mirror of
https://github.com/csharpee/Map-Projections.git
synced 2025-12-13 00:00:07 -05:00
8f82807a35
I fixed a minor bug that was creating dotted lines across certain maps, I added a new input map, and I made it so that you can exit the program through the GUI.
527 lines
22 KiB
Java
527 lines
22 KiB
Java
import java.awt.Desktop;
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import java.awt.event.ActionEvent;
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import java.awt.event.ActionListener;
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import java.awt.image.BufferedImage;
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import java.io.File;
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import java.io.IOException;
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import javax.imageio.ImageIO;
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import javax.swing.JButton;
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import javax.swing.JFrame;
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import javax.swing.JLabel;
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import javax.swing.JPanel;
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import javax.swing.JSpinner;
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import javax.swing.SpinnerModel;
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import javax.swing.SpinnerNumberModel;
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import ellipticFunctions.Jacobi;
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import mfc.field.Complex;
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/**
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*
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*/
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/**
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* @author Justin Kunimune
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*
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*/
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public class MapProjections implements ActionListener {
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private static final String[] PROJ = {"Equirectangular","Mercator","Gall Stereographic",
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"Cylindrical Equal-Area","Polar","Stereographic","Azimuthal Equal-Area","Orthogonal","Gnomic",
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"Lambert Conical","Pierce Quincuncial","Sinusoidal","Lemons","Shifted Quincuncial" };
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private static final int[] DEFW = {1400,1000,1200,1800,1100,1100,1100,1100,1100,1600,1000,1400,1400,1400};
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private static final int[] DEFH = {700, 1000,900, 570, 1100,1100,1100,1100,1100,800, 1000,500, 700, 700 };
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private static final String[] TIP3 = {"A basic cylindrical map",
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"A shape-preserving cylindrical map",
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"A compromising cylindrical map",
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"An area-preserving cylindrical map",
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"A basic azimuthal map",
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"A shape-preserving azimuthal map",
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"An area-preserving azimuthal map",
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"Represents earth viewed from an infinite distance",
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"Every straight line on the map is a straight line on the sphere",
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"A conical map (conical maps suck; don't use this one)",
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"A conformal square map that uses complex math",
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"An area-preserving map shaped like a sinusoid",
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"BURN LIFE'S HOUSE DOWN!",
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"A reorganized version of Pierce Quincuncial and actually the best map ever" };
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private static final String[] FILE = {"Satellite","Altitude","Sillouette","Rivers","HiContrast","Terrain",
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"No_Ice","Biomes","Political","Timezones","Historic","Population","Antipode","Empire","Mars",
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"Stars","Color_Wheel","Grid","Soccer"};
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private static final String[] TIP1 = {"A realistic rendering of the Earth",
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"Color-coded based on altitude",
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"Land is black; oceans are white.",
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"Land is black; rivers and oceans are white (not recomended for low-resolution maps).",
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"Lots of snow and ice; oceans are black.",
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"Color-coded based on terrain",
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"Color-coded based on terrain, without ice",
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"Color-coded based on biome",
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"Political map with country names removed",
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"A map of different time-zones",
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"An old map by European explorers",
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"Color-coded by population",
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"If you dug straight down, where would you end up?",
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"The British Empire at its height",
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"A realistic rendering of Mars",
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"The cosmos, as seen from Earth",
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"Color-coded by latitude and longitude",
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"Each square represents 30 degrees.",
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"A realistic rendering of a football" };
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private static final String[] AXES = {"Standard","Transverse","Center of Mass","Jerusalem",
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"Point Nemo","Longest Line","Longest Line Transverse","Cylindrical","Conical","Quincuncial"};
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private static final String[] TIP2 = {"The north pole (standard for most maps)",
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"Offset from standard by 90 degrees",
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"The center of landmass on Earth (Giza)",
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"The city of Jerusalem",
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"Antipode of the point farthest from land",
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"Sets the longest sailable line as the equator",
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"Sets the longest sailable line as the meridian",
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"Perfect for cylindrical maps",
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"Perfect for conical maps",
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"Perfect for the Pierce Quincuncial projection" };
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private static final double[] lats = {90,0,29.9792,31.7833,48.8767,-28.5217,-46.4883,-35,10,59};
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private static final double[] lons = {0,0,31.1344,35.216,56.6067,141.451,16.5305,-13.6064,-115,19};
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private static final double[] thts = {0,180,-32,-35,-45,71.5,137,145,150,50};
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public String command = "";
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public static void main(String[] args) {
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BufferedImage input, output;
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int w,h;
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double latD, lonD, thtD;
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int projection;
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MapProjections listener = new MapProjections(); // initialization
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JFrame frame = new JFrame("Map Configurer");
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frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
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frame.setSize(400,300);
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while (true) { // make as many maps as you want
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JPanel panel = new JPanel();
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JLabel label = new JLabel("Please select a map theme."); // select map theme
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label.setToolTipText("This is the equirectangular image the program will reference.");
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panel.add(label);
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JButton buttn;
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for (int i = 0; i < FILE.length; i ++) {
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buttn = new JButton(FILE[i]);
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buttn.setToolTipText(TIP1[i]);
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buttn.setActionCommand(FILE[i]);
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buttn.addActionListener(listener);
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panel.add(buttn);
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}
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {} // waits for a button to be pressed
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try {
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input = ImageIO.read(new File("input/"+listener.command+".jpg"));
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} catch (IOException e) {
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System.err.println("Where the heck is the image?!");
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return;
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}
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listener.reset();
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frame.remove(panel);
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panel = new JPanel();
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label = new JLabel("Pick a projection algorithm."); // select projection
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label.setToolTipText("How will the Earth be mapped onto a plane?");
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panel.add(label);
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for (int i = 0; i < PROJ.length; i ++) {
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buttn = new JButton(PROJ[i]);
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buttn.setToolTipText(TIP3[i]);
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buttn.setActionCommand(String.valueOf(i));
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buttn.addActionListener(listener);
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panel.add(buttn);
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}
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {} // wait for a button to be pressed
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projection = Integer.parseInt(listener.command);
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listener.reset();
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frame.remove(panel);
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panel = new JPanel();
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label = new JLabel("Choose an axis preset, or make a custom one."); // select axis
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label.setToolTipText("Changing the axis effectively rotates the earth, which can produce some very unconventional maps.");
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panel.add(label);
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buttn = new JButton("Custom");
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buttn.setToolTipText("Enter coordinates to create a custom axis.");
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buttn.setActionCommand("-1");
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buttn.addActionListener(listener);
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panel.add(buttn);
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for (int i = 0; i < AXES.length; i ++) {
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buttn = new JButton(AXES[i]);
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buttn.setToolTipText(TIP2[i]);
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buttn.setActionCommand(String.valueOf(i));
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buttn.addActionListener(listener);
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panel.add(buttn);
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}
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {} // wait for a button to be pressed
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int n = Integer.parseInt(listener.command);
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listener.reset();
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frame.remove(panel);
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if (n >= 0) { // if it is a preset
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latD = lats[n];
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lonD = lons[n];
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thtD = thts[n];
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}
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else { // if it is custom
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panel = new JPanel(); // lets you pick coordinates
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label = new JLabel("<html>Enter coordinates for your axis (lattitude, longitude, orientation).</html>");
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label.setToolTipText("The coordinates you specify will probably appear in the center or at the top of the map.");
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panel.add(label);
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SpinnerModel latModel = new SpinnerNumberModel(0, -90, 90, .1);
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JSpinner lat = new JSpinner(latModel);
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lat.setToolTipText("The lattitude of your desired axis (between -90 and 90)");
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SpinnerModel lonModel = new SpinnerNumberModel(0, -180, 180, .1);
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JSpinner lon = new JSpinner(lonModel);
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lon.setToolTipText("The longitude of your desired axis (between -180 and 180)");
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SpinnerModel thtModel = new SpinnerNumberModel(0, -180, 180, .1);
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JSpinner tht = new JSpinner(thtModel);
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tht.setToolTipText("The orientation of your desired axis (between -180 and 180)");
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panel.add(lat);
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panel.add(lon);
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panel.add(tht);
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buttn = new JButton("Okay");
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buttn.setToolTipText("Press when you are satisfied with your coordinates.");
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buttn.setActionCommand("OK");
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buttn.addActionListener(listener);
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panel.add(buttn);
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {} // wait for a button to be pressed
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latD = (double)lat.getValue();
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lonD = (double)lon.getValue();
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thtD = (double)tht.getValue();
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listener.reset();
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frame.remove(panel);
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}
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panel = new JPanel();
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label = new JLabel("Finally, set the dimensions for your map (width, height)."); // select map dimensions
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label.setToolTipText("These will be the dimensions of the JPG file in pixels.");
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panel.add(label);
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SpinnerModel widthModel = new SpinnerNumberModel(DEFW[projection], 400, 10000, 10);
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JSpinner width = new JSpinner(widthModel);
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width.setToolTipText("The width of your map in pixels");
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SpinnerModel heightModel = new SpinnerNumberModel(DEFH[projection], 400, 10000, 10);
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JSpinner height = new JSpinner(heightModel);
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height.setToolTipText("The height of your map in pixels");
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panel.add(width);
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panel.add(height);
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buttn = new JButton("OK");
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buttn.setToolTipText("Press when you are satisfied with your dimensions.");
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buttn.setActionCommand("OK");
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buttn.addActionListener(listener);
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panel.add(buttn);
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {} // wait for a button to be pressed
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w = (int)(width.getValue());
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h = (int)(height.getValue());
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output = new BufferedImage(w,h,BufferedImage.TYPE_INT_RGB);
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listener.reset();
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frame.remove(panel);
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panel = new JPanel();
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label = new JLabel("Wait...");
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panel.add(label);
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frame.add(panel);
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frame.setVisible(true);
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map(input,output,projection,latD,lonD,thtD); // This is where all the math happens
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saveImage(output);
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frame.remove(panel);
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panel = new JPanel();
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label = new JLabel("Done!"); // finished!
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panel.add(label);
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buttn = new JButton("Make Another");
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buttn.setToolTipText("You know you want to..."); // lets you start over
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buttn.setActionCommand("Go!");
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buttn.addActionListener(listener);
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panel.add(buttn);
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buttn = new JButton("Exit");
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buttn.setToolTipText("Please don't deactivate me!"); // lets you close the window
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buttn.setActionCommand("X");
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buttn.addActionListener(listener);
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panel.add(buttn);
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frame.add(panel);
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frame.setVisible(true);
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while (listener.isWaiting()) {}
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if (listener.command.equals("X")) break; // exits if necessary
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frame.remove(panel);
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listener.reset();
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}
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frame.setVisible(false);
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frame.dispose();
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}
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/* PROJECTION METHODS: Return RGB at a given pixel based on a reference map and a unique projection method */
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public static int quincuncial(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a tessalatable square map
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Complex u = new Complex(3.7116*x/width, 3.7116*y/height-1.8558); // don't ask me where 3.7116 come from because I have no idea
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Complex k = new Complex(Math.sqrt(0.5)); // the rest comes from some fancy complex calculus stuff
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Complex ans = Jacobi.cn(u, k);
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double p = 2*Math.atan(ans.abs());
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double theta = Math.atan2(ans.getRe(), ans.getIm());
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double lambda = p-Math.PI/2;
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return getColor(lat0, lon0, orientation, lambda, theta, ref);
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}
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public static int equirectangular(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a basic scale
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return getColor(lat0,lon0,orientation, (double)y/height*Math.PI - Math.PI/2, (double)x/width*2*Math.PI, ref);
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}
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public static int mercator(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a popular shape-preserving map
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y -= height/2;
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double phi = Math.atan(Math.sinh((double)y/width*2*Math.PI)); // latitude from 0 to pi
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return getColor(lat0,lon0,orientation, phi, (double)x/width*2*Math.PI, ref);
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}
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public static int polar(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // the projection used on the UN flag
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double phi = 2*Math.PI*Math.hypot((double)x/width-.5, (double)y/height-.5) - Math.PI/2;
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if (Math.abs(phi) < Math.PI/2)
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return getColor(lat0,lon0,orientation, phi, Math.atan2(width/2.0-x, height/2.0-y), ref);
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else
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return 0;
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}
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public static int gall(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a compromise map, similar to mercator
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return getColor(lat0, lon0, orientation,
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2*Math.atan((y-height/2.0) / (height/2.0)), x*2*Math.PI/width, ref);
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}
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public static int sinusoidal(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a map shaped like a sinusoid
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return getColor(lat0, lon0, orientation, y*Math.PI/height - Math.PI/2,
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Math.PI * (x-width/2.0) / (Math.sin(Math.PI*y/height)*width/2.0)+Math.PI, ref);
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}
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public static int stereographic(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a shape-preserving infinite map
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double radius = Math.pow(Math.pow(width, -2)+Math.pow(height, -2), -.5) / Math.PI;
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return getColor(lat0, lon0, orientation, 2*Math.atan(Math.hypot(x-width/2, y-height/2) / radius)-Math.PI/2,
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Math.atan2(width/2.0-x, height/2.0-y), ref);
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}
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public static int gnomic(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a shape-preserving infinite map
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double radius = Math.pow(Math.pow(width, -2)+Math.pow(height, -2), -.5) / Math.PI;
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return getColor(lat0, lon0, orientation, Math.atan(Math.hypot(x-width/2, y-height/2) / radius)-Math.PI/2,
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Math.atan2(width/2.0-x, height/2.0-y), ref);
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}
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public static int orthogonal(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a map that mimics the view from space
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double R = 2*Math.hypot((double)x/width-.5, (double)y/height-.5);
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if (R <= 1)
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return getColor(lat0, lon0, orientation, -Math.acos(R), Math.atan2(x-width/2.0,y-height/2.0), ref);
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else
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return 0;
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}
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public static int eaCylindrical(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // an equal area cylindrical map
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return getColor(lat0, lon0, orientation, Math.asin((y-height/2.0) / (height/2.0)),
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x*2*Math.PI / width, ref);
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}
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public static int lambert(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a conical projection
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double radius = Math.pow(Math.pow(width, -2)+Math.pow(height, -2), -.5) / Math.PI;
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return getColor(lat0, lon0, orientation, 4.0/3.0*(Math.atan(Math.hypot(x-width/2,y)/(radius)-1)+Math.PI/4) - Math.PI/2,
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2*Math.atan2(width/2.0-x, -y)-Math.PI, ref);
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}
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public static int lemons(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a simple map that is shaped like lemons
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int lemWdt;
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if (width > 12) lemWdt= width/12; // the pixel width of each lemon
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else lemWdt = width;
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if (Math.abs(x%lemWdt-lemWdt/2.0) < Math.sin(Math.PI*y/height)*lemWdt/2.0) // if it is inside a sin curve
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return getColor(lat0,lon0,orientation, y*Math.PI/height - Math.PI/2,
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Math.PI * (x%lemWdt-lemWdt/2.0) / (Math.sin(Math.PI*y/height)*lemWdt*6.0) + x/lemWdt*Math.PI/6, ref);
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else
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return 0;
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}
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public static int eaAzimuth(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // the lambert azimuthal equal area projection
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double R = 4*Math.hypot((double)x/width-.5, (double)y/height-.5);
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if (R <= 2)
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return getColor(lat0, lon0, orientation, Math.asin(R*R/2-1), Math.atan2(x-width/2.0, y-height/2.0), ref);
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else
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return 0;
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}
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public static int quinshift(final double lat0, final double lon0, final double orientation,
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final int width, final int height, int x, int y, BufferedImage ref) { // a tessalatable rectangle map
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Complex u = new Complex(3.7116*(0.5*y/height + 1.0*x/width),
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3.7116*(0.5*y/height - 1.0*x/width)); // don't ask me where 3.7116 come from because I have no idea
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Complex k = new Complex(Math.sqrt(0.5)); // the rest comes from some fancy complex calculus stuff
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Complex ans = Jacobi.cn(u, k);
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double p = 2*Math.atan(ans.abs());
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double theta = Math.atan2(ans.getRe(), ans.getIm());
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double lambda = p-Math.PI/2;
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return getColor(lat0, lon0, orientation, lambda, theta, ref);
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}
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/*END PROJECTION METHODS*/
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public static int getColor(final double lat0, final double lon0, final double orientation,
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double lat1, double lon1, BufferedImage ref) { // returns the color of any coordinate on earth
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lon1 += orientation;
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double latitude = Math.asin(Math.sin(lat0)*Math.sin(lat1) + Math.cos(lat0)*Math.cos(lon1)*Math.cos(lat1));
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double longitude;
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double innerFunc = Math.sin(lat1)/Math.cos(lat0)/Math.cos(latitude)-Math.tan(lat0)*Math.tan(latitude); // used for calculating lon
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if (lat0 >= Math.PI/2) // accounts for special case when lat0 = pi/2
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longitude = lon1+Math.PI;
|
|
else if (lat0 <= -Math.PI/2) // accounts for special case when lat0 = -pi/2
|
|
longitude = -lon1;
|
|
else if (Math.abs(innerFunc) > 1) { // accounts for special case when cos(lat) = --> 0
|
|
if ((lon1 == Math.PI && lat1 < -lat0) || (lon1 != Math.PI && lat1 < lat0))
|
|
longitude = Math.PI+lon0;
|
|
else
|
|
longitude = lon0;
|
|
}
|
|
else if (Math.sin(lon1) < 0)
|
|
longitude = lon0 + Math.acos(Math.sin(lat1)/Math.cos(lat0)/Math.cos(latitude)-Math.tan(lat0)*Math.tan(latitude));
|
|
else
|
|
longitude = lon0 - Math.acos(Math.sin(lat1)/Math.cos(lat0)/Math.cos(latitude)-Math.tan(lat0)*Math.tan(latitude));
|
|
int x = (int)(longitude*ref.getWidth()/(2*Math.PI));
|
|
int y = (int)((latitude*ref.getHeight()/Math.PI)+ref.getHeight()/2.0);
|
|
|
|
while (x < 0)
|
|
x += ref.getWidth();
|
|
x %= ref.getWidth();
|
|
if (y < 0)
|
|
y = 0;
|
|
else if (y >= ref.getHeight())
|
|
y = ref.getHeight()-1;
|
|
|
|
return ref.getRGB(x, y);
|
|
}
|
|
|
|
|
|
public static void map(BufferedImage input, BufferedImage output, int projection, double latD, double lonD, double thtD) {
|
|
final int width = output.getWidth();
|
|
final int height = output.getHeight();
|
|
final double lat0 = Math.toRadians(latD);
|
|
final double lon0 = Math.toRadians(lonD);
|
|
final double tht0 = Math.toRadians(thtD+180);
|
|
|
|
for (int x = 0; x < output.getWidth(); x ++) {
|
|
for (int y = 0; y < output.getHeight(); y ++) {
|
|
switch (PROJ[projection]) { // methods are selected by the name of the projection
|
|
case "Pierce Quincuncial":
|
|
output.setRGB(x, y, quincuncial(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Equirectangular":
|
|
output.setRGB(x, y, equirectangular(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Mercator":
|
|
output.setRGB(x, y, mercator(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Polar":
|
|
output.setRGB(x, y, polar(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Gall Stereographic":
|
|
output.setRGB(x, y, gall(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Sinusoidal":
|
|
output.setRGB(x, y, sinusoidal(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Stereographic":
|
|
output.setRGB(x, y, stereographic(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Orthogonal":
|
|
output.setRGB(x, y, orthogonal(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Lemons":
|
|
output.setRGB(x, y, lemons(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Azimuthal Equal-Area":
|
|
output.setRGB(x, y, eaAzimuth(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Cylindrical Equal-Area":
|
|
output.setRGB(x, y, eaCylindrical(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Lambert Conical":
|
|
output.setRGB(x, y, lambert(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Gnomic":
|
|
output.setRGB(x, y, gnomic(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
case "Shifted Quincuncial":
|
|
output.setRGB(x, y, quinshift(lat0,lon0,tht0,width,height,x,y,input));
|
|
break;
|
|
default:
|
|
System.err.println("Justin, you forgot to add a projection to the switch case! (or you forgot a break;)");
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
private static void saveImage(BufferedImage img) {
|
|
try {
|
|
File outputFile = new File("output/myMap.jpg");
|
|
ImageIO.write(img, "jpg", outputFile);
|
|
Desktop.getDesktop().open(outputFile);
|
|
} catch (IOException e) {}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public void actionPerformed(ActionEvent e) { // the non-static part of the program acts as a button-listener
|
|
command = e.getActionCommand();
|
|
}
|
|
|
|
|
|
public void reset() {
|
|
command = "";
|
|
}
|
|
|
|
|
|
public boolean isWaiting() {
|
|
if (command.isEmpty()) {
|
|
System.out.print(""); // this line makes the code work. I've no idea why.
|
|
return true;
|
|
}
|
|
else
|
|
return false;
|
|
}
|
|
} |