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- import adjust_lon from '../common/adjust_lon';
- export function init() {}
- import {EPSLN} from '../constants/values';
- /* Mollweide forward equations--mapping lat,long to x,y
- ----------------------------------------------------*/
- export function forward(p) {
- /* Forward equations
- -----------------*/
- var lon = p.x;
- var lat = p.y;
- var delta_lon = adjust_lon(lon - this.long0);
- var theta = lat;
- var con = Math.PI * Math.sin(lat);
- /* Iterate using the Newton-Raphson method to find theta
- -----------------------------------------------------*/
- while (true) {
- var delta_theta = -(theta + Math.sin(theta) - con) / (1 + Math.cos(theta));
- theta += delta_theta;
- if (Math.abs(delta_theta) < EPSLN) {
- break;
- }
- }
- theta /= 2;
- /* If the latitude is 90 deg, force the x coordinate to be "0 + false easting"
- this is done here because of precision problems with "cos(theta)"
- --------------------------------------------------------------------------*/
- if (Math.PI / 2 - Math.abs(lat) < EPSLN) {
- delta_lon = 0;
- }
- var x = 0.900316316158 * this.a * delta_lon * Math.cos(theta) + this.x0;
- var y = 1.4142135623731 * this.a * Math.sin(theta) + this.y0;
- p.x = x;
- p.y = y;
- return p;
- }
- export function inverse(p) {
- var theta;
- var arg;
- /* Inverse equations
- -----------------*/
- p.x -= this.x0;
- p.y -= this.y0;
- arg = p.y / (1.4142135623731 * this.a);
- /* Because of division by zero problems, 'arg' can not be 1. Therefore
- a number very close to one is used instead.
- -------------------------------------------------------------------*/
- if (Math.abs(arg) > 0.999999999999) {
- arg = 0.999999999999;
- }
- theta = Math.asin(arg);
- var lon = adjust_lon(this.long0 + (p.x / (0.900316316158 * this.a * Math.cos(theta))));
- if (lon < (-Math.PI)) {
- lon = -Math.PI;
- }
- if (lon > Math.PI) {
- lon = Math.PI;
- }
- arg = (2 * theta + Math.sin(2 * theta)) / Math.PI;
- if (Math.abs(arg) > 1) {
- arg = 1;
- }
- var lat = Math.asin(arg);
- p.x = lon;
- p.y = lat;
- return p;
- }
- export var names = ["Mollweide", "moll"];
- export default {
- init: init,
- forward: forward,
- inverse: inverse,
- names: names
- };
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