106 lines
2.5 KiB
JavaScript

var adjust_lon = require('../common/adjust_lon');
var adjust_lat = require('../common/adjust_lat');
var pj_enfn = require('../common/pj_enfn');
var MAX_ITER = 20;
var pj_mlfn = require('../common/pj_mlfn');
var pj_inv_mlfn = require('../common/pj_inv_mlfn');
var HALF_PI = Math.PI/2;
var EPSLN = 1.0e-10;
var asinz = require('../common/asinz');
exports.init = function() {
/* Place parameters in static storage for common use
-------------------------------------------------*/
if (!this.sphere) {
this.en = pj_enfn(this.es);
}
else {
this.n = 1;
this.m = 0;
this.es = 0;
this.C_y = Math.sqrt((this.m + 1) / this.n);
this.C_x = this.C_y / (this.m + 1);
}
};
/* Sinusoidal forward equations--mapping lat,long to x,y
-----------------------------------------------------*/
exports.forward = function(p) {
var x, y;
var lon = p.x;
var lat = p.y;
/* Forward equations
-----------------*/
lon = adjust_lon(lon - this.long0);
if (this.sphere) {
if (!this.m) {
lat = this.n !== 1 ? Math.asin(this.n * Math.sin(lat)) : lat;
}
else {
var k = this.n * Math.sin(lat);
for (var i = MAX_ITER; i; --i) {
var V = (this.m * lat + Math.sin(lat) - k) / (this.m + Math.cos(lat));
lat -= V;
if (Math.abs(V) < EPSLN) {
break;
}
}
}
x = this.a * this.C_x * lon * (this.m + Math.cos(lat));
y = this.a * this.C_y * lat;
}
else {
var s = Math.sin(lat);
var c = Math.cos(lat);
y = this.a * pj_mlfn(lat, s, c, this.en);
x = this.a * lon * c / Math.sqrt(1 - this.es * s * s);
}
p.x = x;
p.y = y;
return p;
};
exports.inverse = function(p) {
var lat, temp, lon, s;
p.x -= this.x0;
lon = p.x / this.a;
p.y -= this.y0;
lat = p.y / this.a;
if (this.sphere) {
lat /= this.C_y;
lon = lon / (this.C_x * (this.m + Math.cos(lat)));
if (this.m) {
lat = asinz((this.m * lat + Math.sin(lat)) / this.n);
}
else if (this.n !== 1) {
lat = asinz(Math.sin(lat) / this.n);
}
lon = adjust_lon(lon + this.long0);
lat = adjust_lat(lat);
}
else {
lat = pj_inv_mlfn(p.y / this.a, this.es, this.en);
s = Math.abs(lat);
if (s < HALF_PI) {
s = Math.sin(lat);
temp = this.long0 + p.x * Math.sqrt(1 - this.es * s * s) / (this.a * Math.cos(lat));
//temp = this.long0 + p.x / (this.a * Math.cos(lat));
lon = adjust_lon(temp);
}
else if ((s - EPSLN) < HALF_PI) {
lon = this.long0;
}
}
p.x = lon;
p.y = lat;
return p;
};
exports.names = ["Sinusoidal", "sinu"];