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Algorithm to generate a hexagonal grid with coordinate system

由 南楼画角 提交于 2019-11-27 18:12:42
Mr. Polywhirl

I have figured it out, thanks for the feedback Tanmay.

I noticed that the y-offset was incorrect for n - cols and should be row - half instead.

Below is the most comprehensive and compact code I could obtain. Although it is preferred to enter an odd integer for the size, you could enter a positive value. I also added a padding to the offset.

This if-conditional still troubles me: int xLbl = row < half ? col - row : col - half;

private void drawHexGridLoop(Graphics g, Point origin, int size, int radius, int padding) {
    double ang30 = Math.toRadians(30);
    double xOff = Math.cos(ang30) * (radius + padding);
    double yOff = Math.sin(ang30) * (radius + padding);
    int half = size / 2;

    for (int row = 0; row < size; row++) {
        int cols = size - java.lang.Math.abs(row - half);

        for (int col = 0; col < cols; col++) {
            int xLbl = row < half ? col - row : col - half;
            int yLbl = row - half;
            int x = (int) (origin.x + xOff * (col * 2 + 1 - cols));
            int y = (int) (origin.y + yOff * (row - half) * 3);

            drawHex(g, xLbl, yLbl, x, y, radius);
        }
    }
}

Main.java

import java.awt.*;
import javax.swing.*;

public class Main extends JPanel {
    private static final long serialVersionUID = 1L;
    private final int WIDTH = 1200;
    private final int HEIGHT = 800;

    private Font font = new Font("Arial", Font.BOLD, 18);
    FontMetrics metrics;

    public Main() {
        setPreferredSize(new Dimension(WIDTH, HEIGHT));
    }

    @Override
    public void paintComponent(Graphics g) {
        Graphics2D g2d = (Graphics2D) g;
        Point origin = new Point(WIDTH / 2, HEIGHT / 2);

        g2d.setStroke(new BasicStroke(4.0f, BasicStroke.CAP_SQUARE, BasicStroke.JOIN_MITER));
        g2d.setFont(font);
        metrics = g.getFontMetrics();

        drawCircle(g2d, origin, 380, true, true, 0x4488FF, 0);
        drawHexGridLoop(g2d, origin, 7, 50, 8);
    }

    private void drawHexGridLoop(Graphics g, Point origin, int size, int radius, int padding) {
        double ang30 = Math.toRadians(30);
        double xOff = Math.cos(ang30) * (radius + padding);
        double yOff = Math.sin(ang30) * (radius + padding);
        int half = size / 2;

        for (int row = 0; row < size; row++) {
            int cols = size - java.lang.Math.abs(row - half);

            for (int col = 0; col < cols; col++) {
                int xLbl = row < half ? col - row : col - half;
                int yLbl = row - half;
                int x = (int) (origin.x + xOff * (col * 2 + 1 - cols));
                int y = (int) (origin.y + yOff * (row - half) * 3);

                drawHex(g, xLbl, yLbl, x, y, radius);
            }
        }
    }

    private void drawHex(Graphics g, int posX, int posY, int x, int y, int r) {
        Graphics2D g2d = (Graphics2D) g;

        Hexagon hex = new Hexagon(x, y, r);
        String text = String.format("%s : %s", coord(posX), coord(posY));
        int w = metrics.stringWidth(text);
        int h = metrics.getHeight();

        hex.draw(g2d, x, y, 0, 0x008844, true);
        hex.draw(g2d, x, y, 4, 0xFFDD88, false);

        g.setColor(new Color(0xFFFFFF));
        g.drawString(text, x - w/2, y + h/2);
    }

    private String coord(int value) {
        return (value > 0 ? "+" : "") + Integer.toString(value);
    }

    public void drawCircle(Graphics2D g, Point origin, int radius,
            boolean centered, boolean filled, int colorValue, int lineThickness) {
        // Store before changing.
        Stroke tmpS = g.getStroke();
        Color tmpC = g.getColor();

        g.setColor(new Color(colorValue));
        g.setStroke(new BasicStroke(lineThickness, BasicStroke.CAP_ROUND,
                BasicStroke.JOIN_ROUND));

        int diameter = radius * 2;
        int x2 = centered ? origin.x - radius : origin.x;
        int y2 = centered ? origin.y - radius : origin.y;

        if (filled)
            g.fillOval(x2, y2, diameter, diameter);
        else
            g.drawOval(x2, y2, diameter, diameter);

        // Set values to previous when done.
        g.setColor(tmpC);
        g.setStroke(tmpS);
    }

    public static void main(String[] args) {
        JFrame f = new JFrame();
        Main p = new Main();

        f.setContentPane(p);
        f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        f.pack();
        f.setLocationRelativeTo(null);
        f.setVisible(true);
    }
}

Hexagon.java

import java.awt.*;

public class Hexagon extends Polygon {

    private static final long serialVersionUID = 1L;

    public static final int SIDES = 6;

    private Point[] points = new Point[SIDES];
    private Point center = new Point(0, 0);
    private int radius;
    private int rotation = 90;

    public Hexagon(Point center, int radius) {
        npoints = SIDES;
        xpoints = new int[SIDES];
        ypoints = new int[SIDES];

        this.center = center;
        this.radius = radius;

        updatePoints();
    }

    public Hexagon(int x, int y, int radius) {
        this(new Point(x, y), radius);
    }

    public int getRadius() {
        return radius;
    }

    public void setRadius(int radius) {
        this.radius = radius;

        updatePoints();
    }

    public int getRotation() {
        return rotation;
    }

    public void setRotation(int rotation) {
        this.rotation = rotation;

        updatePoints();
    }

    public void setCenter(Point center) {
        this.center = center;

        updatePoints();
    }

    public void setCenter(int x, int y) {
        setCenter(new Point(x, y));
    }

    private double findAngle(double fraction) {
        return fraction * Math.PI * 2 + Math.toRadians((rotation + 180) % 360);
    }

    private Point findPoint(double angle) {
        int x = (int) (center.x + Math.cos(angle) * radius);
        int y = (int) (center.y + Math.sin(angle) * radius);

        return new Point(x, y);
    }

    protected void updatePoints() {
        for (int p = 0; p < SIDES; p++) {
            double angle = findAngle((double) p / SIDES);
            Point point = findPoint(angle);
            xpoints[p] = point.x;
            ypoints[p] = point.y;
            points[p] = point;
        }
    }

    public void draw(Graphics2D g, int x, int y, int lineThickness, int colorValue, boolean filled) {
        // Store before changing.
        Stroke tmpS = g.getStroke();
        Color tmpC = g.getColor();

        g.setColor(new Color(colorValue));
        g.setStroke(new BasicStroke(lineThickness, BasicStroke.CAP_SQUARE, BasicStroke.JOIN_MITER));

        if (filled)
            g.fillPolygon(xpoints, ypoints, npoints);
        else
            g.drawPolygon(xpoints, ypoints, npoints);

        // Set values to previous when done.
        g.setColor(tmpC);
        g.setStroke(tmpS);
    }
}

Even more compact code is possible, but this gives output without repetition and without if branching.

for (row = 0; row < h; row ++) {
    cols = h + row + 1;
    for (col = 0; col < cols; col++) {
        drawHex(g, col - row, -h + row, (int) (W2 + xOff * (-cols + (col * 2 + 1))), (int) (H2 - yOff * (n - cols) * 3), r);                
    }
}
for (row = h; row < n; row++) {
    cols = n - row + h;
    for (col = 0; col < cols; col++) {
        drawHex(g, -h + col, -h + row, (int) (W2 + xOff * (-cols + (col * 2 + 1))), (int) (H2 + yOff * (n - cols) * 3), r);                
    }
}

Hope this helps.

标签
java
loops
dynamic
coordinates
hexagonal-tiles
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