}
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|