tethys-feature-service/node_modules/proj4/lib/projections/poly.js

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2023-10-02 13:04:02 +00:00
import e0fn from '../common/e0fn';
import e1fn from '../common/e1fn';
import e2fn from '../common/e2fn';
import e3fn from '../common/e3fn';
import adjust_lon from '../common/adjust_lon';
import adjust_lat from '../common/adjust_lat';
import mlfn from '../common/mlfn';
import {EPSLN} from '../constants/values';
import gN from '../common/gN';
var MAX_ITER = 20;
export function init() {
/* Place parameters in static storage for common use
-------------------------------------------------*/
this.temp = this.b / this.a;
this.es = 1 - Math.pow(this.temp, 2); // devait etre dans tmerc.js mais n y est pas donc je commente sinon retour de valeurs nulles
this.e = Math.sqrt(this.es);
this.e0 = e0fn(this.es);
this.e1 = e1fn(this.es);
this.e2 = e2fn(this.es);
this.e3 = e3fn(this.es);
this.ml0 = this.a * mlfn(this.e0, this.e1, this.e2, this.e3, this.lat0); //si que des zeros le calcul ne se fait pas
}
/* Polyconic forward equations--mapping lat,long to x,y
---------------------------------------------------*/
export function forward(p) {
var lon = p.x;
var lat = p.y;
var x, y, el;
var dlon = adjust_lon(lon - this.long0);
el = dlon * Math.sin(lat);
if (this.sphere) {
if (Math.abs(lat) <= EPSLN) {
x = this.a * dlon;
y = -1 * this.a * this.lat0;
}
else {
x = this.a * Math.sin(el) / Math.tan(lat);
y = this.a * (adjust_lat(lat - this.lat0) + (1 - Math.cos(el)) / Math.tan(lat));
}
}
else {
if (Math.abs(lat) <= EPSLN) {
x = this.a * dlon;
y = -1 * this.ml0;
}
else {
var nl = gN(this.a, this.e, Math.sin(lat)) / Math.tan(lat);
x = nl * Math.sin(el);
y = this.a * mlfn(this.e0, this.e1, this.e2, this.e3, lat) - this.ml0 + nl * (1 - Math.cos(el));
}
}
p.x = x + this.x0;
p.y = y + this.y0;
return p;
}
/* Inverse equations
-----------------*/
export function inverse(p) {
var lon, lat, x, y, i;
var al, bl;
var phi, dphi;
x = p.x - this.x0;
y = p.y - this.y0;
if (this.sphere) {
if (Math.abs(y + this.a * this.lat0) <= EPSLN) {
lon = adjust_lon(x / this.a + this.long0);
lat = 0;
}
else {
al = this.lat0 + y / this.a;
bl = x * x / this.a / this.a + al * al;
phi = al;
var tanphi;
for (i = MAX_ITER; i; --i) {
tanphi = Math.tan(phi);
dphi = -1 * (al * (phi * tanphi + 1) - phi - 0.5 * (phi * phi + bl) * tanphi) / ((phi - al) / tanphi - 1);
phi += dphi;
if (Math.abs(dphi) <= EPSLN) {
lat = phi;
break;
}
}
lon = adjust_lon(this.long0 + (Math.asin(x * Math.tan(phi) / this.a)) / Math.sin(lat));
}
}
else {
if (Math.abs(y + this.ml0) <= EPSLN) {
lat = 0;
lon = adjust_lon(this.long0 + x / this.a);
}
else {
al = (this.ml0 + y) / this.a;
bl = x * x / this.a / this.a + al * al;
phi = al;
var cl, mln, mlnp, ma;
var con;
for (i = MAX_ITER; i; --i) {
con = this.e * Math.sin(phi);
cl = Math.sqrt(1 - con * con) * Math.tan(phi);
mln = this.a * mlfn(this.e0, this.e1, this.e2, this.e3, phi);
mlnp = this.e0 - 2 * this.e1 * Math.cos(2 * phi) + 4 * this.e2 * Math.cos(4 * phi) - 6 * this.e3 * Math.cos(6 * phi);
ma = mln / this.a;
dphi = (al * (cl * ma + 1) - ma - 0.5 * cl * (ma * ma + bl)) / (this.es * Math.sin(2 * phi) * (ma * ma + bl - 2 * al * ma) / (4 * cl) + (al - ma) * (cl * mlnp - 2 / Math.sin(2 * phi)) - mlnp);
phi -= dphi;
if (Math.abs(dphi) <= EPSLN) {
lat = phi;
break;
}
}
//lat=phi4z(this.e,this.e0,this.e1,this.e2,this.e3,al,bl,0,0);
cl = Math.sqrt(1 - this.es * Math.pow(Math.sin(lat), 2)) * Math.tan(lat);
lon = adjust_lon(this.long0 + Math.asin(x * cl / this.a) / Math.sin(lat));
}
}
p.x = lon;
p.y = lat;
return p;
}
export var names = ["Polyconic", "poly"];
export default {
init: init,
forward: forward,
inverse: inverse,
names: names
};