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Calculate Geodesic Distance with Vincenty(1975) method in JavaScript
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/** | |
* Vincenty75 測地線距離計算式 | |
* @param {number} lat1 | |
* @param {number} lon1 | |
* @param {number} lat2 | |
* @param {number} lon2 | |
* @return {number} distance [m] | |
*/ | |
function vincenty(lat1, lon1, lat2, lon2){ | |
"use strict"; | |
const a = 6378137.0; | |
const f = 1 / 298.257223563; | |
const b = (1 - f) * a; | |
const e2 = f * (2 - f); | |
const degree = Math.PI / 180.0; | |
const L = (lon2 - lon1) * degree; | |
const tanT1 = (1 - f) * Math.tan(lat1 * degree); | |
const cosT1 = 1 / Math.sqrt(1 + tanT1 * tanT1); | |
const sinT1 = tanT1 * cosT1; | |
const tanT2 = (1 - f) * Math.tan(lat2 * degree); | |
const cosT2 = 1 / Math.sqrt(1 + tanT2 * tanT2); | |
const sinT2 = tanT2 * cosT2; | |
let l = L, lold, sinl, cosl, sinS, cosS, S, sinA, cos2A, cos2Sm, C; | |
for(let i = 0; i < 2000; i++){ | |
lold = l; | |
sinl = Math.sin(l); | |
cosl = Math.cos(l); | |
sinS = Math.sqrt((cosT2 * sinl) * (cosT2 * sinl) + (cosT1 * sinT2 - sinT1 * cosT2 * cosl) * (cosT1 * sinT2 - sinT1 * cosT2 * cosl)); | |
cosS = sinT1 * sinT2 + cosT1 * cosT2 * cosl; | |
S = Math.atan2(sinS, cosS); | |
sinA = cosT1 * cosT2 * sinl / sinS; | |
cos2A = 1 - sinA * sinA; | |
cos2Sm = cosS - 2 * sinT1 * sinT2 / cos2A; | |
C = (f / 16) * cos2A * (4 + f * (4 - 3 * cos2A)); | |
l = L + (1 - C) * f * sinA * (S + C * sinS * (cos2Sm + C * cosS * (-1 + 2 * cos2Sm * cos2Sm))); | |
if(Math.abs(l - lold) < 1e-15){ | |
break; | |
} | |
} | |
const u2 = cos2A * e2 / (1 - e2); | |
const A = 1 + (u2 / 16384) * (4096 + u2 * (-768 + u2 * (320 - 175 * u2))); | |
const B = (u2 / 1024) * (256 + u2 * (-128 + u2 * (74 - 47 * u2))); | |
const dS = B * sinS * (cos2Sm + (B / 4) * (cosS * (-1 + 2 * cos2Sm * cos2Sm) - (B / 6) * cos2Sm * (-3 + 4 * sinS * sinS) * (-3 + 4 * cos2Sm * cos2Sm))); | |
return b * A * (S - dS); | |
} |
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