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- 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
- };
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