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<p>Wartung</p> <p><b>Neue Seite</b></p><div>-- Modul:Great circle distance<br /> -- Getting Great Circle Distance<br /> <br /> local gcd = {}<br /> <br /> local function round( n, idp )<br /> local m = 10^( idp or 0 )<br /> if n &gt;= 0 then<br /> return math.floor( n * m + 0.5 ) / m<br /> else<br /> return math.ceil( n * m - 0.5 ) / m<br /> end<br /> end<br /> <br /> -- Getting latitude-dependent earth radius<br /> -- lat ranges from -90 to 90, decimal degree<br /> function gcd.earthRadius( lat )<br /> local equatorR = 6378.137<br /> local poleR = 6356.752<br /> if not lat then<br /> lat = 35.4<br /> end<br /> lat = lat * math.pi / 180<br /> return math.sqrt( ( ( equatorR * equatorR * math.cos( lat ) )^2 + ( poleR * poleR * math.sin( lat ) )^2 ) /<br /> ( ( equatorR * math.cos( lat ) )^2 + ( poleR * math.sin( lat ) )^2 ) )<br /> end<br /> <br /> -- Getting great circle distance by kilometers or unit of radius<br /> -- Haversine formula<br /> -- See: https://en.wikipedia.org/wiki/Haversine_formula<br /> function gcd.getGcd( lat1, long1, lat2, long2, radius )<br /> if not radius then<br /> radius = ( gcd.earthRadius( lat1 ) + gcd.earthRadius( lat2 ) ) / 2<br /> end<br /> local factor = math.pi / 180<br /> lat1 = lat1 * factor<br /> long1 = long1 * factor<br /> lat2 = lat2 * factor<br /> long2 = long2 * factor<br /> return 2 * radius * math.asin ( math.sqrt (<br /> math.pow( math.sin( ( lat2 - lat1 ) / 2 ), 2 )<br /> + math.cos( lat1 ) * math.cos( lat2 ) * math.pow( math.sin( ( long2 - long1 ) / 2 ), 2 )<br /> ) )<br /> end<br /> <br /> -- Template call<br /> function gcd.gcd( frame )<br /> local args = frame:getParent().args<br /> args.lat1 = tonumber( args.lat1 or args[ 1 ] or &#039;0&#039; ) or 0<br /> args.long1 = tonumber( args.long1 or args[ 2 ] or &#039;0&#039; ) or 0<br /> args.lat2 = tonumber( args.lat2 or args[ 3 ] or &#039;0&#039; ) or 0<br /> args.long2 = tonumber( args.long2 or args[ 4 ] or &#039;0&#039; ) or 0<br /> args.precision = tonumber( args.precision or args[ 5 ] or &#039;0&#039; ) or 0<br /> args.precision = round( args.precision, 0 )<br /> <br /> return round( gcd.getGcd( args.lat1, args.long1, args.lat2, args.long2, args.radius ),<br /> args.precision )<br /> end<br /> <br /> return gcd</div>

wikivoyage>RolandUnger