Workaround for rounding errors in MapTransform.

MapControl/Map.WPF.cs

@@ -79,7 +79,7 @@ namespace MapControl
             if (mousePosition.HasValue)
             {
                 var position = e.GetPosition(this);
-                TranslateMap((Point)(position - mousePosition.Value));
+                TranslateMap(position - mousePosition.Value);
                 mousePosition = position;
             }
         }
@@ -96,7 +96,7 @@ namespace MapControl
             base.OnManipulationDelta(e);
 
             TransformMap(e.ManipulationOrigin,
-                (Point)e.DeltaManipulation.Translation, e.DeltaManipulation.Rotation,
+                e.DeltaManipulation.Translation, e.DeltaManipulation.Rotation,
                 (e.DeltaManipulation.Scale.X + e.DeltaManipulation.Scale.Y) / 2d);
         }
     }

MapControl/MapBase.Silverlight.WinRT.cs

@@ -70,11 +70,12 @@ namespace MapControl
             MapOrigin = mapTransform.Transform(origin);
             ViewportScale = Math.Pow(2d, ZoomLevel) * (double)TileSource.TileSize / 360d;
 
-            viewportTransform.Matrix =
+            var transform = new Matrix(1d, 0d, 0d, 1d, -MapOrigin.X, -MapOrigin.Y)
-                new Matrix(1d, 0d, 0d, 1d, -MapOrigin.X, -MapOrigin.Y)
+                .Rotate(-Heading)
                 .Scale(ViewportScale, -ViewportScale)
-                .Rotate(Heading)
                 .Translate(ViewportOrigin.X, ViewportOrigin.Y);
+
+            viewportTransform.Matrix = transform;
         }
     }
 }

MapControl/MapBase.WPF.cs

@@ -53,6 +53,24 @@ namespace MapControl
                 typeof(MapBase), new FrameworkPropertyMetadata(Brushes.Transparent));
         }
 
+        /// <summary>
+        /// Changes the Center property according to the specified translation in viewport coordinates.
+        /// </summary>
+        public void TranslateMap(Vector translation)
+        {
+            TranslateMap((Point)translation);
+        }
+
+        /// <summary>
+        /// Changes the Center, Heading and ZoomLevel properties according to the specified
+        /// viewport coordinate translation, rotation and scale delta values. Rotation and scaling
+        /// is performed relative to the specified origin point in viewport coordinates.
+        /// </summary>
+        public void TransformMap(Point origin, Vector translation, double rotation, double scale)
+        {
+            TransformMap(origin, (Point)translation, rotation, scale);
+        }
+
         partial void RemoveAnimation(DependencyProperty property)
         {
             BeginAnimation(property, null);
@@ -72,8 +90,8 @@ namespace MapControl
             ViewportScale = Math.Pow(2d, ZoomLevel) * (double)TileSource.TileSize / 360d;
 
             var transform = new Matrix(1d, 0d, 0d, 1d, -MapOrigin.X, -MapOrigin.Y);
+            transform.Rotate(-Heading);
             transform.Scale(ViewportScale, -ViewportScale);
-            transform.Rotate(Heading);
             transform.Translate(ViewportOrigin.X, ViewportOrigin.Y);
 
             viewportTransform.Matrix = transform;

MapControl/MapBase.cs

@@ -75,9 +75,6 @@ namespace MapControl
         private DoubleAnimation headingAnimation;
         private bool internalPropertyChange;
 
-        internal Point MapOrigin { get; private set; }
-        internal Point ViewportOrigin { get; private set; }
-
         public MapBase()
         {
             Initialize();
@@ -272,6 +269,9 @@ namespace MapControl
             get { return scaleRotateTransform; }
         }
 
+        internal Point MapOrigin { get; private set; }
+        internal Point ViewportOrigin { get; private set; }
+
         /// <summary>
         /// Gets the scaling factor from cartesian map coordinates to viewport coordinates.
         /// </summary>
@@ -337,18 +337,32 @@ namespace MapControl
         }
 
         /// <summary>
-        /// Changes the Center property according to the specified translation in viewport coordinates.
+        /// Changes the Center property according to the specified map translation in viewport coordinates.
         /// </summary>
         public void TranslateMap(Point translation)
         {
             if (transformOrigin != null)
             {
                 ResetTransformOrigin();
+                UpdateTransform();
             }
 
             if (translation.X != 0d || translation.Y != 0d)
             {
-                Center = ViewportPointToLocation(new Point(ViewportOrigin.X - translation.X, ViewportOrigin.Y - translation.Y));
+                if (Heading != 0d)
+                {
+                    var cos = Math.Cos(Heading / 180d * Math.PI);
+                    var sin = Math.Sin(Heading / 180d * Math.PI);
+
+                    translation = new Point(
+                        translation.X * cos + translation.Y * sin,
+                        translation.Y * cos - translation.X * sin);
+                }
+
+                translation.X /= -ViewportScale;
+                translation.Y /= ViewportScale;
+
+                Center = mapTransform.Transform(Center, MapOrigin, translation);
             }
         }
 
@@ -359,9 +373,10 @@ namespace MapControl
         /// </summary>
         public void TransformMap(Point origin, Point translation, double rotation, double scale)
         {
-            SetTransformOrigin(origin);
+            if (rotation != 0d || scale != 1d)
-
+            {
-            ViewportOrigin = new Point(ViewportOrigin.X + translation.X, ViewportOrigin.Y + translation.Y);
+                transformOrigin = ViewportPointToLocation(origin);
+                ViewportOrigin = new Point(origin.X + translation.X, origin.Y + translation.Y);
 
                 if (rotation != 0d)
                 {
@@ -379,6 +394,11 @@ namespace MapControl
 
                 UpdateTransform(true);
             }
+            else
+            {
+                TranslateMap(translation); // more precise
+            }
+        }
 
         /// <summary>
         /// Sets the value of the TargetZoomLevel property while retaining the specified origin point
@@ -567,7 +587,6 @@ namespace MapControl
             if (!internalPropertyChange)
             {
                 AdjustCenterProperty(CenterProperty, ref center);
-                ResetTransformOrigin();
                 UpdateTransform();
 
                 if (centerAnimation == null)
@@ -616,8 +635,6 @@ namespace MapControl
                 InternalSetValue(CenterProperty, TargetCenter);
                 InternalSetValue(CenterPointProperty, mapTransform.Transform(TargetCenter));
                 RemoveAnimation(CenterPointProperty); // remove holding animation in WPF
-
-                ResetTransformOrigin();
                 UpdateTransform();
             }
         }
@@ -628,7 +645,6 @@ namespace MapControl
             {
                 centerPoint.X = Location.NormalizeLongitude(centerPoint.X);
                 InternalSetValue(CenterProperty, mapTransform.Transform(centerPoint));
-                ResetTransformOrigin();
                 UpdateTransform();
             }
         }
@@ -720,7 +736,7 @@ namespace MapControl
                 InternalSetValue(ZoomLevelProperty, TargetZoomLevel);
                 RemoveAnimation(ZoomLevelProperty); // remove holding animation in WPF
 
-                UpdateTransform(true);
+                Dispatcher.BeginInvoke(() => UpdateTransform(true));
             }
         }
 
@@ -793,12 +809,11 @@ namespace MapControl
 
                 InternalSetValue(HeadingProperty, TargetHeading);
                 RemoveAnimation(HeadingProperty); // remove holding animation in WPF
-
                 UpdateTransform();
             }
         }
 
-        private void UpdateTransform(bool resetTransformOrigin = false)
+        private void UpdateTransform(bool resetOrigin = false)
         {
             var center = transformOrigin ?? Center;
 
@@ -812,7 +827,7 @@ namespace MapControl
                 if (center.Latitude < -mapTransform.MaxLatitude || center.Latitude > mapTransform.MaxLatitude)
                 {
                     center.Latitude = Math.Min(Math.Max(center.Latitude, -mapTransform.MaxLatitude), mapTransform.MaxLatitude);
-                    resetTransformOrigin = true;
+                    resetOrigin = true;
                 }
 
                 InternalSetValue(CenterProperty, center);
@@ -823,7 +838,7 @@ namespace MapControl
                     InternalSetValue(CenterPointProperty, mapTransform.Transform(center));
                 }
 
-                if (resetTransformOrigin)
+                if (resetOrigin)
                 {
                     ResetTransformOrigin();
                     SetViewportTransform(center);

MapControl/MapTransform.cs

@@ -3,6 +3,7 @@
 // Licensed under the Microsoft Public License (Ms-PL)
 
 #if NETFX_CORE
+using System;
 using Windows.Foundation;
 #else
 using System.Windows;
@@ -25,21 +26,21 @@ namespace MapControl
         public abstract double MaxLatitude { get; }
 
         /// <summary>
-        /// Gets the scale factor of the map projection at the specified geographic location
+        /// Gets the scale factor of the map projection at the specified
-        /// relative to the scale at latitude zero.
+        /// geographic location relative to the scale at latitude zero.
         /// </summary>
         public abstract double RelativeScale(Location location);
 
-        /// <summary>
-        /// Transforms a cartesian coordinate point to a geographic location.
-        /// </summary>
-        public abstract Location Transform(Point point);
-
         /// <summary>
         /// Transforms a geographic location to a cartesian coordinate point.
         /// </summary>
         public abstract Point Transform(Location location);
 
+        /// <summary>
+        /// Transforms a cartesian coordinate point to a geographic location.
+        /// </summary>
+        public abstract Location Transform(Point point);
+
         /// <summary>
         /// Transforms a geographic location to a cartesian coordinate point
         /// with minumum distance to the specified reference longitude value.
@@ -61,5 +62,22 @@ namespace MapControl
 
             return p;
         }
+
+        /// <summary>
+        /// Transforms a geographic location by the specified translation in viewport coordinates.
+        /// </summary>
+        public Location Transform(Location origin, Point mapOrigin, Point translation)
+        {
+#if NETFX_CORE
+            var latitudeTranslation = translation.Y / RelativeScale(origin);
+
+            if (Math.Abs(latitudeTranslation) < 1e-3) // avoid rounding errors
+            {
+                return new Location(origin.Latitude + latitudeTranslation, origin.Longitude + translation.X);
+            }
+#endif
+            return Transform(new Point(mapOrigin.X + translation.X, mapOrigin.Y + translation.Y));
         }
     }
+
+}

MapControl/MercatorTransform.cs

@@ -17,7 +17,7 @@ namespace MapControl
     /// </summary>
     public class MercatorTransform : MapTransform
     {
-        public static readonly double MaxLatitudeValue = Math.Atan(Math.Sinh(Math.PI)) / Math.PI * 180d;
+        public static readonly double MaxLatitudeValue = YToLatitude(180d);
 
         public static double RelativeScale(double latitude)
         {
@@ -46,13 +46,12 @@ namespace MapControl
                 return double.PositiveInfinity;
             }
 
-            latitude *= Math.PI / 180d;
+            return Math.Log(Math.Tan((latitude + 90d) * Math.PI / 360d)) / Math.PI * 180d;
-            return Math.Log(Math.Tan(latitude) + 1d / Math.Cos(latitude)) / Math.PI * 180d;
         }
 
         public static double YToLatitude(double y)
         {
-            return Math.Atan(Math.Sinh(y * Math.PI / 180d)) / Math.PI * 180d;
+            return Math.Atan(Math.Exp(y * Math.PI / 180d)) / Math.PI * 360d - 90d;
         }
 
         public override double MaxLatitude

MapControl/TileLayer.Silverlight.WinRT.cs

@@ -46,7 +46,7 @@ namespace MapControl
                 new Matrix(1d, 0d, 0d, 1d, TileSource.TileSize * TileGrid.XMin, TileSource.TileSize * TileGrid.YMin)
                 .Scale(scale, scale)
                 .Translate(offsetX, offsetY)
-                .RotateAt(parentMap.Heading, parentMap.ViewportOrigin.X, parentMap.ViewportOrigin.Y); ;
+                .RotateAt(parentMap.Heading, parentMap.ViewportOrigin.X, parentMap.ViewportOrigin.Y);
         }
     }
 }