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map3d.html
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map3d.html
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<!DOCTYPE html>
<!--
Map Projections 3D.
It uses WebGL rendering by Three.js framework.
View maps in different projections.
Ported from Spinnable World Maps at http://vcg.isti.cnr.it/~tarini/spinnableworldmaps/
egax@bk.ru, 2015-23.
-->
<html lang="ru">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Атлас 3d / Canvas+WebGL векторная карта</title>
<meta name="description" content="Проекции 3d WebGL">
<meta name="keywords" content="Проекции 3d, spinnable, maps 3d">
<link rel="icon" href="img/fav.svg" type="image/svg+xml">
<link rel="stylesheet" href="css/style.css">
<style>html,body,table{overflow:hidden;margin:0;padding:0;width:100%;height:100%}</style>
<script src="/static/js/metrics.js" data-floor="1"></script>
</head>
<body>
<script src="js/dbcarta.js"></script>
<script src="js/data/countriesd.js"></script>
<script src="js/data/tledata.js"></script>
<script src="js/data/imgmap.js"></script>
<script src="js/data/gbutterfly.js"></script>
<script src="js/data/gdymaxion.js"></script>
<script src="js/alg/starry.js"></script>
<script src="js/3rdparty/satellite.js"></script>
<script src="js/3rdparty/three.js/Detector.js"></script>
<script src="js/3rdparty/three.js/three.min.js"></script>
<script src="js/3rdparty/three.js/fonts/helvetiker_regular.typeface.js"></script>
<script src="js/3rdparty/three.js/js/controls/OrbitControls.js"></script>
<script>
function initMap() {
if (!Detector.webgl) { // require webgl support
document.body.appendChild(Detector.getWebGLErrorMessage());
return;
}
// canvas 2d layers
var mopt = {
countries: {cls: 'Polygon', fg: 'yellow', bg: 'transparent', labelcolor: 'white', hide:1},
meridians: {cls: 'Line', fg: 'rgb(164,164,164)'},
satsurface: {cls: 'Dot', fg: 'rgba(255,255,220,0.9)', size: '2'},
sattrace: {cls: 'Line', fg: 'rgb(255,255,0)'},
terminator: {cls: 'Polygon', fg: 'rgba(0,0,0,0.3)', bg: 'rgba(0,0,0,0.3)'}
};
var wDivisions = 80,
hDivisions = 60;
var ratio = 0;
var geometry;
var vertexOnSphere;
// list sat
var msat = {};
// MAPS
function buildEquirectangular(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_equirectangular);
}
function buildCassini(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_equirectangular);
var matrixZ = new THREE.Matrix4();
matrixZ.makeRotationZ(Math.PI * 0.5);
var matrixX = new THREE.Matrix4();
matrixX.makeRotationX(Math.PI * 0.5);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI * 0.5);
matrix.multiply(matrixX).multiply(matrixZ);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
geometry.vertices[i].applyMatrix4(matrixZ);
var vec = geometry.vertices[i];
vec.y *= ratio * camera.aspect;
vec.x /= 2 * camera.aspect;
}
}
function buildLambert(){
ratio = 1/Math.PI;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_lambert);
}
function buildBehrmann(){
ratio = 1/2.36;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_lambert);
}
function buildHoboDyer(){
ratio = 0.509;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_lambert);
}
function buildGallStereo(){
ratio = 0.77;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_gallStereo);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildGallPeters(){
ratio = 0.6387;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_gallPeters);
}
function buildAzimuthal(){
ratio = 1;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildCircleMap(0, 0, f_azimuthal);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildLambertAzimuthal(){
ratio = 1;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildCircleMap(0, 0, f_lambertAzimuthal);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI/2);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildMercator(){
ratio = 0.84889;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_mercator);
}
function buildMiller(){
ratio = 0.734375;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildRectangularMap(f_miller);
}
function buildOcta(){
ratio = 1;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildOctaMap(f_octa);
}
function buildOrthographic(){
ratio = 0.5;
var vertices = 0;
geometry = new THREE.Geometry();
vertexOnSphere = [];
vertices = buildCircleMap(-1, vertices, f_orthographic);
buildCircleMap(1, vertices, f_orthographic);
}
function buildStereographic(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
var vertices = 0;
vertices = buildCircleMap(-1, vertices, f_stereographic);
buildCircleMap(1, vertices, f_stereographic);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildGrinten(){
ratio = 1;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildCircleMap(0, 0, f_grinten);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildMollweide(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildEllipticalMap(f_mollweide);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildAitoff(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildEllipticalMap(f_aitoff);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildHammer(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildEllipticalMap(f_hammer);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildKavraiskiy(){
ratio = 0.58;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildPseudoEllipticalMap(f_kavraiskiy);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildCubeMap(){
ratio = 0.75;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildCube(f_cube);
var matrix = new THREE.Matrix4();
matrix.makeRotationY(Math.PI/2);
for (var i = 0; i < geometry.vertices.length; i++){
vertexOnSphere[i].applyMatrix4(matrix);
}
}
function buildCollignon(){
ratio = 0.503;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildCollignonMap(f_collignon);
}
function buildHEALPix(){
ratio = 0.5;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildHEALPiMap(f_healpix);
}
function buildLambertConic(){
//costanti proiezione
var o1 = 0.349;
var o2 = 0.873;
var o0 = Math.PI/2;
var n = Math.log(Math.cos(o1)* 1/Math.cos(o2)) / (Math.log(Math.tan( 0.25*Math.PI +0.5 * o2)* 1/(Math.tan( 0.25*Math.PI +0.5 * o1))));
var f = Math.cos(o1)* Math.exp(Math.tan(0.25*Math.PI +0.5 * o1),n)/n;
var p0= f * Math.exp(1/Math.tan(0.25*Math.PI +0.5 *o0),n);
var signN = n>=0 ? 1 : -1;
var args = new Array(n,f,p0,signN);
//crazione mappa
ratio = 0.6275;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildConicMap(3.655, true, args, f_lConic);
}
function buildAlbersConic(){
//costanti proiezione
var o1 = 0;
var o2 = 1;
var o0 = 0;
var n = 0.5 * ( Math.sin(o1) + Math.sin(o2));
var c = Math.exp(Math.cos(o1),2)+ 2*n*Math.sin(o1);
var p0 = Math.sqrt(c-2*n*Math.sin(o0))/n;
var args = new Array(n,c,p0);
//crazione mappa
ratio = 0.6;
geometry = new THREE.Geometry();
vertexOnSphere = [];
buildConicMap(3, false, args, f_albers);
}
function buildDymaxion(){
ratio = GDYMAXION.ratio;
geometry = new THREE.Geometry();
vertexOnSphere = [];
var v, currentVertex;
for (var i=0; i<GDYMAXION.vertexOnSphere.length; i++) {
v = GDYMAXION.vertexOnSphere[i];
vertexOnSphere.push(new THREE.Vector4(v[0], v[1], v[2], 0));
}
for (var i=0; i<GDYMAXION.vertices.length; i++) {
v = GDYMAXION.vertices[i];
currentVertex = new THREE.Vector3(v[0], v[1], v[2]);
geometry.vertices.push( (currentVertex) );
}
for (var i=0; i<GDYMAXION.faces.length; i++) {
v = GDYMAXION.faces[i];
geometry.faces.push(new THREE.Face3(v[0], v[1], v[2]));
}
rotationMatrix = new THREE.Matrix4(-0.7866391674760586,-0.4127417074743772,-0.45917654894790655,0,
0.4252814425598584,-0.901370892378135, 0.08164685534453028,0,
-0.44758743816910174,-0.13105265081096362,0.8845850371268104,0,
0,0,0,1);
}
function buildButterfly(){
ratio = GBUTTERFLY.ratio;
geometry = new THREE.Geometry();
vertexOnSphere = [];
var v, currentVertex;
for (var i=0; i<GBUTTERFLY.vertexOnSphere.length; i++) {
v = GBUTTERFLY.vertexOnSphere[i];
vertexOnSphere.push(new THREE.Vector4(v[0], v[1], v[2], 0));
}
for (var i=0; i<GBUTTERFLY.vertices.length; i++) {
v = GBUTTERFLY.vertices[i];
currentVertex = new THREE.Vector3(v[0], v[1], v[2]);
geometry.vertices.push( (currentVertex) );
}
for (var i=0; i<GBUTTERFLY.faces.length; i++) {
v = GBUTTERFLY.faces[i];
geometry.faces.push(new THREE.Face3(v[0], v[1], v[2]));
}
}
// ----------------------------
function buildConicMap(radiants, fan, args, f){
//punto centrale
var center = new THREE.Vector3(0, 0, 0);
geometry.vertices.push(center);
vertexOnSphere.push(f(center.x, center.y, args));
var currentVertex;
var startAngle = (Math.PI-radiants)/2;
//generazione vertici
for (var j=1;j<=20;j++){
var radius = (j /20)*Math.sin(Math.PI * j / 40);
for (var i = 0; i <=wDivisions; i ++ ) {
var angle = (i / wDivisions * radiants)+startAngle;
currentVertex = new THREE.Vector3(Math.cos(angle)*radius, -Math.sin(angle)*radius, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y, args));
geometry.vertices.push(normalCoords(currentVertex));
}
}
//offsetY
var offsetY = (1 - geometry.vertices[geometry.vertices.length-1].y);
for(var i=0; i< geometry.vertices.length; i++){
geometry.vertices[i].y += offsetY;
}
//generazione facce parte fan
if(fan)
for (var i = 1; i <=wDivisions; i ++ )
geometry.faces.push(new THREE.Face3(i+1, i, 0));
//generazione facce strips
var skip = fan ? 0 : 7;
for(var j = 1+skip ; j<20;j++){
var start=j*(wDivisions+1)+1;
for (var i =0; i <wDivisions ; i++ ){
var v1 = start-wDivisions -1+i , v2 = v1 + 1;
var v3 = start+i, v4 = v3 + 1;
geometry.faces.push(new THREE.Face3(v3, v1, v2));
geometry.faces.push(new THREE.Face3(v4, v3, v2));
}
}
}
function buildCircleMap(quadrant, vertices, f){
//punto centrale
var center = new THREE.Vector3(quadrant * 0.5, 0, 0);
vertexOnSphere.push(f(center.x, center.y));
geometry.vertices.push(normalCoords(center));
var currentVertex;
//generazione vertici
for (var j=1;j<=20;j++){
var radius = 0.5 * Math.sin(Math.PI * j / 40);
if(quadrant==0)radius*=2;
for (var i = 0; i <wDivisions; i ++ ) {
var angle = i / wDivisions * 2 * Math.PI;
currentVertex = new THREE.Vector3(Math.cos(angle)*radius+0.5*quadrant, Math.sin(angle)*radius, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
}
//generazione facce parte fan
for (var i = 1; i <=wDivisions; i ++ )
if(i==wDivisions)geometry.faces.push(new THREE.Face3(i+vertices, vertices + 1, vertices));
else geometry.faces.push(new THREE.Face3(i+vertices, i + vertices + 1, vertices));
//generazione facce strips
for (var i = wDivisions+1; i <=(wDivisions) *20; i++ ){
var v1 = i-wDivisions + vertices, v2 = v1 + 1;
var v3 = i +vertices, v4 = i + vertices+ 1;
if(i % wDivisions == 0){
v2 -= wDivisions;
v4 -= wDivisions;
}
geometry.faces.push(new THREE.Face3(v1, v4, v2));
geometry.faces.push(new THREE.Face3(v1, v3, v4));
}
vertices = geometry.vertices.length;
return vertices;
}
function buildCube(f){
var wDivisions = 48,
hDivisions = 35;
hDivisions=Math.ceil(hDivisions/3);
var wStep = 2/wDivisions;
var hStep = 2/hDivisions * ratio;
var currentVertex;
//generazione vertici striscia centrale
for (var i=0; i<=hDivisions; i++)
for (var j=0; j<=wDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -1 , (hStep * i -ratio)/3 , 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
//generazione facce
var v1,v2,v3,v4;
for (var i=0; i<hDivisions; i++)
for (var j=0; j<wDivisions; j++){
v1 = i * (wDivisions + 1) + j;
v2 = v1 + 1;
v3 = v1 + wDivisions + 1;
v4 = v3 + 1;
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
var qDivisions=Math.floor(wDivisions/4);
//generazione vertici quadrato alto
for (var i=0; i<=qDivisions; i++)
for (var j=0; j<=qDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -0.5 , (hStep * i -ratio)/3+0.5 , 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
//generazione facce
for (var i=0; i<hDivisions; i++)
for (var j=0; j<qDivisions; j++){
v1 = (i+wDivisions+1) * (qDivisions + 1) + j;
v2 = v1 + 1;
v3 = v1 + qDivisions + 1;
v4 = v3 + 1;
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
//generazione vertici quadrato basso
for (var i=0; i<=qDivisions; i++)
for (var j=0; j<=qDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -0.5 , (hStep * i -ratio)/3-0.5 , 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
//generazione facce
for (var i=0; i<hDivisions; i++)
for (var j=0; j<qDivisions; j++){
v1 = (i+wDivisions+qDivisions+2) * (qDivisions + 1) + j;
v2 = v1 + 1;
v3 = v1 + qDivisions + 1;
v4 = v3 + 1;
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
}
function buildPseudoEllipticalMap(f){
//punto centrale
var center = new THREE.Vector3(0, 0, 0);
geometry.vertices.push(center);
vertexOnSphere.push(f(center.x, center.y));
var currentVertex;
//generazione vertici
for (var j=1;j<=20;j++){
var radius = 0.5 * Math.sin(Math.PI * j / 40);
for (var i = 0; i <=wDivisions*2; i ++ ) {
var angle = i / wDivisions * Math.PI;
var y = Math.sin(angle)*radius * 1.3 ;
if(y>=0.583) currentVertex = new THREE.Vector3(Math.cos(angle)*radius*2, 0.583, 0);
else if(y<= -0.583) currentVertex = new THREE.Vector3(Math.cos(angle)*radius*2, -0.583, 0);
else currentVertex = new THREE.Vector3(Math.cos(angle)*radius*2, y, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
}
//generazione facce parte fan
for (var i = 1; i <=wDivisions*2; i ++ )
geometry.faces.push(new THREE.Face3(i, i + + 1, 0));
//generazione facce strips
for (var i = wDivisions*2+1; i < (wDivisions*2+1) *20; i++ ){
var v1 = i-wDivisions*2, v2 = v1 + 1;
var v3 = i, v4 = i + 1;
geometry.faces.push(new THREE.Face3(v1, v4, v2));
geometry.faces.push(new THREE.Face3(v1, v3, v4));
}
}
function buildEllipticalMap(f){
//punto centrale
var center = new THREE.Vector3(0, 0, 0);
geometry.vertices.push(center);
vertexOnSphere.push(f(center.x, center.y));
var currentVertex;
for (var j=1;j<=20;j++){
var radius = 0.5 * Math.sin(Math.PI * j / 40);
for (var i = 0; i <=wDivisions*2; i ++ ) {
var angle = i / wDivisions * Math.PI;
currentVertex = new THREE.Vector3(Math.cos(angle)*radius*2, Math.sin(angle)*radius, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
}
//generazione facce parte fan
for (var i = 1; i <=wDivisions*2; i ++ )
geometry.faces.push(new THREE.Face3(i, i + + 1, 0));
//generazione facce strips
for (var i = wDivisions*2+1; i < (wDivisions*2+1) *20; i++ ){
var v1 = i-wDivisions*2, v2 = v1 + 1;
var v3 = i, v4 = i + 1;
geometry.faces.push(new THREE.Face3(v1, v4, v2));
geometry.faces.push(new THREE.Face3(v1, v3, v4));
}
}
function tessellateTriangles(triangles, times, f){
//loop
while(times>0){
var newTriangles=new Array();
//generazione nuovi triangoli
for(var t=0; t < triangles.length; t++){
var triangle = triangles[t];
var v1 = new THREE.Vector3();
v1.addVectors(triangle.a, triangle.b).divideScalar(2);
var v2 = new THREE.Vector3();
v2.addVectors(triangle.b, triangle.c).divideScalar(2);
var v3 = new THREE.Vector3();
v3.addVectors(triangle.c, triangle.a).divideScalar(2);
newTriangles.push(new THREE.Triangle(triangle.a,v1, v3));
newTriangles.push(new THREE.Triangle(v1,triangle.b, v2));
newTriangles.push(new THREE.Triangle(v3,v2,triangle.c));
newTriangles.push(new THREE.Triangle(v2,v3,v1));
}
triangles = newTriangles;
times--;
}
// generazione geometria
for(var t=0; t < triangles.length; t++){
var triangle = triangles[t];
var newVertex = new THREE.Vector3();
newVertex.addVectors(triangle.a, triangle.b).divideScalar(2);
var a = abnormalCoords(triangle.a.clone()),
b = abnormalCoords(triangle.b.clone()),
c = abnormalCoords(triangle.c.clone()),
d = abnormalCoords(newVertex.clone());
vertexOnSphere.push(f(a.x, a.y));
vertexOnSphere.push(f(b.x, b.y));
vertexOnSphere.push(f(c.x, c.y));
vertexOnSphere.push(f(d.x, d.y));
geometry.vertices.push((triangle.a));
geometry.vertices.push((triangle.b));
geometry.vertices.push((triangle.c));
geometry.vertices.push((newVertex));
var l = geometry.vertices.length;
geometry.faces.push(new THREE.Face3(l-4, l-1, l-2));
geometry.faces.push(new THREE.Face3(l-1, l-3, l-2));
}
}
function buildCollignonMap(f){
var triangles = new Array();
var v0 = normalCoords(new THREE.Vector3(-1, 0, 0));
var v1 = normalCoords(new THREE.Vector3( 1, 0, 0));
var v2 = normalCoords(new THREE.Vector3( 0, ratio, 0));
var v3 = normalCoords(new THREE.Vector3( 0, -ratio, 0));
triangles.push(new THREE.Triangle(v0, v1, v2));
triangles.push(new THREE.Triangle(v1, v0, v3));
tessellateTriangles(triangles,5,f);
}
function buildHEALPiMap(f){
//parte centrale
var wStep = 2/wDivisions;
var hStep = 0.93/hDivisions * ratio;
var currentVertex;
//generazione vertici
for (var i=0; i<=hDivisions; i++)
for (var j=0; j<=wDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -1 , hStep * i -ratio + 0.2675 , 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
//generazione facce
var v1,v2,v3,v4;
for (var i=0; i<hDivisions; i++)
for (var j=0; j<wDivisions; j++){
v1 = i * (wDivisions + 1) + j;
v2 = v1 + 1;
v3 = v1 + wDivisions + 1;
v4 = v3 + 1;
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
//triangoli
var limit = 0.2325;
var triangles = new Array();
for(var i=0; i<8;i++){
var sign = i>3 ? -1: 1;
v1 = normalCoords(new THREE.Vector3((-1+i%4*0.5), limit*sign, 0));
v2 = normalCoords(new THREE.Vector3((-0.5+i%4*0.5),limit*sign , 0));
v3 = normalCoords(new THREE.Vector3((-0.75+i%4*0.5), ratio*sign, 0));
if(i<4)triangles.push(new THREE.Triangle(v1, v2, v3));
else triangles.push(new THREE.Triangle(v2, v1, v3));
}
tessellateTriangles(triangles,4,f);
}
function buildRectangularMap(f){
var wStep = 2/wDivisions,
hStep = 2/hDivisions * ratio;
var currentVertex,v1,v2,v3,v4;
for (var i=0; i<=hDivisions; i++){
for (var j=0; j<=wDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -1 , hStep * i -ratio, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
//generazione facce
v1 = (i-1) * (wDivisions + 1) + (j-1);
v2 = v1 + 1;
v3 = v1 + wDivisions + 1;
v4 = v3 + 1;
if (v1 >= 0) {
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
}
}
}
//geometria mappe rettangolari x octamap
function buildOctaMap(f){
var wStep = 2/wDivisions;
var currentVertex;
//generazione vertici
for (var i=0; i<=wDivisions; i++)
for (var j=0; j<=wDivisions; j++){
currentVertex = new THREE.Vector3(wStep * j -1 , wStep * i -ratio, 0);
vertexOnSphere.push(f(currentVertex.x, currentVertex.y));
geometry.vertices.push(normalCoords(currentVertex));
}
//generazione facce
var v1,v2,v3,v4;
for (var i=0; i<wDivisions; i++)
for (var j=0; j<wDivisions; j++){
v1 = i * (wDivisions + 1) + j;
v2 = v1 + 1;
v3 = v1 + wDivisions + 1;
v4 = v3 + 1;
var vertex = geometry.vertices[v2];
var vertex2 = geometry.vertices[v3];
if(vertex.x <= 0 && vertex.y >= 0){
geometry.faces.push(new THREE.Face3(v1, v4, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v1));
} else if (vertex2.x >= 0 && vertex2.y <= 0){
geometry.faces.push(new THREE.Face3(v1, v4, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v1));
} else {
geometry.faces.push(new THREE.Face3(v1, v2, v3));
geometry.faces.push(new THREE.Face3(v2, v4, v3));
}
}
}
// ---------------------------
function f_equirectangular(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI + Math.PI ;
var _v = v * Math.PI;
//da lat/long a 3D
var x,y,z;
z = Math.cos(_v) * Math.sin(_u);
y = Math.sin(_v);
x = Math.cos(_v) * Math.cos(_u);
return new THREE.Vector4(x, y, z, 0);
}
function f_lambert(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI + Math.PI ;
var _v = v /ratio;
//da uv a lat/lon
var phi = Math.asin(_v);
var lambda = _u;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda) ;
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_gallStereo(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI;
var _v = v / 2 * Math.PI * Math.sqrt(2);
//da uv a lat/lon
var phi = Math.atan2(_v, 1 + Math.sqrt(2) / 2) * 2;
var lambda = _u;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda);
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_gallPeters(u,v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI + Math.PI;
var _v = v * Math.PI;
//da uv a lat/lon
var phi = Math.asin(_v/2);
if(isNaN(phi)){
var temp =Math.floor(_v/2);
if (temp<0)temp+=1;
phi = Math.asin(temp);
}
var lambda = _u;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda);
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_mercator(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI + Math.PI ;
var _v = v * Math.PI;
//da uv a lat/lon
var phi = 2 * Math.atan(Math.exp(_v)) - Math.PI / 2;
var lambda = _u;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda) ;
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_miller(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI + Math.PI ;
var _v = v * Math.PI;
//da uv a lat/lon
var phi = 2.5 * Math.atan(Math.pow(Math.E, 0.8*_v)) - 0.625 * Math.PI;
var lambda = _u;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda) ;
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_octa(u, v){
var h = 1 - Math.abs(u) - Math.abs(v);
var signU = (u<0) ? -1 : 1;
var signV = (v<0) ? -1 : 1;
var x,y,z;
if (h>=0){
x = u; z = v; y = h;
} else if (signU== signV){
z = signU * (1- Math.abs(u));
x = signV * ( 1-Math.abs(v));
y = h;
} else {
z = -signU * (1- Math.abs(u));
x = -signV * ( 1-Math.abs(v));
y = h;
}
return new THREE.Vector4(x, y, z, 0).normalize();
}
function f_octaT(u, v){
if (u<=0 && v>=0){
u = u * 2 + 1;
v = v * 2 - 1;
} else if (u>0 && v>=0){
u = -u * 2 + 1;
v = -v * 2 + 1;
} else if (u<=0 && v<0){
u = -u * 2 - 1;
v = -v * 2 - 1;
} else {
u = u * 2 - 1;
v = v * 2 + 1;
}
return f_octa(u, v);
}
function f_orthographic(u, v){
//da [-1..1]x[-k..k] a [-1..1..-1]x[-1..1]
v*=2;
var q=0;
if(u<0){
q=-1;
u = 2*u +1;
}
else if(u>0){
u = -2*u +1;
q=1;
}
else u = 1;
//a x,y,z
var x,y,z;
x = -u;
y = v;
if (q==1)z =-Math.sqrt(1 - x*x - y*y);
else z = Math.sqrt(1 - x*x - y*y);
var vector = new THREE.Vector4(x, y, z, 0);
var rotMatrix = new THREE.Matrix4();
rotMatrix.makeRotationY( -90 * Math.PI/180 );
vector.applyMatrix4(rotMatrix);
return vector;
}
function f_stereographic(u, v){
//da [-1..1]x[-k..k] a [-1..1..-1]x[-1..1]
v*=2;
var q=0;
if(u<0){
q=-1;
u = 2*u +1;
}
else if(u>0){
u = -2*u +1;
q=1;
}
else u = 1;
//a x,y,z
var x,y,z;
var den = 1 + u * u + v * v;
x = 2 * u / den;
y = 2 * v / den;
if(q==1)z = -(u * u + v * v - 1) / den;
else z = (u * u + v * v - 1) / den;
return new THREE.Vector4(x, y, z, 0);
}
function f_grinten(u, v){
//da uv a lat/lon
var c1 = -Math.abs(v)*(1+u*u+v*v);
var c2 = c1 - 2*v*v + u*u;
var c3 = -2*c1 + 1 + 2*v*v + (u*u+v*v)*(u*u+v*v);
var d = v*v/c3 + 1/27 *(2*Math.pow(c2, 3)/ Math.pow(c3, 3) - 9*c1*c2/(c3*c3));
var a1 = 1/c3 * (c1 - c2*c2/(3*c3));
var m1 = 2*Math.sqrt(-1/3*a1);
var o1 = 1/3*Math.acos(3*d/(a1*m1));
var sign = (v<0) ? -1 : 1;
if (isNaN(o1)){
var temp =Math.floor(3*d/(a1*m1));
if (temp<0)temp+=1;
o1 = 1/3*Math.acos(temp);
}
var phi = sign * Math.PI * ( -m1 * Math.cos( o1 + 1/3 * Math.PI)- c2/(3*c3) );
var lambda = (Math.PI * Math.abs( u*u + v*v -1 + Math.sqrt( 1+2* (u*u-v*v)+ (u*u+v*v) * (u*u+v*v) ))) /(2*u);
//correzioni
if( Math.abs(u)<0.00001 && Math.abs(v)<0.16){
phi = v*Math.PI;
lambda=0;
}
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda) ;
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_mollweide(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * 2 * Math.sqrt(2);
var _v = v * 2 * Math.sqrt(2);
//da uv a lat/long
var o = Math.asin(_v/Math.sqrt(2));
var phi = Math.asin((2*o + Math.sin(2*o))/Math.PI);
var lambda = (Math.PI *_u) / (2*Math.sqrt(2)*Math.cos(o));
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda) ;
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_aitoff(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI * 0.50;
var _v = v * Math.PI;
//da uv a lat/lon
var phi;
var lambda;
var c = Math.sqrt(_v*_v + _u*_u);
if (c==0){
phi = 0;
lambda = 0;
} else {
phi = Math.asin(_v * Math.sin(c) / c);
lambda = Math.atan2(_u * Math.sin(c), c * Math.cos(c));
}
lambda *=2;
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda);
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_hammer(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * 2 * Math.sqrt(2);
var _v = v * 2 * Math.sqrt(2);
//da uv a lat/lon
var serv = Math.sqrt(1 - (0.25 * _u)*(0.25 * _u) - (0.5 * _v)*(0.5 * _v));
var phi = Math.asin(serv * _v);
var lambda = 2 * Math.atan2(serv * _u, 2*(2 * serv * serv -1 ));
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda);
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_kavraiskiy(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI * 0.869;
var _v = v * Math.PI * 0.869;
//da uv a lat/lon
var phi = _v;
var lambda = 2 *_u /( 3* Math.sqrt(1/3 - (_v/Math.PI)*(_v/Math.PI)) );
//da lat/long a 3D
var x,y,z;
z = Math.cos(phi) * Math.sin(lambda);
y = Math.sin(phi);
x = Math.cos(phi) * Math.cos(lambda);
return new THREE.Vector4(x, y, z, 0);
}
function f_azimuthal(u, v){
//da [-1..1]x[-k..k] a [-Pi..Pi]x[-k Pi..kPi]
var _u = u * Math.PI ;
var _v = v * Math.PI;
//da uv a lat/lon
var phi ;
var lambda ;
var c = Math.sqrt(_v*_v + _u*_u);
if (c==0){
phi = 0;
lambda = 0;
} else {
phi = Math.asin(_v * Math.sin(c) / c);
lambda = Math.atan2(_u * Math.sin(c), c * Math.cos(c));
}
//da lat/long a 3D