Some work on Paths.

Make paths with Stretch != None correctly fill the Path control's
available size. Added a Path_Tick_Scaled test with a path from
MahApps.Metro to test this.

Cairo/Perspex.Cairo/Media/StreamGeometryContextImpl.cs

@@ -20,6 +20,11 @@ namespace Perspex.Cairo.Media
             // TODO: Implement
         }
 
+        public void BezierTo(Point point1, Point point2, Point point3)
+        {
+            // TODO: Implement
+        }
+
         public void LineTo(Point point)
         {
             // TODO: Implement

Cairo/Perspex.Cairo/Media/StreamGeometryImpl.cs

@@ -23,6 +23,19 @@ namespace Perspex.Cairo.Media
             get { return new Rect(); }
         }
 
+        // TODO: Implement
+        public Matrix Transform
+        {
+            get { return Matrix.Identity; }
+            set { }
+        }
+
+        public IStreamGeometryImpl Clone()
+        {
+            // TODO: Implement
+            return new StreamGeometryImpl();
+        }
+
         public Rect GetRenderBounds(double strokeThickness)
         {
             // TODO: Implement

Perspex.Controls/Shapes/Shape.cs

@@ -24,6 +24,8 @@ namespace Perspex.Controls.Shapes
         public static readonly PerspexProperty<double> StrokeThicknessProperty =
             PerspexProperty.Register<Shape, double>("StrokeThickness");
 
+        private Matrix transform = Matrix.Identity;
+
         public abstract Geometry DefiningGeometry
         {
             get;
@@ -37,7 +39,18 @@ namespace Perspex.Controls.Shapes
 
         public Geometry RenderedGeometry
         {
-            get { return this.DefiningGeometry; }
+            get
+            {
+                var result = this.DefiningGeometry;
+
+                if (result != null)
+                {
+                    result = result.Clone();
+                    result.Transform = new MatrixTransform(this.transform);
+                }
+
+                return result;
+            }
         }
 
         public Stretch Stretch
@@ -60,15 +73,19 @@ namespace Perspex.Controls.Shapes
 
         public override void Render(IDrawingContext context)
         {
-            if (this.RenderedGeometry != null)
+            var geometry = this.RenderedGeometry;
+
+            if (geometry != null)
             {
-                context.DrawGeometry(this.Fill, new Pen(this.Stroke, this.StrokeThickness), this.RenderedGeometry);
+                context.DrawGeometry(this.Fill, new Pen(this.Stroke, this.StrokeThickness), geometry);
             }
         }
 
         protected override Size MeasureOverride(Size availableSize)
         {
-            Rect shapeBounds = this.RenderedGeometry.GetRenderBounds(this.StrokeThickness);
+            Rect shapeBounds = this.DefiningGeometry.GetRenderBounds(this.StrokeThickness);
+            Size shapeSize = new Size(shapeBounds.Right, shapeBounds.Bottom);
+            Matrix translate = Matrix.Identity;
             double width = this.Width;
             double height = this.Height;
             double desiredX = availableSize.Width;
@@ -76,24 +93,30 @@ namespace Perspex.Controls.Shapes
             double sx = 0.0;
             double sy = 0.0;
 
+            if (this.Stretch != Stretch.None)
+            {
+                shapeSize = shapeBounds.Size;
+                translate = Matrix.Translation(-(Vector)shapeBounds.Position);
+            }
+
             if (double.IsInfinity(availableSize.Width))
             {
-                desiredX = shapeBounds.Right;
+                desiredX = shapeSize.Width;
             }
 
             if (double.IsInfinity(availableSize.Height))
             {
-                desiredY = shapeBounds.Bottom;
+                desiredY = shapeSize.Height;
             }
 
             if (shapeBounds.Width > 0)
             {
-                sx = desiredX / shapeBounds.Right;
+                sx = desiredX / shapeBounds.Width;
             }
 
             if (shapeBounds.Height > 0)
             {
-                sy = desiredY / shapeBounds.Bottom;
+                sy = desiredY / shapeBounds.Height;
             }
 
             if (double.IsInfinity(availableSize.Width))
@@ -131,8 +154,10 @@ namespace Perspex.Controls.Shapes
                     break;
             }
 
-            double finalX = (width > 0) ? width : shapeBounds.Right * sx;
-            double finalY = (height > 0) ? height : shapeBounds.Bottom * sy;
+            this.transform = translate * Matrix.Scaling(sx, sy);
+
+            double finalX = (width > 0) ? width : shapeSize.Width * sx;
+            double finalY = (height > 0) ? height : shapeSize.Width * sy;
             return new Size(finalX, finalY);
         }
     }

Perspex.SceneGraph/Matrix.cs

@@ -106,6 +106,16 @@ namespace Perspex
             return new Matrix(cos, sin, -sin, cos, 0, 0);
         }
 
+        public static Matrix Scaling(double x, double y)
+        {
+            return Scaling(new Vector(x, y));
+        }
+
+        public static Matrix Scaling(Vector scale)
+        {
+            return new Matrix(scale.X, 0, 0, scale.Y, 0, 0);
+        }
+
         public static Matrix Translation(Vector v)
         {
             return Translation(v.X, v.Y);

Perspex.SceneGraph/Media/Geometry.cs

@@ -6,10 +6,22 @@
 
 namespace Perspex.Media
 {
+    using System;
     using Perspex.Platform;
 
-    public abstract class Geometry
+    public abstract class Geometry : PerspexObject
     {
+        public static readonly PerspexProperty<ITransform> TransformProperty =
+            PerspexProperty.Register<Geometry, ITransform>("Transform");
+
+        static Geometry()
+        {
+            TransformProperty.Changed.Subscribe(x =>
+            {
+                ((Geometry)x.Sender).PlatformImpl.Transform = ((ITransform)x.NewValue).Value;
+            });
+        }
+
         public abstract Rect Bounds
         {
             get;
@@ -21,6 +33,14 @@ namespace Perspex.Media
             protected set;
         }
 
+        public ITransform Transform
+        {
+            get { return this.GetValue(TransformProperty); }
+            set { this.SetValue(TransformProperty, value); }
+        }
+
+        public abstract Geometry Clone();
+
         public Rect GetRenderBounds(double strokeThickness)
         {
             return this.PlatformImpl.GetRenderBounds(strokeThickness);

Perspex.SceneGraph/Media/MatrixTransform.cs

@@ -0,0 +1,34 @@
+// -----------------------------------------------------------------------
+// <copyright file="RotateTransform.cs" company="Steven Kirk">
+// Copyright 2013 MIT Licence. See licence.md for more information.
+// </copyright>
+// -----------------------------------------------------------------------
+
+namespace Perspex.Media
+{
+    public class MatrixTransform : Transform
+    {
+        public static readonly PerspexProperty<Matrix> MatrixProperty =
+            PerspexProperty.Register<MatrixTransform, Matrix>("Matrix", Matrix.Identity);
+
+        public MatrixTransform()
+        {
+        }
+
+        public MatrixTransform(Matrix matrix)
+        {
+            this.Matrix = matrix;
+        }
+
+        public Matrix Matrix
+        {
+            get { return this.GetValue(MatrixProperty); }
+            set { this.SetValue(MatrixProperty, value); }
+        }
+
+        public override Matrix Value
+        {
+            get { return this.Matrix; }
+        }
+    }
+}

Perspex.SceneGraph/Media/PathMarkupParser.cs

@@ -85,7 +85,15 @@ namespace Perspex.Media
                                 this.context.EndFigure(false);
                             }
 
-                            point = ReadPoint(reader);
+                            if (command == Command.Move)
+                            {
+                                point = ReadPoint(reader);
+                            }
+                            else
+                            {
+                                point = ReadRelativePoint(reader, point);
+                            }
+
                             this.context.BeginFigure(point, true);
                             openFigure = true;
                             break;
@@ -100,34 +108,34 @@ namespace Perspex.Media
                             this.context.LineTo(point);
                             break;
 
-                        ////case Command.HorizontalLine:
-                        ////    point.X = ReadDouble(reader);
-                        ////    this.context.LineTo(point, true, false);
-                        ////    break;
-
-                        ////case Command.HorizontalLineRelative:
-                        ////    point.X += ReadDouble(reader);
-                        ////    this.context.LineTo(point, true, false);
-                        ////    break;
-
-                        ////case Command.VerticalLine:
-                        ////    point.Y = ReadDouble(reader);
-                        ////    this.context.LineTo(point, true, false);
-                        ////    break;
-
-                        ////case Command.VerticalLineRelative:
-                        ////    point.Y += ReadDouble(reader);
-                        ////    this.context.LineTo(point, true, false);
-                        ////    break;
-
-                        ////case Command.CubicBezierCurve:
-                        ////{
-                        ////    Point point1 = ReadPoint(reader);
-                        ////    Point point2 = ReadPoint(reader);
-                        ////    point = ReadPoint(reader);
-                        ////    this.context.BezierTo(point1, point2, point, true, false);
-                        ////    break;
-                        ////}
+                        case Command.HorizontalLine:
+                            point = point.WithX(ReadDouble(reader));
+                            this.context.LineTo(point);
+                            break;
+
+                        case Command.HorizontalLineRelative:
+                            point = new Point(point.X + ReadDouble(reader), point.Y);
+                            this.context.LineTo(point);
+                            break;
+
+                        case Command.VerticalLine:
+                            point = point.WithY(ReadDouble(reader));
+                            this.context.LineTo(point);
+                            break;
+
+                        case Command.VerticalLineRelative:
+                            point = new Point(point.X, point.Y + ReadDouble(reader));
+                            this.context.LineTo(point);
+                            break;
+
+                        case Command.CubicBezierCurve:
+                            {
+                                Point point1 = ReadPoint(reader);
+                                Point point2 = ReadPoint(reader);
+                                point = ReadPoint(reader);
+                                this.context.BezierTo(point1, point2, point);
+                                break;
+                            }
 
                         case Command.Close:
                             this.context.EndFigure(true);

Perspex.SceneGraph/Media/RectangleGeometry.cs

@@ -6,6 +6,7 @@
 
 namespace Perspex.Media
 {
+    using System;
     using Perspex.Platform;
     using Splat;
 
@@ -32,5 +33,10 @@ namespace Perspex.Media
         {
             get { return this.PlatformImpl.Bounds; }
         }
+
+        public override Geometry Clone()
+        {
+            return new RectangleGeometry(this.Bounds);
+        }
     }
 }

Perspex.SceneGraph/Media/StreamGeometry.cs

@@ -6,6 +6,7 @@
 
 namespace Perspex.Media
 {
+    using System;
     using Perspex.Platform;
     using Splat;
 
@@ -34,9 +35,19 @@ namespace Perspex.Media
             }
         }
 
+        public override Geometry Clone()
+        {
+            return new StreamGeometry(((IStreamGeometryImpl)this.PlatformImpl).Clone());
+        }
+
         public StreamGeometryContext Open()
         {
             return new StreamGeometryContext(((IStreamGeometryImpl)this.PlatformImpl).Open());
         }
+
+        private StreamGeometry(IGeometryImpl impl)
+        {
+            this.PlatformImpl = impl;
+        }
     }
 }

Perspex.SceneGraph/Media/StreamGeometryContext.cs

@@ -23,6 +23,11 @@ namespace Perspex.Media
             this.impl.BeginFigure(startPoint, isFilled);
         }
 
+        public void BezierTo(Point point1, Point point2, Point point3)
+        {
+            this.impl.BezierTo(point1, point2, point3);
+        }
+
         public void LineTo(Point point)
         {
             this.impl.LineTo(point);

Perspex.SceneGraph/Perspex.SceneGraph.csproj

@@ -59,6 +59,7 @@
     <Compile Include="Media\PathMarkupParser.cs" />
     <Compile Include="Media\Pen.cs" />
     <Compile Include="Media\RectangleGeometry.cs" />
+    <Compile Include="Media\MatrixTransform.cs" />
     <Compile Include="Media\RotateTransform.cs" />
     <Compile Include="Media\SolidColorBrush.cs" />
     <Compile Include="Media\StreamGeometry.cs" />

Perspex.SceneGraph/Platform/IGeometryImpl.cs

@@ -10,6 +10,8 @@ namespace Perspex.Platform
     {
         Rect Bounds { get; }
 
+        Matrix Transform { get; set; }
+
         Rect GetRenderBounds(double strokeThickness);
     }
 }

Perspex.SceneGraph/Platform/IStreamGeometryContextImpl.cs

@@ -12,6 +12,8 @@ namespace Perspex.Platform
     {
         void BeginFigure(Point startPoint, bool isFilled);
 
+        void BezierTo(Point point1, Point point2, Point point3);
+
         void LineTo(Point point);
 
         void EndFigure(bool isClosed);

Perspex.SceneGraph/Platform/IStreamGeometryImpl.cs

@@ -8,6 +8,8 @@ namespace Perspex.Platform
 {
     public interface IStreamGeometryImpl : IGeometryImpl
     {
+        IStreamGeometryImpl Clone();
+
         IStreamGeometryContextImpl Open();
     }
 }

Perspex.SceneGraph/Point.cs

@@ -124,5 +124,15 @@ namespace Perspex
         {
             return string.Format(CultureInfo.InvariantCulture, "{0}, {1}", this.x, this.y);
         }
+
+        public Point WithX(double x)
+        {
+            return new Point(x, this.y);
+        }
+
+        public Point WithY(double y)
+        {
+            return new Point(this.x, y);
+        }
     }
 }

Windows/Perspex.Direct2D1.RenderTests/Shapes/PathTests.cs

@@ -41,5 +41,29 @@ namespace Perspex.Direct2D1.RenderTests.Shapes
             this.RenderToFile(target);
             this.CompareImages();
         }
+
+
+        [TestMethod]
+        public void Path_Tick_Scaled()
+        {
+            Decorator target = new Decorator
+            {
+                Width = 200,
+                Height = 200,
+                Content = new Path
+                {
+                    Fill = Brushes.Gray,
+                    Stroke = Brushes.Red,
+                    StrokeThickness = 2,
+                    Stretch = Stretch.Uniform,
+                    HorizontalAlignment = HorizontalAlignment.Center,
+                    VerticalAlignment = VerticalAlignment.Center,
+                    Data = StreamGeometry.Parse("M 1145.607177734375,430 C1145.607177734375,430 1141.449951171875,435.0772705078125 1141.449951171875,435.0772705078125 1141.449951171875,435.0772705078125 1139.232177734375,433.0999755859375 1139.232177734375,433.0999755859375 1139.232177734375,433.0999755859375 1138,434.5538330078125 1138,434.5538330078125 1138,434.5538330078125 1141.482177734375,438 1141.482177734375,438 1141.482177734375,438 1141.96875,437.9375 1141.96875,437.9375 1141.96875,437.9375 1147,431.34619140625 1147,431.34619140625 1147,431.34619140625 1145.607177734375,430 1145.607177734375,430 z"),
+                }
+            };
+
+            this.RenderToFile(target);
+            this.CompareImages();
+        }
     }
 }

Windows/Perspex.Direct2D1/Media/GeometryImpl.cs

@@ -6,21 +6,57 @@
 
 namespace Perspex.Direct2D1.Media
 {
-    using System;
-    using Perspex.Media;
     using Perspex.Platform;
+    using SharpDX.Direct2D1;
+    using Splat;
 
     public abstract class GeometryImpl : IGeometryImpl
     {
+        private TransformedGeometry transformed;
+
         public abstract Rect Bounds
         {
             get;
         }
 
-        public SharpDX.Direct2D1.Geometry Geometry
+        public abstract Geometry DefiningGeometry
         {
             get;
-            protected set;
+        }
+
+        public Geometry Geometry
+        {
+            get { return this.transformed ?? this.DefiningGeometry; }
+        }
+
+        public Matrix Transform
+        {
+            get
+            {
+                return this.transformed != null ?
+                    this.transformed.Transform.ToPerspex() :
+                    Matrix.Identity;
+            }
+
+            set
+            {
+                if (value != this.Transform)
+                {
+                    if (this.transformed != null)
+                    {
+                        this.transformed.Dispose();
+                    }
+
+                    if (!value.IsIdentity)
+                    {
+                        Factory factory = Locator.Current.GetService<Factory>();
+                        this.transformed = new TransformedGeometry(
+                            factory, 
+                            this.DefiningGeometry, 
+                            value.ToDirect2D());
+                    }
+                }
+            }
         }
 
         public abstract Rect GetRenderBounds(double strokeThickness);

Windows/Perspex.Direct2D1/Media/StreamGeometryContextImpl.cs

@@ -23,6 +23,16 @@ namespace Perspex.Direct2D1.Media
             this.sink.BeginFigure(startPoint.ToSharpDX(), isFilled ? FigureBegin.Filled : FigureBegin.Hollow);
         }
 
+        public void BezierTo(Point point1, Point point2, Point point3)
+        {
+            this.sink.AddBezier(new BezierSegment
+            {
+                Point1 = point1.ToSharpDX(),
+                Point2 = point2.ToSharpDX(),
+                Point3 = point3.ToSharpDX(),
+            });
+        }
+
         public void LineTo(Point point)
         {
             this.sink.AddLine(point.ToSharpDX());

Windows/Perspex.Direct2D1/Media/StreamGeometryImpl.cs

@@ -9,33 +9,54 @@ namespace Perspex.Direct2D1.Media
     using System;
     using Perspex.Media;
     using Perspex.Platform;
+    using SharpDX;
     using SharpDX.Direct2D1;
     using Splat;
+    using D2DGeometry = SharpDX.Direct2D1.Geometry;
 
     public class StreamGeometryImpl : GeometryImpl, IStreamGeometryImpl
     {
-        private PathGeometry geometry;
+        private PathGeometry path;
 
         public StreamGeometryImpl()
         {
             Factory factory = Locator.Current.GetService<Factory>();
-            this.geometry = new PathGeometry(factory);
-            this.Geometry = this.geometry;
+            this.path = new PathGeometry(factory);
         }
 
         public override Rect Bounds
         {
-            get { return this.geometry.GetBounds().ToPerspex(); }
+            get { return this.path.GetBounds().ToPerspex(); }
+        }
+
+        public override D2DGeometry DefiningGeometry
+        {
+            get { return this.path; }
+        }
+
+        public IStreamGeometryImpl Clone()
+        {
+            Factory factory = Locator.Current.GetService<Factory>();
+            var result = new PathGeometry(factory);
+            var sink = result.Open();
+            this.path.Stream(sink);
+            sink.Close();
+            return new StreamGeometryImpl(result);
         }
 
         public override Rect GetRenderBounds(double strokeThickness)
         {
-            return this.geometry.GetWidenedBounds((float)strokeThickness).ToPerspex();
+            return this.path.GetWidenedBounds((float)strokeThickness).ToPerspex();
         }
 
         public IStreamGeometryContextImpl Open()
         {
-            return new StreamGeometryContextImpl(this.geometry.Open());
+            return new StreamGeometryContextImpl(this.path.Open());
+        }
+
+        protected StreamGeometryImpl(PathGeometry geometry)
+        {
+            this.path = geometry;
         }
     }
 }