test/pos/sqrt.scala


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object test {

  def abs(x: Double) = if (x >= 0) x else 0 - x;


  def square(x: Double) = x * x;

  def sqrt(x: Double) = {
    def sqrtIter(guess: Double): Double =
      if (isGoodEnough(guess)) guess
      else sqrtIter(improve(guess));

    def improve(guess: Double) =
      (guess + x / guess) / 2;

    def isGoodEnough(guess: Double) =
      abs(square(guess) - x) < 0.001;

    sqrtIter(1.0);
  }
}