Added PowerPoint templates to the Slide Assistant (#1055)

Co-authored-by: Thorsten Sommer <SommerEngineering@users.noreply.github.com>

app/MindWork AI Studio/Tools/PowerPoint/SlotBounds.cs

@@ -0,0 +1,54 @@
+namespace AIStudio.Tools.PowerPoint;
+
+/// <summary>
+/// Where a placeholder sits on the slide, in English Metric Units (EMU).
+/// </summary>
+/// <param name="X">The distance of the left edge from the left edge of the slide.</param>
+/// <param name="Y">The distance of the top edge from the top edge of the slide.</param>
+/// <param name="Width">The width.</param>
+/// <param name="Height">The height.</param>
+internal readonly record struct SlotBounds(long X, long Y, long Width, long Height)
+{
+    public long Right => this.X + this.Width;
+
+    public long Bottom => this.Y + this.Height;
+
+    public long CenterX => this.X + this.Width / 2;
+
+    public long CenterY => this.Y + this.Height / 2;
+
+    public double Area => (double)this.Width * this.Height;
+
+    /// <summary>
+    /// Whether the two areas share a part of their horizontal extent.
+    /// </summary>
+    public bool OverlapsHorizontally(SlotBounds other) => this.X < other.Right && other.X < this.Right;
+
+    /// <summary>
+    /// The area both share; 0 when they do not overlap.
+    /// </summary>
+    public double IntersectionArea(SlotBounds other)
+    {
+        var width = Math.Min(this.Right, other.Right) - Math.Max(this.X, other.X);
+        var height = Math.Min(this.Bottom, other.Bottom) - Math.Max(this.Y, other.Y);
+        return width > 0 && height > 0 ? (double)width * height : 0;
+    }
+
+    /// <summary>
+    /// Whether the other area lies within this one, give or take the given tolerance on each edge.
+    /// </summary>
+    public bool Contains(SlotBounds other, long horizontalTolerance, long verticalTolerance) =>
+        other.X >= this.X - horizontalTolerance &&
+        other.Right <= this.Right + horizontalTolerance &&
+        other.Y >= this.Y - verticalTolerance &&
+        other.Bottom <= this.Bottom + verticalTolerance;
+
+    /// <summary>
+    /// Whether both areas are the same, give or take the given tolerance on each edge.
+    /// </summary>
+    public bool IsCloseTo(SlotBounds other, long horizontalTolerance, long verticalTolerance) =>
+        Math.Abs(this.X - other.X) <= horizontalTolerance &&
+        Math.Abs(this.Width - other.Width) <= horizontalTolerance &&
+        Math.Abs(this.Y - other.Y) <= verticalTolerance &&
+        Math.Abs(this.Height - other.Height) <= verticalTolerance;
+}