class Rozniczki {
def metodaTaylora(p:Int,x:Array[Double],y:Array[Double]): Unit = {
  val y1: Array[Double] = new Array[Double](6)
  val y2: Array[Double] = new Array[Double](5)
  val y3: Array[Double] = new Array[Double](4)
  val y4: Array[Double] = new Array[Double](3)
  val y5: Array[Double] = new Array[Double](2)
  val y6: Array[Double] = new Array[Double](1)
  var tmp:Double = 0
  var fx:Double = 0
  println()
  for(i<-0 to 6)
    println("x = "+x(i)+" y = "+y(i))
    println("")
  val yq=y.reverse
  for(i<-0 until 6){
    tmp=yq(i)-yq(i+1)
    y1(i)=tmp
  }
  for(i<-0 until 5){
    tmp=y1(i)-y1(i+1)

    y2(i)=tmp
  }
  for(i<-0 until 4){
    tmp=y2(i)-y2(i+1)
    y3(i)=tmp
  }
  for(i<-0 until 3){
    tmp=y3(i)-y3(i+1)
    y4(i)=tmp
  }
  for(i<-0 until 2){
    tmp=y4(i)-y4(i+1)
    y5(i)=tmp
  }
  for(i<-0 until 1){
    tmp=y5(i)-y5(i+1)

    y6(i)=tmp
  }

  fx=(y1.head+(y2.head/2)+(y3.head/3)+(y4.head/4)+(y5.head/5)+(y6.head/6))/0.2
  println("f(x) = "+fx)

}
}
object Rozniczki extends App{
  val p:Int=7
  val x:Array[Double] = Array(1.4,1.6,1.8,2,2.2,2.4,2.6)
  val y:Array[Double] = Array(0.146128,0.20412,0.255273,0.30103,0.342423,0.380211,0.417999)
  val obj = new Rozniczki
  obj.metodaTaylora(p,x,y)
}



--------------wynik---------------
x = 1.4 y = 0.146128
x = 1.6 y = 0.20412
x = 1.8 y = 0.255273
x = 2.0 y = 0.30103
x = 2.2 y = 0.342423
x = 2.4 y = 0.380211
x = 2.6 y = 0.417999

f(x) = 0.2041089999999985