Curried functions and partially applied functions

	package functions
	import scala.math.pow
	object CurriedFunctionDemo {
	/**
	* A partially applied function is a function where some of its arguments have
	* already been filled in.
	*/
	//a*x^2 + b*x + c
	def nonCurriedFormula(a:Int, b: Int, c:Int, x: Int): Double = a * pow(x, 2) + b * x + c
	//a*x^2 + b*x + c
	def curriedFormula(a:Int)(b:Int)(c:Int)(x:Int): Double = a * pow(x, 2) + b * x + c
	def main(args: Array[String]): Unit = {
	//3*x^2 + 4*x +5
	val formula1 = curriedFormula(3)(4)(5)(_)
	println(formula1(1)) //should print 12
	println(formula1(2)) //should print 25
	println(nonCurriedFormula(3,4,5,2)) //should print 25
	val nonCurriedToCurried = (nonCurriedFormula _).curried
	val formula2 = nonCurriedToCurried(3)(4)(5)
	println(formula2(1)) //should print 12
	}
	}
	/** output console
	12.0
	25.0
	25.0
	12.0
	**/

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