/*
 *  Calculation of Pi using quadrature realized with a basic sequential algorithm using a while.
 *
 *  Copyright © 2009–2011 Russel Winder
 */

//  Use the "write a main method" approach since when extending Application to create a main procedure,
//  variables are represented as methods and this means performance seriously plummets.

object Pi_Scala_Sequential_While {
  def main ( args : Array[String] ) {
    val n = 1000000000
    val delta = 1.0 / n
    val startTimeNanos = System.nanoTime
    var sum = 0.0
    var i = 1
    while ( i <= n ) {
      val x = ( i - 0.5 ) * delta
      sum += 1.0 / ( 1.0 + x * x )
      i += 1
    }
    val pi = 4.0 * delta * sum
    def elapseTime = ( System.nanoTime - startTimeNanos ) / 1e9
    println ( "==== Scala Sequential While pi = " + pi )
    println ( "==== Scala Sequential While iteration count = " + n )
    println ( "==== Scala Sequential While elapse = " + elapseTime )
  }
}