234 lines
10 KiB
HTML
234 lines
10 KiB
HTML
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<title>Distances between points on an ellipsoidal-model earth</title>
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<div class="col-12">
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<h1>Distances between points on an ellipsoidal-model earth</h1>
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</div>
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</div>
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</div>
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</div>
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</section>
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<section>
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<div class="container">
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<div class="row" id="app">
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<div class="col-md-1"></div>
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<div class="col-md-5">
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<form class="form-horizontal" role="form">
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<div class="form-inline">
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<label><b>Longitude of Point A</b> </label>
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<input type="number" step="0.01" class="form-control" max="180" min="-180" v-model="lopa" placeholder="Longitude of Point A">
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</div><br>
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<div class="form-inline">
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<label><b>Latitude of Point A</b> </label>
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<input type="number" step="0.01" class="form-control" max="90" min="-90" v-model="lapa" placeholder="Latitude of Point A">
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</div><br>
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<div class="form-inline">
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<label><b>Longitude of Point B</b> </label>
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<input type="number" step="0.01" class="form-control" max="180" min="-180" v-model="lopb" placeholder="Longitude of Point B">
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</div><br>
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<div class="form-inline">
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<label><b>Latitude of Point B</b> </label>
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<input type="number" step="0.01" class="form-control" max="90" min="-90" v-model="lapb" placeholder="Latitude of Point B">
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</div><br>
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</form>
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</div>
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<div class="col-md-6">
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<h5>Calculation results: </h5>
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<h5>Distance: {{distance}} km</h5>
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</div>
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</div>
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<div class="text-center">
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<hr>
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<h5>Algorithm source: <a href="http://www.movable-type.co.uk/scripts/latlong-vincenty.html">Vincenty solutions of geodesics on the ellipsoid</a></h5>
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<h5>Language translation: Bigsk</h5>
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</div>
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</div>
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</section>
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<hr>
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<script>
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let a = 6378137;
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let b = 6356752.314245;
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let f = 1 / 298.257223563;
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function getDistance(lat_one, lon_one, lat_two, lon_two) {
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let L = toRadians(lon_one - lon_two);
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let U1 = Math.atan((1 - f) * Math.tan(toRadians(lat_one)));
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let U2 = Math.atan((1 - f) * Math.tan(toRadians(lat_two)));
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let sinU1 = Math.sin(U1), cosU1 = Math.cos(U1),
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sinU2 = Math.sin(U2), cosU2 = Math.cos(U2);
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let lambda = L, lambdaP = Math.PI;
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let cosSqAlpha = 0, sinSigma = 0, cos2SigmaM = 0, cosSigma = 0, sigma = 0;
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let circleCount = 40;
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while (Math.abs(lambda - lambdaP) > 1e-12 && --circleCount > 0) {
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let sinLambda = Math.sin(lambda), cosLambda = Math.cos(lambda);
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sinSigma = Math.sqrt((cosU2 * sinLambda) * (cosU2 * sinLambda) +
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(cosU1 * sinU2 - sinU1 * cosU2 * cosLambda) * (cosU1 * sinU2 - sinU1 * cosU2 * cosLambda));
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if (sinSigma == 0) {
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return 0;
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}
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cosSigma = sinU1 * sinU2 + cosU1 * cosU2 * cosLambda;
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sigma = Math.atan2(sinSigma, cosSigma);
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let alpha = Math.asin(cosU1 * cosU2 * sinLambda / sinSigma);
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cosSqAlpha = Math.cos(alpha) * Math.cos(alpha);
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cos2SigmaM = cosSigma - 2 * sinU1 * sinU2 / cosSqAlpha;
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let C = f / 16 * cosSqAlpha * (4 + f * (4 - 3 * cosSqAlpha));
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lambdaP = lambda;
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lambda = L + (1 - C) * f * Math.sin(alpha) *
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(sigma + C * sinSigma * (cos2SigmaM + C * cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM)));
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}
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if (circleCount == 0) {
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return NaN;
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}
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let uSq = cosSqAlpha * (a * a - b * b) / (b * b);
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let A = 1 + uSq / 16384 * (4096 + uSq * (-768 + uSq * (320 - 175 * uSq)));
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let B = uSq / 1024 * (256 + uSq * (-128 + uSq * (74 - 47 * uSq)));
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let deltaSigma = B * sinSigma * (cos2SigmaM + B / 4 * (cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM) -
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B / 6 * cos2SigmaM * (-3 + 4 * sinSigma * sinSigma) * (-3 + 4 * cos2SigmaM * cos2SigmaM)));
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let result = b * A * (sigma - deltaSigma) / 1000;
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return result;
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}
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function toRadians(angle) {
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let result = 0;
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if (angle != null) {
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result = angle * Math.PI / 180;
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}
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return result;
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}
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new Vue({
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el: '#app',
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data: {
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lopa: 120,
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lapa: 30,
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lopb: 79,
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lapb: 44
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},
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computed: {
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distance: function() {
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return getDistance(this.lapa, this.lopa, this.lapb, this.lopb);
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}
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}
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})
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let date = new Date();
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</script>
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