CPlusPlusClasses/Rational/Rational.cpp

#include "Rational.h"
#include <iostream>
#include <cmath>

using namespace std;

int max(int a, int b) {
	if (a >= b)
		return a;
	return b;
}
int min(int a, int b) {
	if (a <= b)
		return a;
	return b;
}






Rational::Rational() {
	Chisl = 0;
	Znam = 1;
	sign = 0;
}

Rational::Rational(int _x) {
	Chisl = _x;
	Znam = 1;
	sign = _x < 0;
}

Rational::Rational(int _x, int _y) {
	sign = !((_x >=0 && _y >= 0) || (_x<0 && _y<0));
	Chisl = _x>=0 ? _x:-_x;
	Znam = _y>=0 ?_y:-_y;
	;
	socr();
}

Rational::Rational(double _x) {

	//0x10000000000000
	unsigned long long int bits = *(unsigned long long int*)(&_x);
	sign = bits >> 63;
	long long int mant = (bits & 0xFFFFFFFFFFFFF) | 0x10000000000000;
	long long exp = (bits >> 52) & 0x7ff;
	exp -= 1075;

	//cout << hex << sign << '\t' << hex << mant << '\t' << hex << exp << '\t' << dec << bits << '\t' << hex  << bits << '\n';

	long long t = ((long long int)1 << 52);
	//cout <<hex << t;
	long long num, denum;
	Chisl = mant;
	Znam = (pow(2,-exp));
	socr();
}


//ñîêðàùåíèå
void
Rational::socr() {
	sign = (!((Chisl >= 0 && Znam >= 0) || (Chisl < 0 && Znam < 0)))||sign;
	Chisl = Chisl >= 0 ? Chisl : -Chisl;
	Znam = Znam >= 0 ? Znam : -Znam;
	long long a, b,zero=0;
	a = Chisl;
	b = Znam;
	
	int end = 0;
	while (a != zero && b != zero && end!= INT_MAX) {
		//end++;
		if (a > b) {
			a %= b;
		}
		else
			b %= a;
	}
	if (end != INT_MAX) {
		Chisl /= (a + b);
		Znam /= (a + b);
	}
}

//êîðåíü
const double
Rational::root() {
	return sqrt(Chisl) / sqrt(Znam);
}



//îïåðàòîðû ôîðìàòà *=
const Rational&
Rational::operator += (const Rational& r) {
	long long obsh_znam = Znam * r.Znam;
	long long mod1, mod2;
	mod1 = sign ? -1 : 1;
	mod2 = r.sign ? -1 : 1;
	Chisl = Chisl * r.Znam * mod1 + r.Chisl * Znam * mod2;
	Znam = obsh_znam;

	sign = Chisl < 0;

	socr();
	return *this;


}

const Rational&
Rational::operator -= (const Rational& r) {
	long long obsh_znam = Znam * r.Znam;
	long long mod1, mod2;
	mod1 = sign ? -1 : 1;
	mod2 = r.sign ? -1 : 1;
	Chisl = Chisl * r.Znam * mod1 - r.Chisl * Znam * mod2;
	Znam = obsh_znam;

	sign = (Chisl < 0);

	Chisl = Chisl >= 0 ? Chisl : -Chisl;

	socr();
	return *this;


}

const Rational&
Rational::operator*=(const Rational& r) {
	Chisl = Chisl * r.Chisl;
	Znam = Znam * r.Znam;

	sign = !(sign == r.sign);
	socr();
	return *this;
}

const Rational&
Rational::operator/=(const Rational& r) {
	Chisl = Chisl * r.Znam;
	Znam = Znam * r.Chisl;

	sign = !(sign == r.sign);
	socr();
	return *this;
}



//ñðàâíåíèå
const bool&
Rational::operator < (const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;
	r1.Chisl *= r2.Znam;
	r2.Chisl *= r1.Znam;
	return r1.Chisl < r2.Chisl;
}

const bool&
Rational::operator > (const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;
	r1.Chisl *= r2.Znam;
	r2.Chisl *= r1.Znam;
		return r1.Chisl > r2.Chisl;
}

const bool&
Rational::operator >= (const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;

	return !(r1 < r2);
}

const bool&
Rational::operator<=(const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;

	return !(r1 > r2);
}

const bool&
Rational::operator==(const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;
	r1.Chisl *= r2.Znam;
	r2.Chisl *= r1.Znam;
	return r1.Chisl == r2.Chisl;
}

const bool&
Rational::operator!=(const Rational& r) {
	Rational r1 = *this;
	Rational r2 = r;

	return !(r1 == r2);
}






//ñëîæåíèå óìíîæåíèå
const Rational& 
Rational::operator + (const Rational& r1) {
	Rational res = *this;
	res += r1;
	return res;
}

const Rational&
Rational::operator - (const Rational& r1) {
	Rational res = *this;
	res -= r1;
	return res;
}

const Rational&
Rational::operator * (const Rational& r1) {
	Rational res = *this;
	res *= r1;
	return res;
}

const Rational&
Rational::operator / (const Rational& r1) {
	Rational res = *this;
	res /= r1;
	return res;
}




//ñ äðóãèì òèïîì ïåðåìåííûõ
const Rational&
Rational::operator *= (const int& r) {
	Chisl *= r;
	socr();
	return *this;
}

const Rational&
Rational::operator/=(const int& r) {
	Znam *= r;
	socr();
	return *this;
}

const Rational&
Rational::operator+=(const int& r) {
	Rational  r_t = Rational(r);
	*this += r_t;
	return *this;
}

const Rational&
Rational::operator-=(const int& r) {
	Rational  r_t = Rational(r);
	*this -= r_t;
	return *this;
}



const Rational&
Rational::operator * ( const int& i) {
	Rational res = *this;
	res *= i;
	return res;
}

const Rational&
Rational::operator + (const int& i) {
	Rational res = *this;
	res += i;
	return res;
}

const Rational&
Rational::operator - (const int& i) {
	Rational res = *this;
	res -= i;
 	return res;
}

const Rational&
Rational::operator / (const int& i) {
	Rational res = *this;
	res /= i;
	return res;
}




istream&
operator >>(istream& is, Rational& r) {
	char input[10000];
	r.Chisl = 0;
	r.Znam = 1;
	r.sign = false;
	is >> input;
	int splitter = 0;
	bool checker;
	while (input[splitter] != '/' && input[splitter]) {
		splitter++;
	}
	checker = input[splitter] != '/';
	int dec = 1;
	for (int i = splitter - 1; i >= 0; i--) {
		if (input[i] != '-')
			r.Chisl += (input[i] - 48) * dec;
		else {
			r.sign = !r.sign;
		}
		dec *= 10;
	}
	if (!checker) {
		while (input[splitter])
			splitter++;
		dec = 1;
		r.Znam = 0;
		for (int i = splitter - 1; input[i] != '/'; i--) {
			if (input[i] != 45)
				r.Znam += (input[i] - 48) * dec;
			else{
				r.sign = !r.sign;
			}
			dec *= 10;
		}
	}

	r.socr();
	return is;
}

ostream&
operator <<(ostream& os, Rational& r) {
	if (r.Chisl % r.Znam == 0)
		return os << "\n  " << r.Chisl << '/' << r.Znam << "\n";

	double len_max = log10((double)max(r.Chisl, r.Znam));
	for (int i = 0; i < (int)(len_max - log10(r.Chisl)) / 2; i++) {
		os << " ";
	}
	os << "  " << r.Chisl << endl;


	if (r.sign)
		os << '-' << ' ';
	else
		os << "  ";
	for (int i = 0; i < len_max; i++) {
		os << "=";
	}
	os << endl << "  ";
	for (int i = 0; i < (int)(len_max - log10(r.Znam)) / 2; i++) {
		os << " ";
	}
	os << r.Znam;
	return os;

}