public class Htree {
// plot an H, centered on (x, y) of the given side length
public static void drawH(double x, double y, double size) {
// compute the coordinates of the 4 tips of the H
double x0 = x - size/2;
double x1 = x + size/2;
double y0 = y - size/2;
double y1 = y + size/2;
// draw the 3 line segments of the H
StdDraw.line(x0, y0, x0, y1); // left vertical segment of the H
StdDraw.line(x1, y0, x1, y1); // right vertical segment of the H
StdDraw.line(x0, y, x1, y); // connect the two vertical segments of the H
}
// plot an order n H-tree, centered on (x, y) of the given side length
public static void draw(int n, double x, double y, double size) {
if (n == 0) return;
drawH(x, y, size);
// compute x- and y-coordinates of the 4 half-size H-trees
double x0 = x - size/2;
double x1 = x + size/2;
double y0 = y - size/2;
double y1 = y + size/2;
// recursively draw 4 half-size H-trees of order n-1
draw(n-1, x0, y0, size/2); // lower left H-tree
draw(n-1, x0, y1, size/2); // upper left H-tree
draw(n-1, x1, y0, size/2); // lower right H-tree
draw(n-1, x1, y1, size/2); // upper right H-tree
}
// read in a command-line argument N and plot an order N H-tree
public static void main(String[] args) {
int N = Integer.parseInt(args[0]);
double x = 0.5, y = 0.5; // center of H-tree
double size = 0.5; // side length of H-tree
draw(N, x, y, size);
}
}
/*************************************************************************
* Execution: java Htree N
* Dependencies: StdDraw.java
*
* Plot an order N Htree.
*
* % java Htree 5
*
*************************************************************************/
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