C++ A rational number is of the form a/b, where a and b are integers, and...
C++ A rational number is of the form a/b, where a and b are integers, and b is not equal 0. Develop and test a class for processing rational numbers.Pointers aren't needed and it should be able to handle all of these examples and more. Its supposed to accept a rational number dynamically in the form of "a/b" and tell you the result.
Details:
- Your program should have 3 files: a driver file to test the operations, a header file for the class definition and any operator overloads you need, and an implementation file with the definitions of the items in the header file.
- The class should read and display all rational numbers in the form a/b,
- The operations that should be implemented for the rational numbers are
- except when b is 1, then it should just display a
-
or when b is 0, then it should display #div0
-
Operator
Example
Result
Addition
3/9 + 1/7
10/21
Subtraction
3/9*1/7
4/21 Multiplication
3/8 * 1/6
1/16
Division
3/8 / 1/6
9/4
Invert
2/4 I
4/2
Mixed fraction
8/3 M
2 and 2/3
Reduce
18/24 R
3/4
Less than
1/6 < 3/8
True
Less than or equal to
1/6 <= 3/8
True
Greater Than
1/6 > 3/8
False
Greater than or equal
1/6 >= 3/8
False
Equal to
3/8 == 9/24
True
- The arithmetic operators must be overloaded to work with the class
- The class must have
- At least 2 private member variables, numerator and denominator
- At least 4 public member functions
- getNu(), getDe(), setNu(value), setDe(value)
Homework Answers
Code
RationalNumber.h
#ifndef RATIONALNUMBER
#define RATIONALNUMBER
#include <iostream>
using namespace std;
class RationalNum {
friend RationalNum operator+(const RationalNum& left, const RationalNum& right);
friend RationalNum operator-(const RationalNum& left, const RationalNum& right);
friend RationalNum operator*(const RationalNum& left, const RationalNum& right);
friend RationalNum operator/(const RationalNum& left, const RationalNum& right);
friend bool operator==(const RationalNum& left, const RationalNum& right);
friend bool operator!=(const RationalNum& left, const RationalNum& right);
friend bool operator<(const RationalNum& left, const RationalNum& right);
friend bool operator>(const RationalNum& left, const RationalNum& right);
friend bool operator<=(const RationalNum& left, const RationalNum& right);
friend bool operator>=(const RationalNum& left, const RationalNum& right);
friend ostream& operator<<(ostream& out, const RationalNum& obj);
friend istream& operator>>(istream& in, RationalNum& obj);
public:
RationalNum();
RationalNum(double x);
RationalNum(int numerator_, int denominator_ = 1);
RationalNum& operator=(const RationalNum& obj);
RationalNum& operator+=(const RationalNum& obj);
RationalNum& operator-=(const RationalNum& obj);
RationalNum& operator*=(const RationalNum& obj);
void invert();
void setNumerator(int numerator_);
void Mixedfraction();
int getNumerator() const;
void setDenominator(int denominator_);
int getDenominator() const;
private:
int numerator;
int denominator;
void simplify();
};
#endif
RationalNumber.cpp
#include "RationalNumber.h"
#include <iostream>
#include <string>
#include <cmath>
#include <vector>
#include <limits.h>
using namespace std;
int absInt(int x) {
if (x >= 0) {
return x;
}
else {
return -x;
}
}
void getFactors (int num, vector<int>& factorSet) {
if (num != 1) {
factorSet.push_back(num);
}
for (int i = 2; i <= sqrt( static_cast<double>(num) ); i++) {
if (num%i == 0) {
factorSet.push_back(i);
factorSet.push_back(num/i);
}
}
}
void simplifyFun(int& a, int& b) {
int tempN = a;
int tempD = b;
int small, temp;
vector<int> factorSet;
if (tempN == tempD) {
a = 1;
b = 1;
return ;
}
else if (tempN == -tempD) {
a = -1;
b = 1;
return ;
}
else if (tempN == 0) {
b = 1;
return ;
}
if (absInt(tempN) < absInt(tempD)) {
small = absInt(tempN);
}
else {
small = absInt(tempD);
}
getFactors(small, factorSet);
for (int i = 0; i < factorSet.size(); i++) {
temp = factorSet[i];
while (tempN%temp == 0 && tempD%temp == 0) {
tempN /= temp;
tempD /= temp;
}
}
a = tempN;
b = tempD;
}
//friend functions definitions
RationalNum operator+(const RationalNum& left, const RationalNum& right) {
RationalNum temp;
int tempLD = left.getDenominator();
int tempRD = right.getDenominator();
simplifyFun(tempLD, tempRD);
temp.setDenominator(left.getDenominator()*tempRD);
temp.setNumerator(left.getNumerator()*tempRD+right.getNumerator()*tempLD);
temp.simplify();
return temp;
}
RationalNum operator-(const RationalNum& left, const RationalNum& right) {
return left+((-1)*right);
}
RationalNum operator*(const RationalNum& left, const RationalNum& right) {
RationalNum temp;
RationalNum temp_2(right.getNumerator(),left.getDenominator());
RationalNum temp_3(left.getNumerator(),right.getDenominator());
int a = temp_2.getDenominator();
int b = temp_2.getNumerator();
int c = temp_3.getDenominator();
int d = temp_3.getNumerator();
temp.setNumerator(b*d);
temp.setDenominator(a*c);
return temp;
}
RationalNum operator/(const RationalNum& left, const RationalNum& right) {
RationalNum temp_1(left.getNumerator(),left.getDenominator());
RationalNum temp_2(right.getDenominator(),right.getNumerator());
return temp_1*temp_2;
}
bool operator==(const RationalNum& left, const RationalNum& right) {
return (left.numerator == right.numerator && left.denominator == right.denominator);
}
bool operator!=(const RationalNum& left, const RationalNum& right) {
return !(left == right);
}
bool operator<(const RationalNum& left, const RationalNum& right) {
int lside = left.getNumerator()*right.getDenominator();
int rside = left.getDenominator()*right.getNumerator();
return (lside < rside);
}
bool operator>(const RationalNum& left, const RationalNum& right) {
int lside = left.getNumerator()*right.getDenominator();
int rside = left.getDenominator()*right.getNumerator();
return (lside > rside);
}
bool operator<=(const RationalNum& left, const RationalNum& right) {
return ( (left < right) || (left == right) );
}
bool operator>=(const RationalNum& left, const RationalNum& right) {
return ( (left > right) || (left == right) );
}
ostream& operator<<(ostream& out, const RationalNum& obj) {
out << obj.numerator;
if (obj.numerator != 0 && obj.denominator != 1) {
out << "/" << obj.denominator;
}
return out;
}
istream& operator>>(istream& in, RationalNum& obj) {
string inputstr;
int num = 0;
int sign = 1;
bool slashExist = false;
bool dotExist = false;
bool validInput = true;
int virtualDenominator = 1;
cin >> inputstr;
for (int i = 0; i < inputstr.size(); i++) {
char temp = inputstr[i];
if (temp == '.') {
if (dotExist == false && slashExist == false && i != 0) {
dotExist = true;
}
else {
validInput = false;
break;
}
}
else if (temp == '/') {
if (dotExist == false && slashExist == false && i != 0) {
slashExist = true;
obj.setNumerator(sign*num);
num = 0;
sign = 1;
}
else {
validInput = false;
break;
}
}
else if (temp == '-') {
if (i == 0){
sign = -sign;
}
else if (inputstr[i-1] == '/') {
sign = -sign;
}
else {
validInput = false;
break;
}
}
else if (temp <= '9' && temp >= '0') {
if (dotExist) {
if (virtualDenominator > INT_MAX/10) {
cout << "this frational is too long to handle.";
validInput = false;
break;
}
else {
virtualDenominator *= 10;
}
}
if (num > INT_MAX/10) {
cout << "this number is too long to handle.";
validInput = false;
break;
}
num *= 10;
num += inputstr[i]-'0';
}
else {
validInput = false;
break;
}
}
if (validInput == false) {
obj.setNumerator(0);
obj.setDenominator(1);
cout << "Input is not valid! The whole set to 0" << endl;
}
else {
if (slashExist == true) {
obj.setDenominator(sign*num);
}
else if (dotExist) {
obj.setNumerator(sign*num);
obj.setDenominator(virtualDenominator);
}
else {
obj.setNumerator(sign*num);
obj.setDenominator(1);
}
}
obj.simplify();
return in;
}
//member function definition
RationalNum::RationalNum() {
setNumerator(0);
setDenominator(1);
}
RationalNum::RationalNum(double x) {
int i = 1;
while (x*i-static_cast<int>(x*i) != 0) {
if (i > INT_MAX/10) {
cout << "this frational number : " << x << " can not be transfer to rational number, it's too long, now set it 0." << endl;
setNumerator(0);
setDenominator(1);
return ;
}
else {
i *= 10;
}
}
setNumerator(x*i);
setDenominator(i);
simplify();
}
RationalNum::RationalNum(int numerator_, int denominator_) {
setNumerator(numerator_);
setDenominator(denominator_);
simplify();
}
RationalNum& RationalNum::operator=(const RationalNum& obj) {
setNumerator(obj.getNumerator());
setDenominator(obj.getDenominator());
return *this;
}
RationalNum& RationalNum::operator+=(const RationalNum& obj) {
*this = *this+obj;
return *this;
}
RationalNum& RationalNum::operator-=(const RationalNum& obj) {
*this = *this-obj;
return *this;
}
RationalNum& RationalNum::operator*=(const RationalNum& obj) {
*this = *this*obj;
return *this;
}
void RationalNum::setNumerator(int numerator_) {
numerator = numerator_;
}
int RationalNum::getNumerator() const {
return numerator;
}
void RationalNum::setDenominator(int denominator_) {
if (denominator_ == 0) {
denominator = 1;
numerator = 0;
cout << "Denominator is 0! Not good! THe whole is set to 0." << endl;
}
else {
denominator = denominator_;
}
}
int RationalNum::getDenominator() const {
return denominator;
}
void RationalNum::invert()
{
RationalNum r(this->getDenominator(),this->getNumerator());
cout<<r;
}
void RationalNum::Mixedfraction()
{
int qau=this->numerator/this->denominator;
int rem=this->numerator%this->denominator;
cout<<qau<<" and "<<RationalNum(rem,this->denominator)<<endl;;
}
void RationalNum::simplify() {
int tempN = numerator;
int tempD = denominator;
simplifyFun(tempN,tempD);
setNumerator(tempN);
setDenominator(tempD);
}
test.cpp
#include"RationalNumber.h"
using namespace std;
int main()
{
RationalNum r1(3,9);
RationalNum r2(1,7);
cout<<r1<<" + "<<r2<<" = " << r1 + r2<<endl<<endl;;
cout<<r1<<" - "<<r2<<" = " << r1 + r2<<endl<<endl;
RationalNum r3(3,8);
RationalNum r4(1,6);
cout<<r3<<" * "<<r4<<" = " << r3 * r4<<endl<<endl;;
cout<<r3<<" / "<<r4<<" = " << r3 / r4<<endl<<endl;;
RationalNum r8(8,3);
cout<<r8<<" M = ";
r8.Mixedfraction();
cout<<"\n";
cout<<r8<<"I ";r8.invert();
cout<<endl;
cout<<"\n";
RationalNum r5(1,6);
RationalNum r6(3,8);
if(r5<r6)
cout<<r5<<"<"<<r6<<":True"<<endl<<endl;
else
cout<<r5<<"<"<<r6<<":False"<<endl<<endl;
if(r5<=r6)
cout<<r5<<"<="<<r6<<":True"<<endl<<endl;
else
cout<<r5<<"<="<<r6<<":False"<<endl<<endl;
if(r5>r6)
cout<<r5<<">"<<r6<<":True"<<endl<<endl;
else
cout<<r5<<">"<<r6<<":False"<<endl<<endl;
if(r5>=r6)
cout<<r5<<">="<<r6<<":True"<<endl<<endl;
else
cout<<r5<<">="<<r6<<":False"<<endl<<endl;
RationalNum r7(9,24);
if(r3==r7)
cout<<r3<<"=="<<r7<<":True"<<endl<<endl;
else
cout<<r3<<"=="<<r7<<":Flase"<<endl<<endl;
return 0;
}
output
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Add Answer to:
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