Rational Library Static header for C++.
The library allows to use rational numbers in your project. The number does not reduce itself to simplest form automatically. It has to be simplified when and where required using the inbuilt function.
The rational class uses intmax_t as the base data type for storing numerator and denominator.
The constructor can be called using any of the fundamental integer types as numerator or denominator.
rational r; // Constructs with value of 1/1rational r(3,4); // Constructs with value of 3/4rational r(3); // Constructs with value of 3/1rational r('a',3); // Constructs with value of 97/3 (ASCII value of 'a' is 97)
The class supports arithmatic and relational operators.
- Shorthand Assignment Operators
+=, -=, *=, /= - Arithmatic Operators
+, -, *, / - Relational Operators
<, <=, >, >=, ==, !=
The operands can be both rational or fundamental integer types.
The input and output stream operators are also overloaded for ease of use.
cin >> a >> b; // a and b are two rational objectscout << a << b; // a and b are two rational objects
The intput format is x/y (3/4), if the denominator is not specified it is assumed to be 1.
The output format is also similar x/y (3/4).
Other member functions of the class.
- GCD function
int gcd = r.GCD(); // Returns the GCD of the number - Simplify function for normalizing
r.simplify(); // 6/8 is simplified to 3/4 - Set function for in place setting
r.set(3,4); // sets the value of r to 3/4 - num for getting the value of numerator
int num = r.num(); // returns the value of numerator - den for getting the value of denominator
int den = r.den(); // returns the value of denominator
Other functions defined as utility for the class.
- abs for absolute
a = abs(b); // -3/4 returns 3/4