import adjust_lon from '../common/adjust_lon'; export function init() { this.a = 6377397.155; this.es = 0.006674372230614; this.e = Math.sqrt(this.es); if (!this.lat0) { this.lat0 = 0.863937979737193; } if (!this.long0) { this.long0 = 0.7417649320975901 - 0.308341501185665; } /* if scale not set default to 0.9999 */ if (!this.k0) { this.k0 = 0.9999; } this.s45 = 0.785398163397448; /* 45 */ this.s90 = 2 * this.s45; this.fi0 = this.lat0; this.e2 = this.es; this.e = Math.sqrt(this.e2); this.alfa = Math.sqrt(1 + (this.e2 * Math.pow(Math.cos(this.fi0), 4)) / (1 - this.e2)); this.uq = 1.04216856380474; this.u0 = Math.asin(Math.sin(this.fi0) / this.alfa); this.g = Math.pow((1 + this.e * Math.sin(this.fi0)) / (1 - this.e * Math.sin(this.fi0)), this.alfa * this.e / 2); this.k = Math.tan(this.u0 / 2 + this.s45) / Math.pow(Math.tan(this.fi0 / 2 + this.s45), this.alfa) * this.g; this.k1 = this.k0; this.n0 = this.a * Math.sqrt(1 - this.e2) / (1 - this.e2 * Math.pow(Math.sin(this.fi0), 2)); this.s0 = 1.37008346281555; this.n = Math.sin(this.s0); this.ro0 = this.k1 * this.n0 / Math.tan(this.s0); this.ad = this.s90 - this.uq; } /* ellipsoid */ /* calculate xy from lat/lon */ /* Constants, identical to inverse transform function */ export function forward(p) { var gfi, u, deltav, s, d, eps, ro; var lon = p.x; var lat = p.y; var delta_lon = adjust_lon(lon - this.long0); /* Transformation */ gfi = Math.pow(((1 + this.e * Math.sin(lat)) / (1 - this.e * Math.sin(lat))), (this.alfa * this.e / 2)); u = 2 * (Math.atan(this.k * Math.pow(Math.tan(lat / 2 + this.s45), this.alfa) / gfi) - this.s45); deltav = -delta_lon * this.alfa; s = Math.asin(Math.cos(this.ad) * Math.sin(u) + Math.sin(this.ad) * Math.cos(u) * Math.cos(deltav)); d = Math.asin(Math.cos(u) * Math.sin(deltav) / Math.cos(s)); eps = this.n * d; ro = this.ro0 * Math.pow(Math.tan(this.s0 / 2 + this.s45), this.n) / Math.pow(Math.tan(s / 2 + this.s45), this.n); p.y = ro * Math.cos(eps) / 1; p.x = ro * Math.sin(eps) / 1; if (!this.czech) { p.y *= -1; p.x *= -1; } return (p); } /* calculate lat/lon from xy */ export function inverse(p) { var u, deltav, s, d, eps, ro, fi1; var ok; /* Transformation */ /* revert y, x*/ var tmp = p.x; p.x = p.y; p.y = tmp; if (!this.czech) { p.y *= -1; p.x *= -1; } ro = Math.sqrt(p.x * p.x + p.y * p.y); eps = Math.atan2(p.y, p.x); d = eps / Math.sin(this.s0); s = 2 * (Math.atan(Math.pow(this.ro0 / ro, 1 / this.n) * Math.tan(this.s0 / 2 + this.s45)) - this.s45); u = Math.asin(Math.cos(this.ad) * Math.sin(s) - Math.sin(this.ad) * Math.cos(s) * Math.cos(d)); deltav = Math.asin(Math.cos(s) * Math.sin(d) / Math.cos(u)); p.x = this.long0 - deltav / this.alfa; fi1 = u; ok = 0; var iter = 0; do { p.y = 2 * (Math.atan(Math.pow(this.k, - 1 / this.alfa) * Math.pow(Math.tan(u / 2 + this.s45), 1 / this.alfa) * Math.pow((1 + this.e * Math.sin(fi1)) / (1 - this.e * Math.sin(fi1)), this.e / 2)) - this.s45); if (Math.abs(fi1 - p.y) < 0.0000000001) { ok = 1; } fi1 = p.y; iter += 1; } while (ok === 0 && iter < 15); if (iter >= 15) { return null; } return (p); } export var names = ["Krovak", "krovak"]; export default { init: init, forward: forward, inverse: inverse, names: names };