I am working on a mobile app in C# using the Xamarin framework. I am trying to move a point by a fixed angle on a map like in the first part of the gif below. I believe I am using the right mathematical functions to compute the coordinates of the shifted points since in first part of the GIF, in GeoGebra, everything seems to be fine.
But when it comes to the actual in-app implementation, the results are quite weird : the angle is not consistent and the distance between the center and the points varies by moving the target.
I don't have a clue about what is wrong with the code. In the code below I use polylineOptions
to draw the lines but I've tried with a Polygon
and it displays the same results. Maybe it's because customMap.UserPin.Position
returns the coordinates in Decimal Degree format (i.g. 34.00462, -4.512221
) and the gap between two position is too small for a double
.
Here are the two functions used to draw the lines.
// Add a cone's side to the variable coneLines
private void addConePolyline(double angle, CustomMap customMap, LatLng userPos)
{
// The coordinates of the end of the side to be drawn
LatLng conePoint = movePoint(angle, customMap.UserPin.Position, customMap.TargetPin.Position);
var polylineOptions = new PolylineOptions();
polylineOptions.InvokeWidth(10f);
polylineOptions.InvokeColor(Android.Graphics.Color.Argb(240, 255, 20, 147)); // Pink
polylineOptions.Add(userPos);
polylineOptions.Add(conePoint);
// Add the line to coneLines
coneLines.Add(map.AddPolyline(polylineOptions));
}
// Moves a point by the given angle on a circle of center rotationCenter with respect to p
private LatLng movePoint(double angle, Position rotationCenter, Position initialPoint)
{
// Compute the components of the translation vector between rotationCenter and initialPoint
double dx = initialPoint.Latitude - rotationCenter.Latitude;
double dy = initialPoint.Longitude - rotationCenter.Longitude;
// Compute the moved point's position
double x = rotationCenter.Latitude + Math.Cos(angle) * dx - Math.Sin(angle) * dy;
double y = rotationCenter.Longitude + Math.Sin(angle) * dx + Math.Cos(angle) * dy;
LatLng res = new LatLng(x, y);
return res;
}
I hope someone can help me with this!
Thank you.