Task: Peano curve




Go: package main

import "github.com/fogleman/gg"

var points []gg.Point

const width = 81

func peano(x, y, lg, i1, i2 int) {
    if lg == 1 {
        px := float64(width-x) * 10
        py := float64(width-y) * 10
        points = append(points, gg.Point{px, py})
        return
    }
    lg /= 3
    peano(x+2*i1*lg, y+2*i1*lg, lg, i1, i2)
    peano(x+(i1-i2+1)*lg, y+(i1+i2)*lg, lg, i1, 1-i2)
    peano(x+lg, y+lg, lg, i1, 1-i2)
    peano(x+(i1+i2)*lg, y+(i1-i2+1)*lg, lg, 1-i1, 1-i2)
    peano(x+2*i2*lg, y+2*(1-i2)*lg, lg, i1, i2)
    peano(x+(1+i2-i1)*lg, y+(2-i1-i2)*lg, lg, i1, i2)
    peano(x+2*(1-i1)*lg, y+2*(1-i1)*lg, lg, i1, i2)
    peano(x+(2-i1-i2)*lg, y+(1+i2-i1)*lg, lg, 1-i1, i2)
    peano(x+2*(1-i2)*lg, y+2*i2*lg, lg, 1-i1, i2)
}

func main() {
    peano(0, 0, width, 0, 0)
    dc := gg.NewContext(820, 820)
    dc.SetRGB(1, 1, 1) 
    dc.Clear()
    for _, p := range points {
        dc.LineTo(p.X, p.Y)
    }
    dc.SetRGB(1, 0, 1) 
    dc.SetLineWidth(1)
    dc.Stroke()
    dc.SavePNG("peano.png")
}


Java: import java.io.*;

public class PeanoCurve {
    public static void main(final String[] args) {
        try (Writer writer = new BufferedWriter(new FileWriter("peano_curve.svg"))) {
            PeanoCurve s = new PeanoCurve(writer);
            final int length = 8;
            s.currentAngle = 90;
            s.currentX = length;
            s.currentY = length;
            s.lineLength = length;
            s.begin(656);
            s.execute(rewrite(4));
            s.end();
        } catch (final Exception ex) {
            ex.printStackTrace();
        }
    }

    private PeanoCurve(final Writer writer) {
        this.writer = writer;
    }

    private void begin(final int size) throws IOException {
        write("<svg xmlns='http:
        write("<rect width='100%%' height='100%%' fill='white'/>\n");
        write("<path stroke-width='1' stroke='black' fill='none' d='");
    }

    private void end() throws IOException {
        write("'/>\n</svg>\n");
    }

    private void execute(final String s) throws IOException {
        write("M%g,%g\n", currentX, currentY);
        for (int i = 0, n = s.length(); i < n; ++i) {
            switch (s.charAt(i)) {
                case 'F':
                    line(lineLength);
                    break;
                case '+':
                    turn(ANGLE);
                    break;
                case '-':
                    turn(-ANGLE);
                    break;
            }
        }
    }

    private void line(final double length) throws IOException {
        final double theta = (Math.PI * currentAngle) / 180.0;
        currentX += length * Math.cos(theta);
        currentY += length * Math.sin(theta);
        write("L%g,%g\n", currentX, currentY);
    }

    private void turn(final int angle) {
        currentAngle = (currentAngle + angle) % 360;
    }

    private void write(final String format, final Object... args) throws IOException {
        writer.write(String.format(format, args));
    }

    private static String rewrite(final int order) {
        String s = "L";
        for (int i = 0; i < order; ++i) {
            final StringBuilder sb = new StringBuilder();
            for (int j = 0, n = s.length(); j < n; ++j) {
                final char ch = s.charAt(j);
                if (ch == 'L')
                    sb.append("LFRFL-F-RFLFR+F+LFRFL");
                else if (ch == 'R')
                    sb.append("RFLFR+F+LFRFL-F-RFLFR");
                else
                    sb.append(ch);
            }
            s = sb.toString();
        }
        return s;
    }

    private final Writer writer;
    private double lineLength;
    private double currentX;
    private double currentY;
    private int currentAngle;
    private static final int ANGLE = 90;
}