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91 lines
2.2 KiB
91 lines
2.2 KiB
#pragma once
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#include "../fractions/fractions.hpp"
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#include <iostream>
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using namespace std;
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class cnumber {
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private:
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fraction r, i;
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public:
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// Constructor
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cnumber(const cnumber &z) {
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r = z.r;
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i = z.i;
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}
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cnumber(const fraction &a, const fraction &b) {
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r = a;
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i = b;
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}
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cnumber(int a, int b) {
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r = a;
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i = b;
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}
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cnumber(double a, double b) {
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r = a;
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i = b;
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}
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// Member functions
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cnumber conjugate() const {
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fraction a(this->r.get_n(), this->r.get_d());
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fraction b(this->i.get_n(), this->i.get_d());
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cnumber z(a, b * -1);
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return z;
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}
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// Operators
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cnumber operator+(const cnumber &that) const {
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cnumber z(this->r + that.r, this->i + that.i);
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return z;
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}
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cnumber operator-(const cnumber &that) const {
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cnumber z(this->r - that.r, this->i - that.i);
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return z;
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}
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cnumber operator*(const cnumber &that) const {
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cnumber z((that.r * this->r) - (that.i * this->i),
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(that.r * this->i) + (this->r * that.i));
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return z;
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}
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cnumber operator*(const fraction &q) const {
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cnumber that(q, fraction(0));
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return *this * that;
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}
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cnumber operator/(const cnumber &that) const {
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cnumber numerator((this->r * that.r) - (this->i * (that.i * -1)),
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(this->r * (that.i * -1)) + (that.r * this->i));
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cnumber denominator((that.r * that.r) - (that.i * (that.i * -1)),
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(that.r * (that.i * -1)) + (that.r * that.i));
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cnumber ratio(numerator.r / denominator.r, numerator.i / denominator.r);
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return ratio;
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}
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friend ostream &operator<<(ostream &os, const cnumber &z) {
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if (z.r != 0) {
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os << z.r;
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if ((z.i.get_sign() == 1) && (z.i > 0)) {
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os << '+';
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}
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}
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if (z.i != 0) {
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if ((z.i != 1) && (z.i != -1)) {
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os << z.i;
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} else if (z.i == -1) {
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os << '-';
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}
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os << 'i';
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}
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if (z.r == 0 && z.i == 0) {
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os << '0';
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}
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return os;
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}
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void operator=(const cnumber &z) {
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r = z.r;
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i = z.i;
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}
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const bool operator==(const cnumber &z) const { return r == z.r && i == z.i; }
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const bool operator!=(const cnumber &z) const { return r != z.r || i != z.i; }
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};
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