Complete the function definitions in scala for creating and manipulating Rational Numbers. You will represent a rational number as a pair of integers in reduced form, i. e. the rational number 3/9 will be reduced to 1/3 and stored as (1,3). Also, if the rational number is positive, neither the numerator nor the denominator should be stored as negative and if the rational number is negative then you will store only the numerator as negative. Use the following templates. You should add additional test cases in Driver. scala. Submit just Rational. scala. We will use our own Driver. scala while grading. Rational. scala
import scala. math. abs
object Rational {
type Rational = (Int, Int)
def makeRational(n:Int, d:Int): Rational = ???
def numer(r:Rational):Int = ???
def denom(r:Rational):Int = ???
def addRational(r1:Rational, r2:Rational): Rational = ???
def subRational(r1:Rational, r2:Rational): Rational = ???
def mulRational(r1:Rational, r2:Rational): Rational = ???
def divRational(r1:Rational, r2:Rational): Rational = ???
def equalRational(r1:Rational, r2:Rational): Boolean = ???
def to_string(r: Rational): String = ???
def printRational(r: Rational): Unit = ???
}
Driver. scala
object Driver extends App {
import Rational._
val r0 = makeRational(1,0)
val r1 = makeRational(-1,3)
val r2 = makeRational(-1,-3)
println(to_string(addRational(r1,r2 )))