Rational Rational::operator*(const Rational & n) //overwriting operator
{
Rational temp {(n.top * top), (n.bottom * bottom)};
temp.reduce();
return temp;;
}
//分数减法
Number *Rational::sub(Number *number2)
{
Rational *tmp = SCAST_RATIONAL(number2);
Rational *result = new Rational();
result->numerator_ = numerator_*tmp->denominator_ - denominator_*tmp->numerator_;
result->denominator_ = denominator_ * tmp->denominator_;
result->reduce();//最后要进行约分
return result;
}
Number *Rational::sub(Number *number2)
{
Rational *tmp = SCAST_RATIONAL(number2);
Rational *result = new Rational();
result->num_ = num_*tmp->den_ - den_*tmp->num_;
result->den_ = den_ * tmp->den_;
result->reduce();
return result;
}
Rational Rational::operator-(const Rational & b) //overwriting operator
{
int ntop;
int nbottom;
nbottom = (bottom * b.bottom);
ntop = (b.bottom * top) - (bottom * b.top);
Rational temp {ntop,nbottom};
temp.reduce();
return temp;
}
Number *Rational::div(Number *number2)
{
Rational *tmp = SCAST_RATIONAL(number2);
assert( tmp->num_!=ZERO_ && "divided by zero");
Rational *result = new Rational();
result->num_ = num_ * tmp->den_;
//cout<<result->num_<<endl;
result->den_ = den_ * tmp->num_;
//cout<<result->den_<<endl;
result->reduce();
return result;
}
Rational Rational::operator=(const Rational & n)
{
Rational temp {(top = n.top), (bottom = n.bottom)};
temp.reduce();
return temp;
}
Rational Rational::operator/(const Rational & n) //overwriting operator
{
Rational temp {(top * n.bottom),( bottom * n.top)};
temp.reduce();
return temp;
}
int main()
{
Rational p; // p uses the default constructor
Rational q(1, 2); // q uses the other constructor
Rational b(1); // uses constructor to initialize numerator and defaults the denominator to 1
cout << b << endl;
p.setNumerator(1); // set p to be 1/4
p.setDenominator(4);
p= p + q;
p= p * q;
//print out p and q
p.streamInsert(cout);
cout << "p is " << p.getNumerator() << "/" << p.getDenominator() << endl;
cout << "q is " << q.getNumerator() << "/" << q.getDenominator() << endl;
Rational r;
Rational s;
cout << "Enter a rational number (a/b): ";
cin >> r;
cout << "Enter a rational number (a/b): ";
cin >> s;
cout << "You entered the rational numbers " << r << " and " << s << endl;
//Confirm +,-,*, and / works with rationals.
Rational sum = r + s;
Rational product = r * s;
Rational difference = r - s;
Rational divide = r/s;
// Test greater than, greater than or equal to, and isEqual
cout << "Changing value of r and s..." << endl;
r.setNumerator(3);
r.setDenominator(4);
s.setNumerator(1);
s. setDenominator(4);
if (r >= s)
{
cout << r << " is greater than or equal to " << s << endl;
if (r > s)
{
cout << "okay..." << r << " is actually greater than " << s << endl;
}
else if (r== s)
{
cout << "okay..." << r << " is actually equal to " << s << endl;
}
}
else
{
cout << "Oops, I enter an incorrect rational to test greater than or equal to!" << endl;
}
// Test less than, less than or equal to, and isEqual(again)
cout << "Changing value of r and s again..." << endl;
r.setNumerator(1);
r.setDenominator(4);
s.setNumerator(3);
s. setDenominator(4);
if (r <= s)
{
cout << r << " is less than or equal to " << s << endl;
if (r < s)
{
cout << "okay..." << r << " is actually less than " << s << endl;
}
else if (r== s)
{
cout << "okay..." << r << " is actually equal to " << s << endl;
}
}
else
{
cout << "Oops, I enter an incorrect rational to test less than or equal to!" << endl;
}
// Test the ability to cout new ADT.
cout << r << " + " << s << " = " << sum << endl;
cout << r << " * " << s << " = " << product << endl;
cout << r << " - " << s << " = " << difference << endl;
cout << r << " / " << s << " = " << divide << endl;
// Test cloning or coping Rational ADT
Rational t(s);
double tFloat = t.convertToFloatingPoint();
cout << "s copied the rational " << s << " to t " << t << "." << endl;
cout << "t in decimal equals: " << tFloat << endl;
// Test reducing rational **extra credit***
r.setNumerator(12);
r.setDenominator(4);
s.setNumerator(6);
s. setDenominator(8);
r.reduce();
s.reduce();
cout << "r is now reduced to " << r << endl;
cout << "s is now reduced to " << s << endl;
cin.ignore();
cin.get();
return 0;
}
