gui-cs.Terminal.Gui/Terminal.Gui/Drawing/Region.cs

#nullable enable

namespace Terminal.Gui;

/// <summary>
///     Represents a region composed of one or more rectangles, providing methods for geometric set operations such as
///     union,
///     intersection, exclusion, and complement. This class is designed for use in graphical or terminal-based user
///     interfaces
///     where regions need to be manipulated to manage screen areas, clipping, or drawing boundaries.
/// </summary>
/// <remarks>
///     <para>
///         This class is thread-safe. All operations are synchronized to ensure consistent state when accessed concurrently.
///     </para>
///     <para>
///         The <see cref="Region"/> class adopts a philosophy of efficiency and flexibility, balancing performance with
///         usability for GUI applications. It maintains a list of <see cref="Rectangle"/> objects, representing disjoint
///         (non-overlapping) rectangular areas, and supports operations inspired by set theory. These operations allow
///         combining regions in various ways, such as merging areas (<see cref="RegionOp.Union"/> or
///         <see cref="RegionOp.MinimalUnion"/>),
///         finding common areas (<see cref="RegionOp.Intersect"/>), or removing portions (
///         <see cref="RegionOp.Difference"/> or
///         <see cref="Exclude(Rectangle)"/>).
///     </para>
///     <para>
///         To achieve high performance, the class employs a sweep-line algorithm for merging rectangles, which efficiently
///         processes large sets of rectangles in O(n log n) time by scanning along the x-axis and tracking active vertical
///         intervals. This approach ensures scalability for typical GUI scenarios with moderate numbers of rectangles. For
///         operations like <see cref="RegionOp.Union"/> and <see cref="RegionOp.MinimalUnion"/>, an optional minimization
///         step (
///         <see
///             cref="MinimizeRectangles"/>
///         ) is used to reduce the number of rectangles to a minimal set, producing the smallest
///         possible collection of non-overlapping rectangles that cover the same area. This minimization, while O(n²) in
///         worst-case complexity, is optimized for small-to-medium collections and provides a compact representation ideal
///         for drawing or logical operations.
///     </para>
///     <para>
///         The class is immutable in its operations (returning new regions or modifying in-place via methods like
///         <see cref="Combine(Rectangle,RegionOp)"/>), supports nullability for robustness, and implements
///         <see cref="IDisposable"/> to manage
///         resources by clearing internal state. Developers can choose between granular (detailed) or minimal (compact)
///         outputs for union operations via <see cref="RegionOp.Union"/> and <see cref="RegionOp.MinimalUnion"/>, catering
///         to diverse use cases such as rendering optimization, event handling, or visualization.
///     </para>
/// </remarks>
public class Region
{
    private readonly List<Rectangle> _rectangles = [];

    // Add a single reusable list for temp operations
    private readonly List<Rectangle> _tempRectangles = new();

    // Object used for synchronization
    private readonly object _syncLock = new object();

    /// <summary>
    ///     Initializes a new instance of the <see cref="Region"/> class.
    /// </summary>
    public Region () { }

    /// <summary>
    ///     Initializes a new instance of the <see cref="Region"/> class with the specified rectangle.
    /// </summary>
    /// <param name="rectangle">The initial rectangle for the region.</param>
    public Region (Rectangle rectangle)
    {
        lock (_syncLock)
        {
            _rectangles.Add (rectangle);
        }
    }

    /// <summary>
    ///     Creates an exact copy of the region.
    /// </summary>
    /// <returns>A new <see cref="Region"/> that is a copy of this instance.</returns>
    public Region Clone ()
    {
        lock (_syncLock)
        {
            var clone = new Region ();
            clone._rectangles.Capacity = _rectangles.Count; // Pre-allocate capacity
            clone._rectangles.AddRange (_rectangles);

            return clone;
        }
    }

    /// <summary>
    ///     Combines <paramref name="rectangle"/> with the region using the specified operation.
    /// </summary>
    /// <param name="rectangle">The rectangle to combine.</param>
    /// <param name="operation">The operation to perform.</param>
    public void Combine (Rectangle rectangle, RegionOp operation)
    {
        lock (_syncLock)
        {
            if (rectangle.IsEmpty && operation != RegionOp.Replace)
            {
                if (operation == RegionOp.Intersect)
                {
                    _rectangles.Clear ();
                }

                return;
            }

            Combine (new Region (rectangle), operation);
        }
    }

    /// <summary>
    ///     Combines <paramref name="region"/> with the region using the specified operation.
    /// </summary>
    /// <param name="region">The region to combine.</param>
    /// <param name="operation">The operation to perform.</param>
    public void Combine (Region? region, RegionOp operation)
    {
        lock (_syncLock)
        {
            CombineInternal(region, operation);
        }
    }

    // Private method to implement the combine logic within a lock
    private void CombineInternal(Region? region, RegionOp operation)
    {
        if (region is null || region._rectangles.Count == 0)
        {
            if (operation is RegionOp.Intersect or RegionOp.Replace)
            {
                _rectangles.Clear ();
            }

            return;
        }

        switch (operation)
        {
            case RegionOp.Difference:

                // region is regionB
                // We'll chain the difference: (regionA - rect1) - rect2 - rect3 ...
                List<Rectangle> newRectangles = new (_rectangles);

                foreach (Rectangle rect in region._rectangles)
                {
                    List<Rectangle> temp = new ();

                    foreach (Rectangle r in newRectangles)
                    {
                        temp.AddRange (SubtractRectangle (r, rect));
                    }

                    newRectangles = temp;
                }

                _rectangles.Clear ();
                _rectangles.AddRange (newRectangles);

                break;

            case RegionOp.Intersect:
                List<Rectangle> intersections = new (_rectangles.Count); // Pre-allocate

                // Null is same as empty region
                region ??= new ();

                foreach (Rectangle rect1 in _rectangles)
                {
                    foreach (Rectangle rect2 in region!._rectangles)
                    {
                        Rectangle intersected = Rectangle.Intersect (rect1, rect2);

                        if (!intersected.IsEmpty)
                        {
                            intersections.Add (intersected);
                        }
                    }
                }

                _rectangles.Clear ();
                _rectangles.AddRange (intersections);

                break;

            case RegionOp.Union:
                // Avoid collection initialization with spread operator
                _tempRectangles.Clear();
                _tempRectangles.AddRange(_rectangles);
                if (region != null)
                {
                    // Get the region's rectangles safely
                    lock (region._syncLock)
                    {
                        _tempRectangles.AddRange(region._rectangles);
                    }
                }
                List<Rectangle> mergedUnion = MergeRectangles(_tempRectangles, false);
                _rectangles.Clear();
                _rectangles.AddRange(mergedUnion);
                break;

            case RegionOp.MinimalUnion:
                // Avoid collection initialization with spread operator
                _tempRectangles.Clear();
                _tempRectangles.AddRange(_rectangles);
                if (region != null)
                {
                    // Get the region's rectangles safely
                    lock (region._syncLock)
                    {
                        _tempRectangles.AddRange(region._rectangles);
                    }
                }
                List<Rectangle> mergedMinimalUnion = MergeRectangles(_tempRectangles, true);
                _rectangles.Clear();
                _rectangles.AddRange(mergedMinimalUnion);
                break;

            case RegionOp.XOR:
                Exclude (region);
                region.Combine (this, RegionOp.Difference);
                _rectangles.AddRange (region._rectangles);

                break;

            case RegionOp.ReverseDifference:
                region.Combine (this, RegionOp.Difference);
                _rectangles.Clear ();
                _rectangles.AddRange (region._rectangles);

                break;

            case RegionOp.Replace:
                _rectangles.Clear ();
                _rectangles.Capacity = region._rectangles.Count; // Pre-allocate
                _rectangles.AddRange (region._rectangles);

                break;
        }
    }

    /// <summary>
    ///     Updates the region to be the complement of itself within the specified bounds.
    /// </summary>
    /// <param name="bounds">The bounding rectangle to use for complementing the region.</param>
    public void Complement (Rectangle bounds)
    {
        if (bounds.IsEmpty || _rectangles.Count == 0)
        {
            _rectangles.Clear ();

            return;
        }

        List<Rectangle> complementRectangles = new (4) { bounds }; // Typical max initial capacity

        foreach (Rectangle rect in _rectangles)
        {
            complementRectangles = complementRectangles.SelectMany (r => SubtractRectangle (r, rect)).ToList ();
        }

        _rectangles.Clear ();
        _rectangles.AddRange (complementRectangles);
    }

    /// <summary>
    ///     Determines whether the specified point is contained within the region.
    /// </summary>
    /// <param name="x">The x-coordinate of the point.</param>
    /// <param name="y">The y-coordinate of the point.</param>
    /// <returns><c>true</c> if the point is contained within the region; otherwise, <c>false</c>.</returns>
    public bool Contains (int x, int y)
    {
        lock (_syncLock)
        {
            foreach (Rectangle r in _rectangles)
            {
                if (r.Contains (x, y))
                {
                    return true;
                }
            }

            return false;
        }
    }

    /// <summary>
    ///     Determines whether the specified rectangle is contained within the region.
    /// </summary>
    /// <param name="rectangle">The rectangle to check for containment.</param>
    /// <returns><c>true</c> if the rectangle is contained within the region; otherwise, <c>false</c>.</returns>
    public bool Contains (Rectangle rectangle)
    {
        lock (_syncLock)
        {
            foreach (Rectangle r in _rectangles)
            {
                if (r.Contains (rectangle))
                {
                    return true;
                }
            }

            return false;
        }
    }

    /// <summary>
    ///     Determines whether the specified object is equal to this region.
    /// </summary>
    /// <param name="obj">The object to compare with this region.</param>
    /// <returns><c>true</c> if the objects are equal; otherwise, <c>false</c>.</returns>
    public override bool Equals (object? obj) { return obj is Region other && Equals (other); }

    private static bool IsRegionEmpty (List<Rectangle> rectangles)
    {
        if (rectangles.Count == 0)
        {
            return true;
        }

        foreach (Rectangle r in rectangles)
        {
            if (r is { IsEmpty: false, Width: > 0, Height: > 0 })
            {
                return false;
            }
        }

        return true;
    }

    /// <summary>
    ///     Determines whether the specified region is equal to this region.
    /// </summary>
    /// <param name="other">The region to compare with this region.</param>
    /// <returns><c>true</c> if the regions are equal; otherwise, <c>false</c>.</returns>
    public bool Equals (Region? other)
    {
        if (other is null)
        {
            return false;
        }

        if (ReferenceEquals (this, other))
        {
            return true;
        }

        // Check if either region is empty
        bool thisEmpty = IsRegionEmpty (_rectangles);
        bool otherEmpty = IsRegionEmpty (other._rectangles);

        // If either is empty, they're equal only if both are empty
        if (thisEmpty || otherEmpty)
        {
            return thisEmpty == otherEmpty;
        }

        // For non-empty regions, compare rectangle counts
        if (_rectangles.Count != other._rectangles.Count)
        {
            return false;
        }

        // Compare all rectangles - order matters since we maintain canonical form
        for (var i = 0; i < _rectangles.Count; i++)
        {
            if (!_rectangles [i].Equals (other._rectangles [i]))
            {
                return false;
            }
        }

        return true;
    }

    /// <summary>
    ///     Removes the specified rectangle from the region.
    /// </summary>
    /// <remarks>
    ///     <para>
    ///         This is a helper method that is equivalent to calling <see cref="Combine(Rectangle,RegionOp)"/> with
    ///         <see cref="RegionOp.Difference"/>.
    ///     </para>
    /// </remarks>
    /// <param name="rectangle">The rectangle to exclude from the region.</param>
    public void Exclude (Rectangle rectangle) { Combine (rectangle, RegionOp.Difference); }

    /// <summary>
    ///     Removes the portion of the specified region from this region.
    /// </summary>
    /// <remarks>
    ///     <para>
    ///         This is a helper method that is equivalent to calling <see cref="Combine(Region,RegionOp)"/> with
    ///         <see cref="RegionOp.Difference"/>.
    ///     </para>
    /// </remarks>
    /// <param name="region">The region to exclude from this region.</param>
    public void Exclude (Region? region) { Combine (region, RegionOp.Difference); }

    /// <summary>
    ///     Gets a bounding rectangle for the entire region.
    /// </summary>
    /// <returns>A <see cref="Rectangle"/> that bounds the region.</returns>
    public Rectangle GetBounds ()
    {
        if (_rectangles.Count == 0)
        {
            return Rectangle.Empty;
        }

        Rectangle first = _rectangles [0];
        int left = first.Left;
        int top = first.Top;
        int right = first.Right;
        int bottom = first.Bottom;

        for (var i = 1; i < _rectangles.Count; i++)
        {
            Rectangle r = _rectangles [i];
            left = Math.Min (left, r.Left);
            top = Math.Min (top, r.Top);
            right = Math.Max (right, r.Right);
            bottom = Math.Max (bottom, r.Bottom);
        }

        return new (left, top, right - left, bottom - top);
    }

    /// <summary>
    ///     Returns a hash code for this region.
    /// </summary>
    /// <returns>A hash code for this region.</returns>
    public override int GetHashCode ()
    {
        var hash = new HashCode ();

        foreach (Rectangle rect in _rectangles)
        {
            hash.Add (rect);
        }

        return hash.ToHashCode ();
    }

    /// <summary>
    ///     Returns an array of rectangles that represent the region.
    /// </summary>
    /// <returns>An array of <see cref="Rectangle"/> objects that make up the region.</returns>
    public Rectangle [] GetRectangles () { return _rectangles.ToArray (); }

    /// <summary>
    ///     Updates the region to be the intersection of itself with the specified rectangle.
    /// </summary>
    /// <remarks>
    ///     <para>
    ///         This is a helper method that is equivalent to calling <see cref="Combine(Rectangle,RegionOp)"/> with
    ///         <see cref="RegionOp.Intersect"/>.
    ///     </para>
    /// </remarks>
    /// <param name="rectangle">The rectangle to intersect with the region.</param>
    public void Intersect (Rectangle rectangle) { Combine (rectangle, RegionOp.Intersect); }

    /// <summary>
    ///     Updates the region to be the intersection of itself with the specified region.
    /// </summary>
    /// <remarks>
    ///     <para>
    ///         This is a helper method that is equivalent to calling <see cref="Combine(Region,RegionOp)"/> with
    ///         <see cref="RegionOp.Intersect"/>.
    ///     </para>
    /// </remarks>
    /// <param name="region">The region to intersect with this region.</param>
    public void Intersect (Region? region) { Combine (region, RegionOp.Intersect); }

    /// <summary>
    ///     Determines whether the region is empty.
    /// </summary>
    /// <returns><c>true</c> if the region is empty; otherwise, <c>false</c>.</returns>
    public bool IsEmpty ()
    {
        if (_rectangles.Count == 0)
        {
            return true;
        }

        foreach (Rectangle r in _rectangles)
        {
            if (r is { IsEmpty: false, Width: > 0, Height: > 0 })
            {
                return false;
            }
        }

        return true;
    }

    /// <summary>
    ///     Translates all rectangles in the region by the specified offsets.
    /// </summary>
    /// <param name="offsetX">The amount to offset along the x-axis.</param>
    /// <param name="offsetY">The amount to offset along the y-axis.</param>
    public void Translate (int offsetX, int offsetY)
    {
        if (offsetX == 0 && offsetY == 0)
        {
            return;
        }

        for (var i = 0; i < _rectangles.Count; i++)
        {
            Rectangle rect = _rectangles [i];
            _rectangles [i] = rect with { X = rect.Left + offsetX, Y = rect.Top + offsetY };
        }
    }

    /// <summary>
    ///     Adds the specified rectangle to the region. Merges all rectangles into a minimal or granular bounding shape.
    /// </summary>
    /// <param name="rectangle">The rectangle to add to the region.</param>
    public void Union (Rectangle rectangle) { Combine (rectangle, RegionOp.Union); }

    /// <summary>
    ///     Adds the specified region to this region. Merges all rectangles into a minimal or granular bounding shape.
    /// </summary>
    /// <param name="region">The region to add to this region.</param>
    public void Union (Region? region) { Combine (region, RegionOp.Union); }

    /// <summary>
    ///     Adds the specified rectangle to the region. Merges all rectangles into the smallest possible bounding shape.
    /// </summary>
    /// <param name="rectangle">The rectangle to add to the region.</param>
    public void MinimalUnion (Rectangle rectangle) { Combine (rectangle, RegionOp.MinimalUnion); }

    /// <summary>
    ///     Adds the specified region to this region. Merges all rectangles into the smallest possible bounding shape.
    /// </summary>
    /// <param name="region">The region to add to this region.</param>
    public void MinimalUnion (Region? region) { Combine (region, RegionOp.MinimalUnion); }

    /// <summary>
    ///     Merges overlapping rectangles into a minimal or granular set of non-overlapping rectangles with a minimal bounding
    ///     shape.
    /// </summary>
    /// <param name="rectangles">The list of rectangles to merge.</param>
    /// <param name="minimize">
    ///     If <c>true</c>, minimizes the set to the smallest possible number of rectangles; otherwise,
    ///     returns a granular set.
    /// </param>
    /// <returns>A list of merged rectangles.</returns>
    internal static List<Rectangle> MergeRectangles (List<Rectangle> rectangles, bool minimize)
    {
        if (rectangles.Count == 0)
        {
            return [];
        }

        // Sweep-line algorithm to merge rectangles
        List<(int x, bool isStart, int yTop, int yBottom)> events = new (rectangles.Count * 2); // Pre-allocate

        foreach (Rectangle r in rectangles)
        {
            if (!r.IsEmpty)
            {
                events.Add ((r.Left, true, r.Top, r.Bottom)); // Start event
                events.Add ((r.Right, false, r.Top, r.Bottom)); // End event
            }
        }

        if (events.Count == 0)
        {
            return []; // Return empty list if no non-empty rectangles exist
        }

        events.Sort (
                     (a, b) =>
                     {
                         int cmp = a.x.CompareTo (b.x);

                         if (cmp != 0)
                         {
                             return cmp;
                         }

                         return a.isStart.CompareTo (b.isStart); // Start events before end events at same x
                     });

        List<Rectangle> merged = [];

        SortedSet<(int yTop, int yBottom)> active = new (
                                                         Comparer<(int yTop, int yBottom)>.Create (
                                                                                                   (a, b) =>
                                                                                                   {
                                                                                                       int cmp = a.yTop.CompareTo (b.yTop);

                                                                                                       return cmp != 0 ? cmp : a.yBottom.CompareTo (b.yBottom);
                                                                                                   }));
        int lastX = events [0].x;

        foreach ((int x, bool isStart, int yTop, int yBottom) evt in events)
        {
            // Output rectangles for the previous segment if there are active rectangles
            if (active.Count > 0 && evt.x > lastX)
            {
                merged.AddRange (MergeVerticalIntervals (active, lastX, evt.x));
            }

            // Process the event
            if (evt.isStart)
            {
                active.Add ((evt.yTop, evt.yBottom));
            }
            else
            {
                active.Remove ((evt.yTop, evt.yBottom));
            }

            lastX = evt.x;
        }

        return minimize ? MinimizeRectangles (merged) : merged;
    }

    /// <summary>
    ///     Merges overlapping vertical intervals into a minimal set of non-overlapping rectangles.
    /// </summary>
    /// <param name="active">The set of active vertical intervals.</param>
    /// <param name="startX">The starting x-coordinate for the rectangles.</param>
    /// <param name="endX">The ending x-coordinate for the rectangles.</param>
    /// <returns>A list of merged rectangles.</returns>
    internal static List<Rectangle> MergeVerticalIntervals (SortedSet<(int yTop, int yBottom)> active, int startX, int endX)
    {
        if (active.Count == 0)
        {
            return [];
        }

        List<Rectangle> result = new (active.Count); // Pre-allocate
        int? currentTop = null;
        int? currentBottom = null;

        foreach ((int yTop, int yBottom) in active)
        {
            if (currentTop == null)
            {
                currentTop = yTop;
                currentBottom = yBottom;
            }
            else if (yTop <= currentBottom)
            {
                currentBottom = Math.Max (currentBottom.Value, yBottom);
            }
            else
            {
                result.Add (new (startX, currentTop.Value, endX - startX, currentBottom!.Value - currentTop.Value));
                currentTop = yTop;
                currentBottom = yBottom;
            }
        }

        if (currentTop != null)
        {
            result.Add (new (startX, currentTop.Value, endX - startX, currentBottom!.Value - currentTop.Value));
        }

        return result;
    }

    /// <summary>
    ///     Minimizes a list of rectangles into the smallest possible set of non-overlapping rectangles
    ///     by merging adjacent rectangles where possible.
    /// </summary>
    /// <param name="rectangles">The list of rectangles to minimize.</param>
    /// <returns>A list of minimized rectangles.</returns>
    internal static List<Rectangle> MinimizeRectangles (List<Rectangle> rectangles)
    {
        if (rectangles.Count <= 1)
        {
            return rectangles.ToList ();
        }

        List<Rectangle> minimized = new (rectangles.Count); // Pre-allocate
        List<Rectangle> current = new (rectangles); // Work with a copy

        bool changed;

        do
        {
            changed = false;
            minimized.Clear ();

            // Sort by Y then X for consistent processing
            current.Sort (
                          (a, b) =>
                          {
                              int cmp = a.Top.CompareTo (b.Top);

                              return cmp != 0 ? cmp : a.Left.CompareTo (b.Left);
                          });

            var i = 0;

            while (i < current.Count)
            {
                Rectangle r = current [i];
                int j = i + 1;

                while (j < current.Count)
                {
                    Rectangle next = current [j];

                    // Check if rectangles can be merged horizontally (same Y range, adjacent X)
                    if (r.Top == next.Top && r.Bottom == next.Bottom && (r.Right == next.Left || next.Right == r.Left || r.IntersectsWith (next)))
                    {
                        r = new (
                                 Math.Min (r.Left, next.Left),
                                 r.Top,
                                 Math.Max (r.Right, next.Right) - Math.Min (r.Left, next.Left),
                                 r.Height
                                );
                        current.RemoveAt (j);
                        changed = true;
                    }

                    // Check if rectangles can be merged vertically (same X range, adjacent Y)
                    else if (r.Left == next.Left && r.Right == next.Right && (r.Bottom == next.Top || next.Bottom == r.Top || r.IntersectsWith (next)))
                    {
                        r = new (
                                 r.Left,
                                 Math.Min (r.Top, next.Top),
                                 r.Width,
                                 Math.Max (r.Bottom, next.Bottom) - Math.Min (r.Top, next.Top)
                                );
                        current.RemoveAt (j);
                        changed = true;
                    }
                    else
                    {
                        j++;
                    }
                }

                minimized.Add (r);
                i++;
            }

            current = minimized.ToList (); // Prepare for next iteration
        }
        while (changed);

        return minimized;
    }

    /// <summary>
    ///     Subtracts the specified rectangle from the original rectangle, returning the resulting rectangles.
    /// </summary>
    /// <param name="original">The original rectangle.</param>
    /// <param name="subtract">The rectangle to subtract from the original.</param>
    /// <returns>An enumerable collection of resulting rectangles after subtraction.</returns>
    internal static IEnumerable<Rectangle> SubtractRectangle (Rectangle original, Rectangle subtract)
    {
        // Handle empty or invalid rectangles
        if (original.IsEmpty || original.Width <= 0 || original.Height <= 0)
        {
            yield break; // Return empty enumeration for empty or invalid original
        }

        if (subtract.IsEmpty || subtract.Width <= 0 || subtract.Height <= 0)
        {
            yield return original;

            yield break;
        }

        // Check for complete overlap (subtract fully contains or equals original)
        if (subtract.Left <= original.Left && subtract.Top <= original.Top && subtract.Right >= original.Right && subtract.Bottom >= original.Bottom)
        {
            yield break; // Return empty if subtract completely overlaps original
        }

        // Check for no overlap
        if (!original.IntersectsWith (subtract))
        {
            yield return original;

            yield break;
        }

        // Fragment the original rectangle into segments excluding the subtract rectangle

        // Top segment (above subtract)
        if (original.Top < subtract.Top)
        {
            yield return new (
                              original.Left,
                              original.Top,
                              original.Width,
                              subtract.Top - original.Top);
        }

        // Bottom segment (below subtract)
        if (original.Bottom > subtract.Bottom)
        {
            yield return new (
                              original.Left,
                              subtract.Bottom,
                              original.Width,
                              original.Bottom - subtract.Bottom);
        }

        // Left segment (to the left of subtract)
        if (original.Left < subtract.Left)
        {
            int top = Math.Max (original.Top, subtract.Top);
            int bottom = Math.Min (original.Bottom, subtract.Bottom);

            if (bottom > top)
            {
                yield return new (
                                  original.Left,
                                  top,
                                  subtract.Left - original.Left,
                                  bottom - top);
            }
        }

        // Right segment (to the right of subtract)
        if (original.Right > subtract.Right)
        {
            int top = Math.Max (original.Top, subtract.Top);
            int bottom = Math.Min (original.Bottom, subtract.Bottom);

            if (bottom > top)
            {
                yield return new (
                                  subtract.Right,
                                  top,
                                  original.Right - subtract.Right,
                                  bottom - top);
            }
        }
    }

    /// <summary>
    ///     Fills the interior of all rectangles in the region with the specified attribute and fill rune.
    /// </summary>
    /// <param name="attribute">The attribute (color/style) to use.</param>
    /// <param name="fillRune">
    ///     The rune to fill the interior of the rectangles with. If <cref langword="null"/> space will be
    ///     used.
    /// </param>
    public void FillRectangles (Attribute attribute, Rune? fillRune = null)
    {
        if (_rectangles.Count == 0)
        {
            return;
        }

        foreach (Rectangle rect in _rectangles)
        {
            if (rect.IsEmpty || rect.Width <= 0 || rect.Height <= 0)
            {
                continue;
            }

            Application.Driver?.SetAttribute (attribute);

            for (int y = rect.Top; y < rect.Bottom; y++)
            {
                for (int x = rect.Left; x < rect.Right; x++)
                {
                    Application.Driver?.Move (x, y);
                    Application.Driver?.AddRune (fillRune ?? (Rune)' ');
                }
            }
        }
    }


    /// <summary>
    ///     Draws the boundaries of all rectangles in the region using the specified attributes, only if the rectangle is big
    ///     enough.
    /// </summary>
    /// <param name="canvas">The canvas to draw on.</param>
    /// <param name="style">The line style to use for drawing.</param>
    /// <param name="attribute">The attribute (color/style) to use for the lines. If <c>null</c>.</param>
    public void DrawBoundaries (LineCanvas canvas, LineStyle style, Attribute? attribute = null)
    {
        if (_rectangles.Count == 0)
        {
            return;
        }

        foreach (Rectangle rect in _rectangles)
        {
            if (rect.IsEmpty || rect.Width <= 0 || rect.Height <= 0)
            {
                continue;
            }

            // Only draw boundaries if the rectangle is "big enough" (e.g., width and height > 1)
            //if (rect.Width > 2 && rect.Height > 2)
            {
                if (rect.Width > 1)
                {
                    // Add horizontal lines
                    canvas.AddLine (new (rect.Left, rect.Top), rect.Width, Orientation.Horizontal, style, attribute);
                    canvas.AddLine (new (rect.Left, rect.Bottom - 1), rect.Width, Orientation.Horizontal, style, attribute);
                }

                if (rect.Height > 1)
                {
                    // Add vertical lines 
                    canvas.AddLine (new (rect.Left, rect.Top), rect.Height, Orientation.Vertical, style, attribute);
                    canvas.AddLine (new (rect.Right - 1, rect.Top), rect.Height, Orientation.Vertical, style, attribute);
                }
            }
        }
    }


    // BUGBUG: DrawOuterBoundary does not work right. it draws all regions +1 too tall/wide. It should draw single width/height regions as just a line.
    //
    // Example: There are 3 regions here. the first is a rect (0,0,1,4). Second is (10, 0, 2, 4). 
    // This is how they should draw:
    //
    // |123456789|123456789|123456789
    // 1 │        ┌┐        ┌─┐ 
    // 2 │        ││        │ │ 
    // 3 │        ││        │ │ 
    // 4 │        └┘        └─┘
    // 
    // But this is what it draws:
    // |123456789|123456789|123456789
    // 1┌┐        ┌─┐       ┌──┐     
    // 2││        │ │       │  │     
    // 3││        │ │       │  │     
    // 4││        │ │       │  │     
    // 5└┘        └─┘       └──┘         
    //
    // Example: There are two rectangles in this region. (0,0,3,3) and (3, 3, 3, 3).
    // This is fill - correct:
    // |123456789
    // 1░░░      
    // 2░░░      
    // 3░░░░░    
    // 4  ░░░    
    // 5  ░░░    
    // 6         
    //
    // This is what DrawOuterBoundary should draw
    // |123456789|123456789
    // 1┌─┐               
    // 2│ │             
    // 3└─┼─┐             
    // 4  │ │             
    // 5  └─┘             
    // 6
    //
    // This is what DrawOuterBoundary actually draws
    // |123456789|123456789
    // 1┌──┐               
    // 2│  │               
    // 3│  └─┐             
    // 4└─┐  │             
    // 5  │  │             
    // 6  └──┘             

    /// <summary>
    ///     Draws the outer perimeter of the region to <paramref name="lineCanvas"/> using <paramref name="style"/> and
    ///     <paramref name="attribute"/>.
    ///     The outer perimeter follows the shape of the rectangles in the region, even if non-rectangular, by drawing
    ///     boundaries and excluding internal lines.
    /// </summary>
    /// <param name="lineCanvas">The LineCanvas to draw on.</param>
    /// <param name="style">The line style to use for drawing.</param>
    /// <param name="attribute">The attribute (color/style) to use for the lines. If <c>null</c>.</param>
    public void DrawOuterBoundary (LineCanvas lineCanvas, LineStyle style, Attribute? attribute = null)
    {
        if (_rectangles.Count == 0)
        {
            return;
        }

        // Get the bounds of the region
        Rectangle bounds = GetBounds ();

        // Add protection against extremely large allocations
        if (bounds.Width > 1000 || bounds.Height > 1000)
        {
            // Fall back to drawing each rectangle's boundary
            DrawBoundaries(lineCanvas, style, attribute);
            return;
        }

        // Create a grid to track which cells are inside the region
        var insideRegion = new bool [bounds.Width + 1, bounds.Height + 1];

        // Fill the grid based on rectangles
        foreach (Rectangle rect in _rectangles)
        {
            if (rect.IsEmpty || rect.Width <= 0 || rect.Height <= 0)
            {
                continue;
            }

            for (int x = rect.Left; x < rect.Right; x++)
            {
                for (int y = rect.Top; y < rect.Bottom; y++)
                {
                    // Adjust coordinates to grid space
                    int gridX = x - bounds.Left;
                    int gridY = y - bounds.Top;

                    if (gridX >= 0 && gridX < bounds.Width && gridY >= 0 && gridY < bounds.Height)
                    {
                        insideRegion [gridX, gridY] = true;
                    }
                }
            }
        }

        // Find horizontal boundary lines
        for (var y = 0; y <= bounds.Height; y++)
        {
            int startX = -1;

            for (var x = 0; x <= bounds.Width; x++)
            {
                bool above = y > 0 && insideRegion [x, y - 1];
                bool below = y < bounds.Height && insideRegion [x, y];

                // A boundary exists where one side is inside and the other is outside
                bool isBoundary = above != below;

                if (isBoundary)
                {
                    // Start a new segment or continue the current one
                    if (startX == -1)
                    {
                        startX = x;
                    }
                }
                else
                {
                    // End the current segment if one exists
                    if (startX != -1)
                    {
                        int length = x - startX + 1; // Add 1 to make sure lines connect

                        lineCanvas.AddLine (
                                            new (startX + bounds.Left, y + bounds.Top),
                                            length,
                                            Orientation.Horizontal,
                                            style,
                                            attribute
                                           );
                        startX = -1;
                    }
                }
            }

            // End any segment that reaches the right edge
            if (startX != -1)
            {
                int length = bounds.Width + 1 - startX + 1; // Add 1 to make sure lines connect

                lineCanvas.AddLine (
                                    new (startX + bounds.Left, y + bounds.Top),
                                    length,
                                    Orientation.Horizontal,
                                    style,
                                    attribute
                                   );
            }
        }

        // Find vertical boundary lines
        for (var x = 0; x <= bounds.Width; x++)
        {
            int startY = -1;

            for (var y = 0; y <= bounds.Height; y++)
            {
                bool left = x > 0 && insideRegion [x - 1, y];
                bool right = x < bounds.Width && insideRegion [x, y];

                // A boundary exists where one side is inside and the other is outside
                bool isBoundary = left != right;

                if (isBoundary)
                {
                    // Start a new segment or continue the current one
                    if (startY == -1)
                    {
                        startY = y;
                    }
                }
                else
                {
                    // End the current segment if one exists
                    if (startY != -1)
                    {
                        int length = y - startY + 1; // Add 1 to make sure lines connect

                        lineCanvas.AddLine (
                                            new (x + bounds.Left, startY + bounds.Top),
                                            length,
                                            Orientation.Vertical,
                                            style,
                                            attribute
                                           );
                        startY = -1;
                    }
                }
            }

            // End any segment that reaches the bottom edge
            if (startY != -1)
            {
                int length = bounds.Height + 1 - startY + 1; // Add 1 to make sure lines connect

                lineCanvas.AddLine (
                                    new (x + bounds.Left, startY + bounds.Top),
                                    length,
                                    Orientation.Vertical,
                                    style,
                                    attribute
                                   );
            }
        }
    }
}