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outputFormat.js
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/*
* PROJECTION WIZARD v2.1
* Map Projection Selection Tool
*
* Author: Bojan Savric, Jacob Wasilkowski
* Date: September, 2024
*
*/
/***MAIN OUTPUT FUNCTION***/
function makeOutput(currentlyDragging) {
currentlyDragging = currentlyDragging || false;
//computing a scale of the map
var scale = 720. / (lonmax - lonmin) / (Math.sin(latmax * Math.PI / 180.) - Math.sin(latmin * Math.PI / 180.));
//reading the passed distortion
var distortion = $('input[name=distortion]:checked').val();
//getting a center of the map
var center = rectangle.getBounds().getCenter();
//Normalizing central meridian value
center.lng = normalizeLON(center.lng, 0.);
// rounding central meridian
if (document.getElementById("roundCM").checked)
{
center.lng = Math.round(center.lng);
}
//var printoutTEXT = $("#printout").empty();
//printoutTEXT.append("<p>Ratio/scale: " + scale + ", center latitude: " + center.lat + ", center longitude: " + center.lng + "</p>");
if (scale < 1.5) {
//locking Conformal map
var radioConformal = document.getElementById("Conformal");
if (radioConformal.checked) {
document.getElementById("Equalarea").checked = true;
distortion = "Equalarea";
}
radioConformal.disabled = true;
document.getElementById("Label2").style.color = "#BDBDBD";
//unlocking compromise
var radioCompromise = document.getElementById("Compromise");
if (radioCompromise.disabled) {
radioCompromise.disabled = false;
document.getElementById("Label4").style.color = "#000000";
}
//World (small-scale) map
printWorld(distortion, center, scale, currentlyDragging);
} else if (scale < 6) {
//Case: geographic extent is in the tropics
if ((Math.abs(latmax) < 23.43665) && (Math.abs(latmin) < 23.43665)) {
//unlocking conformal
var radioConformal = document.getElementById("Conformal");
if (radioConformal.disabled) {
radioConformal.disabled = false;
document.getElementById("Label2").style.color = "#000000";
}
}
//Case: geographic extent is out of the tropics
else {
//locking conformal map
var radioConformal = document.getElementById("Conformal");
if (radioConformal.checked) {
document.getElementById("Equalarea").checked = true;
distortion = "Equalarea";
}
radioConformal.disabled = true;
document.getElementById("Label2").style.color = "#BDBDBD";
}
//locking compromise map
var radioCompromise = document.getElementById("Compromise");
if (radioCompromise.checked) {
document.getElementById("Equalarea").checked = true;
distortion = "Equalarea";
}
radioCompromise.disabled = true;
document.getElementById("Label4").style.color = "#BDBDBD";
//Hemisphere (medium-scale) map
printHemisphere(distortion, center, scale);
addMapPreview(center, currentlyDragging);
} else {
//locking compromise map
var radioCompromise = document.getElementById("Compromise");
if (radioCompromise.checked) {
document.getElementById("Equalarea").checked = true;
distortion = "Equalarea";
}
radioCompromise.disabled = true;
document.getElementById("Label4").style.color = "#BDBDBD";
//unlocking conformal
var radioConformal = document.getElementById("Conformal");
if (radioConformal.disabled) {
radioConformal.disabled = false;
document.getElementById("Label2").style.color = "#000000";
}
//Continent or a smaller area (large-scale) map
printSmallerArea(distortion, center, scale);
addMapPreview(center, currentlyDragging);
}
highlightActiveProjectionNode();
}
/***PRINTING WOLRD MAP PROJECTIONS***/
/*Global list of world map projections*/
var listWorld = [
//Equal-area world map projections with poles represented as points
{
projection : "Mollweide",
PROJ4 : "moll"
}, {
projection : "Hammer (or Hammer-Aitoff)",
PROJ4 : "hammer"
},
//Equal-area world map projections with poles represented as lines
{
projection : "Equal Earth",
PROJ4 : "eqearth"
}, {
projection : "Eckert IV",
PROJ4 : "eck4"
}, {
projection : "Wagner IV (or Putnins P2`)",
PROJ4 : "wag4"
}, {
projection : "Wagner VII (or Hammer-Wagner)",
PROJ4 : "wag7"
},
//Compromise world map projections
{
projection : "Robinson",
PROJ4 : "robin"
}, {
projection : "Natural Earth",
PROJ4 : "natearth"
}, {
projection : "Winkel Tripel",
PROJ4 : "wintri"
}, {
projection : "Patterson",
PROJ4 : "patterson"
}, {
projection : "Plate Carrée",
PROJ4 : "latlong"
}, {
projection : "Miller cylindrical I",
PROJ4 : "mill"
}];
// Set default displays for the 3 different world distortion categories
var activeWorldEqAreaProj = "Equal Earth";
var activeWorldEqDistProj = "Oblique azimuthal equidistant";
var activeWorldComproProj = "Natural Earth";
// Set default point values for equidistant world map projections
var pole_eq = -90., lngP_eq = -180.;
var latC_eq = -39., lngC_eq = 145.;
var lat1_eq = 34., lng1_eq = -117., lat2_eq = 46., lng2_eq = 16.;
// this variable will later help set the styling of the active world projection choice
var activeProjection;
/*Main small-scale output function*/
function printWorld(property, center, scale, currentlyDragging) {
//cleaning the output
var outputTEXT = $("#result").empty();
//formating central meridian
var lng = worldValues(center.lng, scale);
//formating the output text
if (property == 'Equalarea') {
addWorldMapPreview(center, activeWorldEqAreaProj, currentlyDragging);
outputTEXT.append("<p><b>Equal-area world map projections with poles represented as points</b></p>");
//loop through global data
for (var i = 0; i < 2; i++) {
outputTEXT.append("<p class='outputText'><span onmouseover='updateWorldMap(\"" + listWorld[i].projection + "\")'><span data-proj-name='" + listWorld[i].projection + "'>" + listWorld[i].projection + "</span>" + stringLinks(listWorld[i].PROJ4, NaN, NaN, NaN, NaN, lng, NaN) + "</span></p>");
}
outputTEXT.append("<p><b>Equal-area world map projections with poles represented as lines</b></p>");
//loop through global data
for (var i = 2; i < 6; i++) {
outputTEXT.append("<p class='outputText'><span onmouseover='updateWorldMap(\"" + listWorld[i].projection + "\")'><span data-proj-name='" + listWorld[i].projection + "'>" + listWorld[i].projection + "</span>" + stringLinks(listWorld[i].PROJ4, NaN, NaN, NaN, NaN, lng, NaN) + "</span></p>");
}
worldCM(lng, outputTEXT);
}
else if (property == 'Equidistant') {
//output text
outputTEXT.append("<p><b>Equidistant world map projections</b></p>");
//making a select manue
outputTEXT.append("<div><div><select name='worldEquidistantMenu' id='worldEquidistantMenu'>" +
"<option value='Polar azimuthal equidistant'><b>Polar azimuthal equidistant</b></option>" +
"<option value='Oblique azimuthal equidistant'><b>Oblique azimuthal equidistant</b></option>" +
"<option value='Two-point equidistant'><b>Two-point equidistant</b></option></select></div><div id='worldEquidistantBox'></div>");
var menu = $("#worldEquidistantMenu").selectmenu( {
width: 230,
select: function( event, ui ) {
activeWorldEqDistProj = ui.item.value;
outputWorldEquidistantOption(center, scale);
updateWorldMap(activeWorldEqDistProj);
}
});
//set the menu to activeWorldEqDistProj
menu.val(activeWorldEqDistProj);
menu.selectmenu("refresh");
outputWorldEquidistantOption(center, scale);
addWorldMapPreview(center, activeWorldEqDistProj, currentlyDragging);
}
else {
// NOTE: property is equal to "Compromise" in this statement
outputTEXT.append("<p><b>Compromise world map projections</b></p>");
addWorldMapPreview(center, activeWorldComproProj, currentlyDragging);
//loop through global data
for (var i = 6; i < 9; i++) {
outputTEXT.append("<p class='outputText'><span onmouseover='updateWorldMap(\"" + listWorld[i].projection + "\")'><span data-proj-name='" + listWorld[i].projection + "'>" + listWorld[i].projection + "</span>" + stringLinks(listWorld[i].PROJ4, NaN, NaN, NaN, NaN, lng, NaN) + "</span></p>");
}
outputTEXT.append("<p><b>Compromise rectangular world map projections</b></p>");
//loop through global data
for (var i = 9; i < 12; i++) {
outputTEXT.append("<p class='outputText'><span onmouseover='updateWorldMap(\"" + listWorld[i].projection + "\")'><span data-proj-name='" + listWorld[i].projection + "'>" + listWorld[i].projection + "</span>" + stringLinks(listWorld[i].PROJ4, NaN, NaN, NaN, NaN, lng, NaN) + "</span></p>");
}
worldCM(lng, outputTEXT);
outputTEXT.append("<p><b>Note:</b> Rectangular projections are not generally recommended for most world maps.</p>");
}
}
function outputWorldEquidistantOption(center, scale) {
var outputTEXT = $("#worldEquidistantBox").empty();
//formating slider steps
var steps;
if ( document.getElementById("roundCM").checked || scale < 1.15 ) {
steps = 1.;
}
else if ( scale < 1.32 ) {
steps = 0.5;
}
else {
steps = 0.1;
}
//formating output
if ( activeWorldEqDistProj == "Polar azimuthal equidistant" ) {
lngP_eq = worldValues(center.lng, scale);
//formating pole name
var pole_str = pole_eq > 0 ? "North Pole" : "South Pole";
//creating the output
outputTEXT.append("<p class='outputText'>Distances are correct through or from the <span id='pole_str'>" + pole_str + " - " + stringLinks("aeqd", NaN, pole_eq, NaN, NaN, lngP_eq, NaN) + "</span><br></p>");
outputTEXT.append("<p class='outputText'>Center latitude: <span id='pole_val'>" + formatWorldLAT(pole_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><form id='pole_eq'>" +
"<input type='radio' name='pole_eq' id='North Pole' value='90'><label for='North Pole' style='font-size:11px;'>North Pole</label>" +
"<input type='radio' name='pole_eq' id='South Pole' value='-90'><label for='South Pole' style='font-size:11px;'>South Pole</label>" +
"</form></div>");
$( "#pole_eq" ).change( function( ) {
pole_eq = $('input[name=pole_eq]:checked').val();
pole_str = pole_eq > 0 ? "North Pole" : "South Pole";
document.getElementById("pole_val").innerHTML = formatWorldLAT(pole_eq);
document.getElementById("pole_str").innerHTML = pole_str + " - " + stringLinks("aeqd", NaN, pole_eq, NaN, NaN, lngP_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
});
document.getElementById(pole_str).checked = true;
outputTEXT.append("<p class='outputText'>Central meridian: <span id='lngP_val'>" + formatWorldLON(lngP_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLON(-180.0) + "</div><div class='sliderTextR'>" + formatWorldLON(180.0) + "</div><div id='lngP_eq' class='slider'></div></div>");
$( "#lngP_eq" ).slider({
min: -180.0,
max: 180.0,
step: steps,
value: lngP_eq,
slide: function( event, ui ) {
lngP_eq = ui.value;
document.getElementById("lngP_val").innerHTML = formatWorldLON(lngP_eq);
document.getElementById("pole_str").innerHTML = pole_str + " - " + stringLinks("aeqd", NaN, pole_eq, NaN, NaN, lngP_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lngP_eq = ui.value;
document.getElementById("lngP_val").innerHTML = formatWorldLON(lngP_eq);
document.getElementById("pole_str").innerHTML = pole_str + " - " + stringLinks("aeqd", NaN, pole_eq, NaN, NaN, lngP_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
}
else if ( activeWorldEqDistProj == "Oblique azimuthal equidistant" ) {
lngC_eq = worldValues(center.lng, scale);
latC_eq = worldValues(center.lat, scale);
outputTEXT.append("<p class='outputText'>Distances are correct through or from the center - <span id='aeqd_str'>" + stringLinks("aeqd", NaN, latC_eq, NaN, NaN, lngC_eq, NaN) + "</span></br></p>");
outputTEXT.append("<p class='outputText'>Center latitude: <span id='latC_val'>" + formatWorldLAT(latC_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLAT(-90.0) + "</div><div class='sliderTextR'>" + formatWorldLAT(90.0) + "</div><div id='latC_eq' class='slider'></div></div>");
$( "#latC_eq" ).slider({
min: -90.0,
max: 90.0,
step: steps,
value: latC_eq,
slide: function( event, ui ) {
latC_eq = ui.value;
document.getElementById("latC_val").innerHTML = formatWorldLAT(latC_eq);
document.getElementById("aeqd_str").innerHTML = stringLinks("aeqd", NaN, latC_eq, NaN, NaN, lngC_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
latC_eq = ui.value;
document.getElementById("latC_val").innerHTML = formatWorldLAT(latC_eq);
document.getElementById("aeqd_str").innerHTML = stringLinks("aeqd", NaN, latC_eq, NaN, NaN, lngC_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
outputTEXT.append("<p class='outputText'>Center longitude: <span id='lngC_val'>" + formatWorldLON(lngC_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLON(-180.0) + "</div><div class='sliderTextR'>" + formatWorldLON(180.0) + "</div><div id='lngC_eq' class='slider'></div></div>");
$( "#lngC_eq" ).slider({
min: -180.0,
max: 180.0,
step: steps,
value: lngC_eq,
slide: function( event, ui ) {
lngC_eq = ui.value;
document.getElementById("lngC_val").innerHTML = formatWorldLON(lngC_eq);
document.getElementById("aeqd_str").innerHTML = stringLinks("aeqd", NaN, latC_eq, NaN, NaN, lngC_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lngC_eq = ui.value;
document.getElementById("lngC_val").innerHTML = formatWorldLON(lngC_eq);
document.getElementById("aeqd_str").innerHTML = stringLinks("aeqd", NaN, latC_eq, NaN, NaN, lngC_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
}
else if ( activeWorldEqDistProj == "Two-point equidistant" ) {
outputTEXT.append("<p class='outputText'>Distances are correct through or from two arbitrary points - <span id='tpeqd_str'>" + stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN) + "</span></p>");
outputTEXT.append("<p class='outputText'>First latitude: <span id='lat1_val'>" + formatWorldLAT(lat1_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLAT(-90.0) + "</div><div class='sliderTextR'>" + formatWorldLAT(90.0) + "</div><div id='lat1_eq' class='slider'></div></div>");
$( "#lat1_eq" ).slider({
min: -90.0,
max: 90.0,
step: steps,
value: lat1_eq,
slide: function( event, ui ) {
lat1_eq = ui.value;
document.getElementById("lat1_val").innerHTML = formatWorldLAT(lat1_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lat1_eq = ui.value;
document.getElementById("lat1_val").innerHTML = formatWorldLAT(lat1_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
outputTEXT.append("<p class='outputText'>First longitude: <span id='lng1_val'>" + formatWorldLON(lng1_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLON(-180.0) + "</div><div class='sliderTextR'>" + formatWorldLON(180.0) + "</div><div id='lng1_eq' class='slider'></div></div>");
$( "#lng1_eq" ).slider({
min: -180.0,
max: 180.0,
step: steps,
value: lng1_eq,
slide: function( event, ui ) {
lng1_eq = ui.value;
document.getElementById("lng1_val").innerHTML = formatWorldLON(lng1_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lng1_eq = ui.value;
document.getElementById("lng1_val").innerHTML = formatWorldLON(lng1_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
outputTEXT.append("<p class='outputText'>Second latitude: <span id='lat2_val'>" + formatWorldLAT(lat2_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLAT(-90.0) + "</div><div class='sliderTextR'>" + formatWorldLAT(90.0) + "</div><div id='lat2_eq' class='slider'></div></div>");
$( "#lat2_eq" ).slider({
min: -90.0,
max: 90.0,
step: steps,
value: lat2_eq,
slide: function( event, ui ) {
lat2_eq = ui.value;
document.getElementById("lat2_val").innerHTML = formatWorldLAT(lat2_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lat2_eq = ui.value;
document.getElementById("lat2_val").innerHTML = formatWorldLAT(lat2_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
outputTEXT.append("<p class='outputText'>Second longitude: <span id='lng2_val'>" + formatWorldLON(lng2_eq) + "</span></p>");
outputTEXT.append("<div class='sliderBox'><div class='sliderTextL'>" + formatWorldLON(-180.0) + "</div><div class='sliderTextR'>" + formatWorldLON(180.0) + "</div><div id='lng2_eq' class='slider'></div></div>");
$( "#lng2_eq" ).slider({
min: -180.0,
max: 180.0,
step: steps,
value: lng2_eq,
slide: function( event, ui ) {
lng2_eq = ui.value;
document.getElementById("lng2_val").innerHTML = formatWorldLON(lng2_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, true);
},
stop: function( event, ui ) {
lng2_eq = ui.value;
document.getElementById("lng2_val").innerHTML = formatWorldLON(lng2_eq);
document.getElementById("tpeqd_str").innerHTML = stringLinks("tpeqd", NaN, lat1_eq, lng1_eq, lat2_eq, lng2_eq, NaN);
addWorldMapPreview(center, activeWorldEqDistProj, false);
}
});
}
else {
outputTEXT.append("<p></p><p></p><p>Equidistant world map projection not avaliable</p><p></p><p></p>");
}
}
/***PRINTING HEMISPHERE MAP PROJECTIONS***/
function printHemisphere(property, center, scale) {
//cleaning the output
var outputTEXT = $("#result").empty();
//Formating central meridian
var lon = Math.round(center.lng * 100.) / 100., lonStr, latStr;
//Formating central meridian string
if ( angUnit == "DMS" ){
if (lon < 0)
lonStr = Math.abs(lon) + "º W";
else
lonStr = lon + "º E";
} else {
lonStr = lon + "º";
}
//Formating the output text
if ((Math.abs(latmax) < 23.43665) && (Math.abs(latmin) < 23.43665)) {
//Defining std. parallel
var interval = (latmax - latmin) / 4.;
var latS1 = center.lat + interval, latS2 = center.lat - interval, latStd;
if ((latS1 > 0. && latS2 > 0.) || (latS1 < 0. && latS2 < 0.)) {
latStd = Math.max(Math.abs(latmax), Math.abs(latmin)) / 2.;
} else {
latStd = 0.;
}
latStd = Math.round(latStd * 100.) / 100.;
//Formating std. parallel string
if ( angUnit == "DMS" ){
if (latStd < 0)
latStr = Math.abs(latStd) + "º S";
else
latStr = latStd + "º N";
} else {
latStr = latStd + "º";
}
//Formating the output text
if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Cylindrical equal area";
outputTEXT.append("<p><b>Equal-area projection for maps showing the tropics</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Cylindrical equal-area</span>" +
stringLinks("cea", NaN, NaN, latStd, NaN, lon, NaN) + "</p>");
} else if (property == "Conformal") {
previewMapProjection = activeProjection = "Mercator";
outputTEXT.append("<p><b>Conformal projection for maps showing the tropics</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Mercator</span>" +
stringLinks("merc", NaN, NaN, latStd, NaN, lon, NaN) + "</p>");
} else if (property == "Equidistant") {
previewMapProjection = activeProjection = "Equidistant cylindrical";
outputTEXT.append("<p><b>Equidistant projection for maps showing the tropics</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Equidistant cylindrical</span>" +
stringLinks("eqc", NaN, NaN, latStd, NaN, lon, NaN) + " - distance correct along meridians</p>");
}
outputTEXT.append("<p class='outputText'>Standard parallel: " + latStr + "</p>");
outputTEXT.append("<p class='outputText'>Central meridian: " + lonStr + "</p>");
previewMapLat0 = 0;
}
else {
//Formating central latitude
var lat;
if (center.lat > 85.) {
lat = 90.0;
} else if (center.lat < -85.) {
lat = -90.0;
} else {
lat = Math.round(center.lat * 100.) / 100.;
}
//Formating central latitude string
if ( angUnit == "DMS" ){
if (lat < 0)
latStr = Math.abs(lat) + "º S";
else
latStr = lat + "º N";
} else {
latStr = lat + "º";
}
//Formating the output text
if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Lambert azimuthal equal area";
outputTEXT.append("<p><b>Equal-area projection for maps showing a hemisphere</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Lambert azimuthal equal-area projection</span>" +
stringLinks("laea", NaN, lat, NaN, NaN, lon, NaN) + "</p>");
} else if (property == "Equidistant") {
previewMapProjection = activeProjection = "Azimuthal equidistant";
outputTEXT.append("<p><b>Equidistant projection for maps showing a hemisphere</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Azimuthal equidistant</span>" +
stringLinks("aeqd", NaN, lat, NaN, NaN, lon, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Center latitude: " + latStr + "</p>");
outputTEXT.append("<p class='outputText'>Center longitude: " + lonStr + "</p>");
previewMapLat0 = lat;
}
}
/***PRINTING LARGE-SCALE MAP PROJECTIONS***/
// Set default display for the equidistant projection between pole and equator
var activeEqDistProj = "Equidistant conic";
/*Main large-scale output function*/
function printSmallerArea(property, center, scale) {
//cleaning the output
var outputTEXT = $("#result").empty();
//computing longitude extent
var dlon = (lonmax - lonmin);
//reading central meridian
var lng = outputLON(center.lng, false);
//getting the height-to-width ratio
var ratio = (latmax - latmin) / dlon;
if (latmin > 0.0) {
ratio /= Math.cos (latmin * Math.PI / 180);
} else if (latmax < 0.0) {
ratio /= Math.cos (latmax * Math.PI / 180);
}
//formating the output text
if (property == 'Equidistant') {
outputTEXT.append("<p><b>Regional map projection with correct scale along some lines.</b></p>");
//case: close to poles
if (center.lat > 70) {
previewMapProjection = activeProjection = "Azimuthal equidistant";
previewMapLat0 = 90;
outputTEXT.append("<p><span data-proj-name='" + activeProjection + "'>Polar azimuthal equidistant</span>" +
stringLinks("aeqd", NaN, 90.0, NaN, NaN, center.lng, NaN) +
" - distance correct along any line passing through the pole (i.e., meridian)<br>Central meridian: " + lng + "</p>");
}
else if (center.lat < -70) {
previewMapProjection = activeProjection = "Azimuthal equidistant";
previewMapLat0 = -90;
outputTEXT.append("<p><span data-proj-name='" + activeProjection + "'>Polar azimuthal equidistant</span>" +
stringLinks("aeqd", NaN, -90.0, NaN, NaN, center.lng, NaN) +
" - distance correct along any line passing through the pole (i.e., meridian)<br>Central meridian: " + lng + "</p>");
}
//case: with an north-south extent
else if (ratio > 1.25) {
previewMapProjection = activeProjection = "Cassini";
previewMapLat0 = 0;
outputTEXT.append("<p><span data-proj-name='" + activeProjection + "'>Cassini</span>" +
stringLinks("cass", NaN, NaN, NaN, NaN, center.lng, NaN) +
" - distance correct along any line perpendicular to the central meridian<br>Central meridian: " + lng + "</p>");
}
//case: close to equator
else if (Math.abs(center.lat) < 15.) {
previewMapProjection = activeProjection = "Equidistant cylindrical";
previewMapLat0 = 0;
var latS;
//extent is touching or crossing equator
if ((latmax * latmin) <= 0 )
latS = Math.max(Math.abs(latmax), Math.abs(latmin)) / 2.;
//extent is not crossing equator
else
latS = center.lat;
outputTEXT.append("<p><span data-proj-name='" + activeProjection + "'>Equidistant cylindrical</span>" +
stringLinks("eqc", NaN, NaN, latS, NaN, center.lng, NaN) +
" - distance correct along meridians<br>Standard parallel: " + outputLAT(latS, false) + "<br>Central meridian: " + lng + "</p>");
}
//case: between pole and equator
else {
//computing standard paralles
var interval = (latmax - latmin) / 6;
var latOr = outputLAT(center.lat, false);
var latS1 = outputLAT(latmin + interval, false);
var latS2 = outputLAT(latmax - interval, false);
//updates the active projection
activeProjection = previewMapProjection = activeEqDistProj;
previewMapLat0 = center.lat;
//formating the output
outputTEXT.append("<p class='outputText'><span onmouseover='updateEquidistantMap(\"Equidistant conic\")'><span data-proj-name='Equidistant conic'><b>Equidistant conic</b></span>" +
stringLinks("eqdc", NaN, center.lat, latmin + interval, latmax - interval, center.lng, NaN) +
" - distance correct along meridians</span></p>");
outputTEXT.append("<p class='outputText'><span onmouseover='updateEquidistantMap(\"Equidistant conic\")'>Latitude of origin: " + latOr + "<br>Standard parallel 1: " + latS1 + "<br>Standard parallel 2: " + latS2 + "<br>Central meridian: " + lng + "</span></p>");
outputTEXT.append("<p class='outputText'><br><span onmouseover='updateEquidistantMap(\"Azimuthal equidistant\")'><span data-proj-name='Azimuthal equidistant' ><b>Oblique azimuthal equidistant</b></span>" +
stringLinks("aeqd", NaN, center.lat, NaN, NaN, center.lng, NaN) +
" - distance correct along any line passing through the center of the map (i.e., great circle)</span></p>");
outputTEXT.append("<p class='outputText'><span onmouseover='updateEquidistantMap(\"Azimuthal equidistant\")'>Center latitude: " + outputLAT(center.lat, false) + "<br>Center longitude: " + lng + "</span></p>");
}
outputTEXT.append('<p><b>Note:</b> In some rare cases, it is useful to retain scale along great circles in regional and large-scale maps. Map readers can make precise measurements along these lines that retain scale. It is important to remember that no projection is able to correctly display all distances and that only some distances are retained correctly by these "equidistant" projections.</p>');
}
//case: very large scale, Universal Polar Stereographic - North Pole
else if ((latmin >= 84.) && (property == "Conformal")) {
//formating the output
previewMapProjection = activeProjection = "Stereographic";
previewMapLat0 = 90;
outputTEXT.append("<p><b>Conformal projection at very large map scale</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, 90.0, NaN, NaN, center.lng, 0.994) + "</p>");
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
outputTEXT.append("<p class='outputText'>Scale factor: 0.994</p>");
}
//case: very large scale, Universal Polar Stereographic - South Pole
else if ((latmax <= -80.) && (property == "Conformal")) {
//formating the output
previewMapProjection = activeProjection = "Stereographic";
previewMapLat0 = -90;
outputTEXT.append("<p><b>Conformal projection at very large map scale</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, -90.0, NaN, NaN, center.lng, 0.994) + "</p>");
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
outputTEXT.append("<p class='outputText'>Scale factor: 0.994</p>");
}
//case: very large scale, like on "state plane" coord. sys.
else if ((dlon <= 3.) && (property == "Conformal")) {
//formating the output
previewMapProjection = activeProjection = "Transverse Mercator";
previewMapLat0 = 0;
outputTEXT.append("<p><b>Conformal projection at very large map scale</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Transverse Mercator</span>" +
stringLinks("tmerc", 500000.0, NaN, NaN, NaN, center.lng, 0.9999) + "</p>");
outputTEXT.append("<p class='outputText'>False easting: 500000.0</p>");
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
outputTEXT.append("<p class='outputText'>Scale factor: 0.9999</p>");
}
//case: very large scale, like Universal Transverse Mercator
else if ( (dlon <= 6.) && (property == "Conformal")) {
//formating the output
previewMapProjection = activeProjection = "Transverse Mercator";
previewMapLat0 = 0;
outputTEXT.append("<p><b>Conformal projection at very large map scale</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Transverse Mercator</span>" +
stringLinks("tmerc", 500000.0, NaN, NaN, NaN, center.lng, 0.9996) + "</p>");
outputTEXT.append("<p class='outputText'>False easting: 500000.0</p>");
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
outputTEXT.append("<p class='outputText'>Scale factor: 0.9996</p>");
}
else {
//Different map formats
if (ratio > 1.25) {
//Regional maps with an north-south extent
printNSextent(property, center);
} else if (ratio < 0.8) {
//Regional maps with an east-west extent
printEWextent(property, center, scale);
} else {
//Regional maps in square format
printSquareFormat(property, center);
}
}
if (scale > 260) {
//general note for maps showing a smaller area
outputTEXT.append("<p class='outputText'>_________________________________________<br>For maps at this scale, you can also use the state’s official projection. Most countries use a conformal projection for their official large-scale maps. You can search for official projections by area of interest in the <a target='_blank' href='https://epsg.org/'>EPSG Geodetic Parameter Dataset</a>.</p>");
}
}
/*Funcion for regional maps in square format*/
function printSquareFormat(property, center) {
//cleaning the output
var outputTEXT = $("#result").empty();
//computing central meridian
var lng = outputLON(center.lng, false);
//formating the output
if (property == "Conformal") {
outputTEXT.append("<p><b>Conformal projection for regional maps in square format</b></p>");
previewMapProjection = activeProjection = "Stereographic";
} else if (property == 'Equalarea') {
outputTEXT.append("<p><b>Equal-area projection for regional maps in square format</b></p>");
previewMapProjection = activeProjection = "Lambert azimuthal equal area";
}
//case: close to poles
if (center.lat > 75.) {
previewMapLat0 = 90;
if (property == "Conformal") {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
}
else if (center.lat < -75.) {
previewMapLat0 = -90;
if (property == "Conformal") {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
}
//case: close to equator and crossing it
else if (Math.abs(center.lat) < 15. && (latmax * latmin) <= 0) {
previewMapLat0 = 0;
if (property == "Conformal") {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Equatorial stereographic</span>"
+ stringLinks("stere", NaN, 0.0, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Equatorial Lambert azimuthal equal-area</span>"
+ stringLinks("laea", NaN, 0.0, NaN, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
}
//case: between pole and equator
else {
//formating coordinates of the center
var center_text = "Center latitude: " + outputLAT(center.lat, false) + "<br>Center longitude: " + lng;
previewMapLat0 = center.lat;
if (property == "Conformal") {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Oblique stereographic</span>"
+ stringLinks("stere", NaN, center.lat, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Oblique Lambert azimuthal equal-area</span>"
+ stringLinks("laea", NaN, center.lat, NaN, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>" + center_text + "</p>");
}
printScaleFactorNote(outputTEXT, property);
}
/*Funcion for regional maps with an north-south extent*/
function printNSextent(property, center) {
//cleaning the output
var outputTEXT = $("#result").empty();
//computing central meridian
var lng = outputLON(center.lng, false);
//formating the output
if (property == "Conformal") {
previewMapProjection = activeProjection = "Transverse Mercator";
outputTEXT.append("<p><b>Conformal projection for regional maps with an north-south extent</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Transverse Mercator</span>" +
stringLinks("tmerc", NaN, NaN, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Transverse cylindrical equal area";
outputTEXT.append("<p><b>Equal-area projection for regional maps with an north-south extent</b></p>");
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Transverse cylindrical equal-area</span>" +
stringLinks("tcea", NaN, NaN, NaN, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
previewMapLat0 = 0;
//formating the output note
printScaleFactorNote(outputTEXT, property);
if (property == "Equalarea") {
outputTEXT.append("<p><b>Note:</b> To reduce overall distortion on the map, one can also compress the map in the north-south direction (with a factor <i>s</i>) and expand the map in east-west direction (with a factor 1 / <i>s</i>). The factor <i>s</i> can be determined with a trial-and-error approach, comparing the distortion patterns along the center and at the border of the map.</p>");
}
}
/*Funcion for regional maps with an east-west extent*/
function printEWextent(property, center, scale) {
//cleaning the output
var outputTEXT = $("#result").empty();
//computing central meridian
var lng = outputLON(center.lng, false);
//Show scale note
var scaleNote = false;
//formating the output
if (property == "Conformal") {
outputTEXT.append("<p><b>Conformal projection for regional maps with an east-west extent</b></p>");
} else if (property == 'Equalarea') {
outputTEXT.append("<p><b>Equal-area projection for regional maps with an east-west extent</b></p>");
}
//case: close to poles
if (center.lat > 70) {
previewMapLat0 = 90;
if (property == "Conformal") {
previewMapProjection = activeProjection = "Stereographic";
scaleNote = true;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Lambert azimuthal equal area";
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
}
else if (center.lat < -70) {
previewMapLat0 = -90;
if (property == "Conformal") {
previewMapProjection = activeProjection = "Stereographic";
scaleNote = true;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Lambert azimuthal equal area";
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
}
//case: close to equator
else if (Math.abs(center.lat) < 15.) {
previewMapLat0 = 0;
var latS;
//extent is touching or crossing equator
if ((latmax * latmin) <= 0 )
latS = Math.max(Math.abs(latmax), Math.abs(latmin)) / 2.;
//extent is not crossing equator
else
latS = center.lat;
if (property == "Conformal") {
previewMapProjection = activeProjection = "Mercator";
scaleNote = true;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Mercator</span>" +
stringLinks("merc", NaN, NaN, latS, NaN, center.lng, NaN) + "</p>");
} else if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Cylindrical equal area";
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Cylindrical equal-area</span>" +
stringLinks("cea", NaN, NaN, latS, NaN, center.lng, NaN) + "</p>");
}
outputTEXT.append("<p class='outputText'>Standard parallel: " + outputLAT(latS, false) + "</p>");
}
//case: between pole and equator
else {
//formating coordinates of the center
var interval = (latmax - latmin) / 6.;
var latOr = outputLAT(center.lat, false);
var latS1 = outputLAT(latmin + interval, false);
var latS2 = outputLAT(latmax - interval, false);
previewMapLat0 = center.lat;
if (property == "Conformal") {
previewMapProjection = activeProjection = "Lambert conformal conic";
//Check if the fan of the selected extent exposes a cone opening at a pole
if (checkConicOK(center.lat, center.lng, previewMapProjection) > 0) {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Lambert conformal conic</span>" +
stringLinks("lcc", NaN, center.lat, latmin + interval, latmax - interval, center.lng, NaN) + '</p>');
outputTEXT.append("<p class='outputText'>Latitude of origin: " + latOr + "<br>Standard parallel 1: " + latS1 + "<br>Standard parallel 2: " + latS2 + "</p>");
}
//When the fan of the selected extent exposes a cone opening at a pole
else {
previewMapProjection = activeProjection = "Stereographic";
scaleNote = true;
//North Pole case
if (center.lat > 0) {
previewMapLat0 = 90;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
//South Pole case
else {
previewMapLat0 = -90;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar stereographic</span>" +
stringLinks("stere", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
}
}
else if (property == 'Equalarea') {
previewMapProjection = activeProjection = "Albers equal area conic";
//Check if the fan of the selected extent exposes a cone opening at a pole
var conicTest = checkConicOK(center.lat, center.lng, previewMapProjection);
if (conicTest > 0) {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Albers equal-area conic</span>" +
stringLinks("aea", NaN, center.lat, latmin + interval, latmax - interval, center.lng, NaN) + '</p>');
outputTEXT.append("<p class='outputText'>Latitude of origin: " + latOr + "<br>Standard parallel 1: " + latS1 + "<br>Standard parallel 2: " + latS2 + "</p>");
}
//When the fan of the selected extent exposes a cone opening at a pole
else {
previewMapProjection = activeProjection = "Lambert azimuthal equal area";
//Case when the fan of the selected extent spans less than 180deg around a pole
if (conicTest == 0) {
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Oblique Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, center.lat, NaN, NaN, center.lng, NaN) + "</p>");
outputTEXT.append("<p class='outputText'>Latitude of origin: " + outputLAT(center.lat, false) + "</p>");
}
//North Pole case
else if (center.lat > 0) {
previewMapLat0 = 90;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, 90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
//South Pole case
else {
previewMapLat0 = -90;
outputTEXT.append("<p class='outputText'><span data-proj-name='" + activeProjection + "'>Polar Lambert azimuthal equal-area</span>" +
stringLinks("laea", NaN, -90.0, NaN, NaN, center.lng, NaN) + "</p>");
}
}
}
}
outputTEXT.append("<p class='outputText'>Central meridian: " + lng + "</p>");
//printing the scale factor note when case is close to pole or equator
if (scaleNote) {
printScaleFactorNote(outputTEXT, property);