/*
 * File: KochSnowflake.java
 * ------------------------
 * This program demonstrates the use of the GPen class by drawing
 * a Koch fractal snowflake.
 */

import acm.graphics.*;
import acm.program.*;

public class KochSnowflake extends GraphicsProgram {

/** Runs the program to create the snowflake display */
	public void run() {
		double width = getWidth();
		double height = getHeight();
		pen = new GPen();
		add(pen, width / 2, height / 2);
		drawKochFractal(EDGE_FRACTION * Math.min(width, height), ORDER);
	}

/*
 * Draws a snowflake fractal centered at the current pen position.
 * The edge parameter indicates the length of any of an edge on the
 * order 0 fractal, which is simply a triangle.  The order parameter
 * specifies the number of levels of recursive decomposition.
 */
	private void drawKochFractal(double edge, int order) {
		pen.move(-edge / 2, -edge / (2 * Math.sqrt(3)));
		drawFractalLine(edge, 0, order);
		drawFractalLine(edge, -120, order);
		drawFractalLine(edge, +120, order);
	}

/*
 * Draws a fractal line that extends r pixels in the direction theta.
 * If order is 0, this is simply a line segment.  If not, the program
 * creates a fractal line that includes a triangular wedge at its
 * center.  Each of the line segments is drawn as a fractal line of
 * the next lower order.
 */
	private void drawFractalLine(double r, int theta, int order) {
		if (order == 0) {
			pen.drawPolarLine(r, theta);
		} else {
			drawFractalLine(r / 3, theta, order - 1);
			drawFractalLine(r / 3, theta + 60, order - 1);
			drawFractalLine(r / 3, theta - 60, order - 1);
			drawFractalLine(r / 3, theta, order - 1);
		}
	}

/* Private constants */
	private static final double EDGE_FRACTION = 0.75;
	private static final int ORDER = 3;

/* Private instance variables */
	private GPen pen;

/* Standard Java entry point */
/* This method can be eliminated in most Java environments */
	public static void main(String[] args) {
		new KochSnowflake().start(args);
	}
}