package montecarlo;

import java.util.stream.IntStream;
import java.util.stream.DoubleStream;

import static java.lang.Math.random;
import static java.lang.Math.hypot;
import static java.lang.System.out;

public interface MonteCarlo {
  public static void main(String... arguments) {
    IntStream.of(
      10000,
      100000,
      1000000,
      10000000,
      100000000
    )
      .mapToDouble(MonteCarlo::pi)
      .forEach(out::println)
    ;
  }

  public static double range() {
    //a square with a side of length 2 centered at 0 has
    //x and y range of -1 to 1
    return (random() * 2) - 1;
  }

  public static double pi(int numThrows){
    long inCircle = DoubleStream.generate(
      //distance from (0,0) = hypot(x, y)
      () -> hypot(range(), range())
    )
      .limit(numThrows)
      .unordered()
      .parallel()
      //circle with diameter of 2 has radius of 1
      .filter(d -> d < 1)
      .count()
    ;
    return (4.0 * inCircle) / numThrows;
  }
}