// XAML Map Control - https://github.com/ClemensFischer/XAML-Map-Control // Copyright © 2024 Clemens Fischer // Licensed under the Microsoft Public License (Ms-PL) using System; namespace MapControl { /// /// Defines the transformation between projected map coordinates in meters /// and view coordinates in pixels. /// public class ViewTransform { public static double ZoomLevelToScale(double zoomLevel) { return 256d * Math.Pow(2d, zoomLevel) / (360d * MapProjection.Wgs84MeterPerDegree); } public static double ScaleToZoomLevel(double scale) { return Math.Log(scale * 360d * MapProjection.Wgs84MeterPerDegree / 256d, 2d); } /// /// Gets the scaling factor from projected map coordinates to view coordinates, /// as pixels per meter. /// public double Scale { get; private set; } /// /// Gets the rotation angle of the transform matrix. /// public double Rotation { get; private set; } /// /// Gets the transform matrix from projected map coordinates to view coordinates. /// public Matrix MapToViewMatrix { get; private set; } /// /// Gets the transform matrix from view coordinates to projected map coordinates. /// public Matrix ViewToMapMatrix { get; private set; } /// /// Initializes a ViewTransform from a map center point in projected coordinates, /// a view conter point, a scaling factor from projected coordinates to view coordinates /// and a rotation angle in degrees. /// public void SetTransform(Point mapCenter, Point viewCenter, double scale, double rotation) { Scale = scale; Rotation = ((rotation % 360d) + 360d) % 360d; MapToViewMatrix = Matrix.CreateTranslation(-mapCenter.X, -mapCenter.Y) * Matrix.CreateScale(scale, -scale) * Matrix.CreateRotation(Matrix.ToRadians(Rotation)) * Matrix.CreateTranslation(viewCenter.X, viewCenter.Y); ViewToMapMatrix = MapToViewMatrix.Invert(); } /// /// Transforms a Point from projected map coordinates to view coordinates. /// public Point MapToView(Point point) { return MapToViewMatrix.Transform(point); } /// /// Transforms a Point from view coordinates to projected map coordinates. /// public Point ViewToMap(Point point) { return ViewToMapMatrix.Transform(point); } /// /// Transform relative to absolute map scale. Returns horizontal and vertical /// scaling factors from meters to view coordinates. /// public Point GetMapScale(Point relativeScale) { return new Point(Scale * relativeScale.X, Scale * relativeScale.Y); } /// /// Gets a transform Matrix from meters to view coordinates for a relative map scale. /// public Matrix GetMapTransform(Point relativeScale) { var scale = GetMapScale(relativeScale); return Matrix.CreateScale(scale.X, scale.Y) * Matrix.CreateRotation(Matrix.ToRadians(Rotation)); } /// /// Gets the transform Matrix for the RenderTranform of a MapTileLayer. /// public Matrix GetTileLayerTransform(double tileMatrixScale, Point tileMatrixTopLeft, Point tileMatrixOrigin) { // Tile matrix origin in map coordinates. // var mapOrigin = new Point( tileMatrixTopLeft.X + tileMatrixOrigin.X / tileMatrixScale, tileMatrixTopLeft.Y - tileMatrixOrigin.Y / tileMatrixScale); // Tile matrix origin in view coordinates. // var viewOrigin = MapToView(mapOrigin); var transformScale = Scale / tileMatrixScale; return Matrix.CreateScale(transformScale, transformScale) * Matrix.CreateRotation(Matrix.ToRadians(Rotation)) * Matrix.CreateTranslation(viewOrigin.X, viewOrigin.Y); } /// /// Gets the index bounds of a tile matrix. /// public Rect GetTileMatrixBounds(double tileMatrixScale, Point tileMatrixTopLeft, double viewWidth, double viewHeight) { // View origin in map coordinates. // var origin = ViewToMap(new Point()); var transformScale = tileMatrixScale / Scale; var transform = Matrix.CreateScale(transformScale, transformScale) * Matrix.CreateRotation(Matrix.ToRadians(-Rotation)); // Translate origin to tile matrix origin in pixels. // transform *= Matrix.CreateTranslation( tileMatrixScale * (origin.X - tileMatrixTopLeft.X), tileMatrixScale * (tileMatrixTopLeft.Y - origin.Y)); // Transform view bounds to tile pixel bounds. // return new Rect(0d, 0d, viewWidth, viewHeight).TransformToAABB(transform); } internal static Matrix CreateTransformMatrix( double translation1X, double translation1Y, double rotation, double translation2X, double translation2Y) { return Matrix.CreateTranslation(translation1X, translation1Y) * Matrix.CreateRotation(Matrix.ToRadians(rotation)) * Matrix.CreateTranslation(translation2X, translation2Y); } } }