ClemensFischer/XAML-Map-Control
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Removed LocationEx

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ClemensF 2021-02-13 18:50:30 +01:00
parent 41eed76055
commit 746a21854a
3 changed files with 92 additions and 93 deletions
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76
MapControl/Shared/LocationCollection.cs
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@ -58,9 +58,12 @@ namespace MapControl
}
/// <summary>
/// see https://en.wikipedia.org/wiki/Great-circle_navigation
/// Calculates a series of Locations on a great circle, or orthodrome, that connects the two specified Locations,
/// with an optional angular resolution specified in degrees.
///
/// See https://en.wikipedia.org/wiki/Great-circle_navigation
/// </summary>
public static LocationCollection CalculateGreatCircleLocations(Location location1, Location location2, double resolution = 1d)
public static LocationCollection OrthodromeLocations(Location location1, Location location2, double resolution = 1d)
{
if (resolution <= 0d)
{
@ -72,6 +75,7 @@ namespace MapControl
var lon1 = location1.Longitude * Math.PI / 180d;
var lat2 = location2.Latitude * Math.PI / 180d;
var lon2 = location2.Longitude * Math.PI / 180d;
var cosLat1 = Math.Cos(lat1);
var sinLat1 = Math.Sin(lat1);
var cosLat2 = Math.Cos(lat2);
@ -83,14 +87,12 @@ namespace MapControl
var b = cosLat2 * sinLon12;
var s12 = Math.Atan2(Math.Sqrt(a * a + b * b), sinLat1 * sinLat2 + cosLat1 * cosLat2 * cosLon12);
var n = (int)Math.Ceiling(s12 / resolution * 180d / Math.PI); // s12 in radians
var locations = new LocationCollection(new Location(location1.Latitude, location1.Longitude));
resolution *= Math.PI / 180d;
if (s12 > resolution) // s12 and resolution in radians
if (n > 1)
{
var n = (int)Math.Round(s12 / resolution);
var az1 = Math.Atan2(sinLon12, cosLat1 * sinLat2 / cosLat2 - sinLat1 * cosLon12);
var cosAz1 = Math.Cos(az1);
var sinAz1 = Math.Sin(az1);
@ -120,9 +122,12 @@ namespace MapControl
}
/// <summary>
/// see https://en.wikipedia.org/wiki/Rhumb_line
/// Calculates a series of Locations on a rhumb line, or loxodrome, that connects the two specified Locations,
/// with an optional angular resolution specified in degrees.
///
/// See https://en.wikipedia.org/wiki/Rhumb_line
/// </summary>
public static LocationCollection CalculateRhumbLineLocations(Location location1, Location location2, double resolution = 1d)
public static LocationCollection LoxodromeLocations(Location location1, Location location2, double resolution = 1d)
{
if (resolution <= 0d)
{
@ -131,7 +136,10 @@ namespace MapControl
}
var lat1 = location1.Latitude;
var lon1 = location1.Longitude;
var lat2 = location2.Latitude;
var lon2 = location2.Longitude;
var y1 = WebMercatorProjection.LatitudeToY(lat1);
var y2 = WebMercatorProjection.LatitudeToY(lat2);
@ -147,50 +155,50 @@ namespace MapControl
nameof(location2), "The location2 argument must have an absolute latitude value of less than 90.");
}
var lon1 = location1.Longitude;
var lon2 = location2.Longitude;
var dlat = lat2 - lat1;
var dlon = lon2 - lon1;
var dy = y2 - y1;
double s12;
// beta = atan(dlon,dy)
// sec(beta) = 1 / cos(atan(dlon,dy)) = sqrt(1 + (dlon/dy)^2)
var sec = Math.Sqrt(1d + dlon * dlon / (dy * dy));
if (sec > 1000d) // beta near +/-90°
{
var lat = (lat1 + lat2) * Math.PI / 360d;
const double secLimit = 1000d; // beta approximately +/-90°
s12 = Math.Abs(dlon * Math.Cos(lat));
double s12;
if (sec > secLimit)
{
var lat = (lat1 + lat2) * Math.PI / 360d; // mean latitude
s12 = Math.Abs(dlon * Math.Cos(lat)); // distance in degrees along parallel of latitude
}
else
{
s12 = Math.Abs(dlat * sec);
s12 = Math.Abs(dlat * sec); // distance in degrees along loxodrome
}
var n = (int)Math.Ceiling(s12 / resolution);
var locations = new LocationCollection(new Location(lat1, lon1));
if (s12 > resolution) // s12 and resolution in degress
if (sec > secLimit)
{
var n = (int)Math.Round(s12 / resolution);
if (sec > 1000d)
for (var i = 1; i < n; i++)
{
for (var i = 1; i < n; i++)
{
var lon = lon1 + i * dlon / n;
var lat = WebMercatorProjection.YToLatitude(y1 + i * dy / n);
locations.Add(lat, lon);
}
var lon = lon1 + i * dlon / n;
var lat = WebMercatorProjection.YToLatitude(y1 + i * dy / n);
locations.Add(lat, lon);
}
else
}
else
{
for (var i = 1; i < n; i++)
{
for (var i = 1; i < n; i++)
{
var lat = lat1 + i * dlat / n;
var lon = lon1 + dlon * (WebMercatorProjection.LatitudeToY(lat) - y1) / dy;
locations.Add(lat, lon);
}
var lat = lat1 + i * dlat / n;
var lon = lon1 + dlon * (WebMercatorProjection.LatitudeToY(lat) - y1) / dy;
locations.Add(lat, lon);
}
}