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#include <iostream>
using namespace std;
class cnumber {
private:
int r, i;
bool signr, signi;
bool get_sign(int i) {
return (i >= 0);
}
public:
// Constructor
cnumber(int a, int b) {
r = a;
i = b;
signr = get_sign(r);
signi = get_sign(i);
}
// Member functions
cnumber conjugate() {
cnumber z(this->r, this->i * -1);
return z;
}
// Operators
cnumber operator+(const cnumber &that) {
cnumber z(this->r + that.r, this->i + that.i);
return z;
}
cnumber operator-(const cnumber &that) {
cnumber z(this->r - that.r, this->i - that.i);
return z;
}
cnumber operator*(const cnumber &that) {
cnumber z( (that.r * this->r ) - (that.i * this->i) , (that.r * this->i) + (this->r * that.i) );
return z;
}
friend ostream &operator<<( ostream &os, const cnumber &z ) {
if (z.r != 0) {
os << z.r;
if (z.signi && (z.i != 0)) {
os << '+';
}
}
if (z.i != 0) {
if ((z.i != 1) && (z.i != -1)) {
os << z.i;
}
else {
if (! z.signi) {
os << '-';
}
}
os << 'i';
}
return os;
}
void operator=(const cnumber &z ) {
r = z.r;
i = z.i;
signr = z.signr;
signi = z.signi;
}
};