|
|
@ -1,4 +1,5 @@
|
|
|
|
#include <iostream>
|
|
|
|
#include <iostream>
|
|
|
|
|
|
|
|
#include <string>
|
|
|
|
|
|
|
|
|
|
|
|
using namespace std;
|
|
|
|
using namespace std;
|
|
|
|
|
|
|
|
|
|
|
@ -22,38 +23,81 @@ class fraction {
|
|
|
|
|
|
|
|
|
|
|
|
return gcd(a, b-a);
|
|
|
|
return gcd(a, b-a);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
int get_precision(double a) {
|
|
|
|
|
|
|
|
string s = to_string(a);
|
|
|
|
|
|
|
|
bool dec = false;
|
|
|
|
|
|
|
|
int count = 0;
|
|
|
|
|
|
|
|
for(int i = 0; i < s.length(); i++) {
|
|
|
|
|
|
|
|
if(s[i] == '.') {
|
|
|
|
|
|
|
|
dec = true;
|
|
|
|
|
|
|
|
} else {
|
|
|
|
|
|
|
|
if(dec) {
|
|
|
|
|
|
|
|
count++;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
return count;
|
|
|
|
|
|
|
|
}
|
|
|
|
public:
|
|
|
|
public:
|
|
|
|
// Constructors
|
|
|
|
// Constructors
|
|
|
|
|
|
|
|
fraction() {
|
|
|
|
|
|
|
|
n = 0;
|
|
|
|
|
|
|
|
d = 1;
|
|
|
|
|
|
|
|
}
|
|
|
|
fraction(int a, int b) {
|
|
|
|
fraction(int a, int b) {
|
|
|
|
int hcf = gcd(a,b);
|
|
|
|
int hcf = gcd(a,b);
|
|
|
|
n = a / hcf;
|
|
|
|
n = a / hcf;
|
|
|
|
d = b / hcf;
|
|
|
|
d = b / hcf;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
fraction(int a) {
|
|
|
|
|
|
|
|
n = a;
|
|
|
|
|
|
|
|
d = 1;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
fraction(double dec) {
|
|
|
|
|
|
|
|
int precision = get_precision(dec);
|
|
|
|
|
|
|
|
int denominator = 1;
|
|
|
|
|
|
|
|
for(int i = 0; i < precision; i++) {
|
|
|
|
|
|
|
|
denominator *= 10;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
int numerator = dec * denominator;
|
|
|
|
|
|
|
|
int hcf = gcd(numerator,denominator);
|
|
|
|
|
|
|
|
n = numerator / hcf;
|
|
|
|
|
|
|
|
d = denominator / hcf;
|
|
|
|
|
|
|
|
}
|
|
|
|
fraction(const fraction &q) {
|
|
|
|
fraction(const fraction &q) {
|
|
|
|
int hcf = gcd(q.n,q.d);
|
|
|
|
int hcf = gcd(q.n,q.d);
|
|
|
|
n = q.n / hcf;
|
|
|
|
n = q.n / hcf;
|
|
|
|
d = q.d / hcf;
|
|
|
|
d = q.d / hcf;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
// Member functions
|
|
|
|
|
|
|
|
bool sign() const {
|
|
|
|
|
|
|
|
return (n >= 0);
|
|
|
|
|
|
|
|
}
|
|
|
|
// Operators
|
|
|
|
// Operators
|
|
|
|
fraction operator+(const fraction &that) {
|
|
|
|
fraction operator+(const fraction &that) const {
|
|
|
|
int numerator = this->n * that.d + that.n * this->d;
|
|
|
|
int numerator = this->n * that.d + that.n * this->d;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
return q;
|
|
|
|
return q;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
fraction operator-(const fraction &that) {
|
|
|
|
fraction operator-(const fraction &that) const {
|
|
|
|
int numerator = this->n * that.d - that.n * this->d;
|
|
|
|
int numerator = this->n * that.d - that.n * this->d;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
return q;
|
|
|
|
return q;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
fraction operator*(const fraction &that) {
|
|
|
|
fraction operator*(const fraction &that) const {
|
|
|
|
int numerator = this->n * that.n;
|
|
|
|
int numerator = this->n * that.n;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
int denominator = this->d * that.d;
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
fraction q(numerator, denominator);
|
|
|
|
return q;
|
|
|
|
return q;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
fraction operator/(const fraction &that) {
|
|
|
|
fraction operator*(const int i) const {
|
|
|
|
|
|
|
|
fraction a(i);
|
|
|
|
|
|
|
|
fraction q(*this * a);
|
|
|
|
|
|
|
|
return q;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
fraction operator/(const fraction &that) const {
|
|
|
|
fraction a(this->n,this->d);
|
|
|
|
fraction a(this->n,this->d);
|
|
|
|
fraction b(that.d,that.n);
|
|
|
|
fraction b(that.d,that.n);
|
|
|
|
return a * b;
|
|
|
|
return a * b;
|
|
|
@ -61,9 +105,53 @@ class fraction {
|
|
|
|
friend ostream &operator<<( ostream &os, const fraction &q ) {
|
|
|
|
friend ostream &operator<<( ostream &os, const fraction &q ) {
|
|
|
|
if( q.d == q.n) {
|
|
|
|
if( q.d == q.n) {
|
|
|
|
os << 1;
|
|
|
|
os << 1;
|
|
|
|
|
|
|
|
} else if(q.d == 1) {
|
|
|
|
|
|
|
|
os << q.n;
|
|
|
|
} else {
|
|
|
|
} else {
|
|
|
|
os << q.n << '/' << q.d;
|
|
|
|
os << q.n << '/' << q.d;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
return os;
|
|
|
|
return os;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void operator=(const fraction &q ) {
|
|
|
|
|
|
|
|
n = q.n;
|
|
|
|
|
|
|
|
d = q.n;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
void operator=(const int i ) {
|
|
|
|
|
|
|
|
n = i;
|
|
|
|
|
|
|
|
d = 1;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
void operator=(const double dec ) {
|
|
|
|
|
|
|
|
const fraction q(dec);
|
|
|
|
|
|
|
|
*this = q;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator>(const fraction &q ) const {
|
|
|
|
|
|
|
|
int hcf = gcd(d,q.d);
|
|
|
|
|
|
|
|
fraction a(*this * hcf);
|
|
|
|
|
|
|
|
fraction b(q * hcf);
|
|
|
|
|
|
|
|
return (a.n > b.n);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator>(const int i ) const {
|
|
|
|
|
|
|
|
fraction q(i);
|
|
|
|
|
|
|
|
return (*this > q);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator==(const fraction &q ) const {
|
|
|
|
|
|
|
|
return ((n == q.n) && (d == q.d));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator==(const int i) const {
|
|
|
|
|
|
|
|
return ((n == i) && (d == 1));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator==(const double dec) const {
|
|
|
|
|
|
|
|
fraction a(dec);
|
|
|
|
|
|
|
|
return ((n == a.n) && (d == a.d));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator!=(const fraction &q ) const {
|
|
|
|
|
|
|
|
return ((n != q.n) || (d != q.d));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator!=(const int i) const {
|
|
|
|
|
|
|
|
return ((n != i) || (d != 1));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
bool operator!=(const double dec) const {
|
|
|
|
|
|
|
|
fraction a(dec);
|
|
|
|
|
|
|
|
return ((n != a.n) || (d != a.d));
|
|
|
|
|
|
|
|
}
|
|
|
|
};
|
|
|
|
};
|
|
|
|