public Grid GetMinimumVerticallyStackedRectangles()
{
var grid = new Grid();
var coordinateRangeQueue = new Queue <CoordinateRange>();
var initialCoordinateRange = new CoordinateRange(0, 0, this.RectangleList.Last().BottomRightCoordinate.X);
coordinateRangeQueue.Enqueue(initialCoordinateRange);
var rectangleId = 1;
while (coordinateRangeQueue.Any())
{
var coordinateRange = coordinateRangeQueue.Dequeue();
var nextHeight = this.GetShortestHeightInCoordinateRange(coordinateRange);
if (this.CanStackMoreRectangles(nextHeight))
{
var shortestRectangles = this.GetRectanglesWithExactHeightInCoordinateRange(nextHeight.Value, coordinateRange);
var coordinateRangeToLeftOfFirstRectangle = new CoordinateRange(nextHeight.Value,
coordinateRange.MinX, shortestRectangles[0].TopLeftCoordinate.X);
coordinateRangeQueue.Enqueue(coordinateRangeToLeftOfFirstRectangle);
for (int i = 0; i < shortestRectangles.Length; i++)
{
if (i < shortestRectangles.Length - 1)
{
var coordinateRangeBetweenRectangles = new CoordinateRange(nextHeight.Value,
shortestRectangles[i].TopRightCoordinate.X,
shortestRectangles[i + 1].TopLeftCoordinate.X);
coordinateRangeQueue.Enqueue(coordinateRangeBetweenRectangles);
}
else
{
if (!IsFarRightRectangle(shortestRectangles[i]))
{
if (IsRectangleShorterThanTheRectangleToTheRight(shortestRectangles[i]))
{
var coordinateRangeToRightOfLastRectangle = new CoordinateRange(nextHeight.Value,
shortestRectangles[i].TopRightCoordinate.X,
this.GetFarRightWidthInRange(coordinateRange));
coordinateRangeQueue.Enqueue(coordinateRangeToRightOfLastRectangle);
}
}
}
}
var bottomLeftCoordinate = new Coordinate(coordinateRange.MinX, coordinateRange.MinY);
var height = nextHeight.Value - coordinateRange.MinY;
var width = coordinateRange.MaxX - coordinateRange.MinX;
var rectangle = new Rectangle(rectangleId, bottomLeftCoordinate, height, width);
rectangleId++;
grid.AddRectangle(rectangle);
}
}
return(grid);
}
private int GetFarRightWidthInRange(CoordinateRange coordinateRange)
{
return(this.RectangleList.Last(
x => x.Height > coordinateRange.MinY &&
x.BottomLeftCoordinate.X >= coordinateRange.MinX &&
x.BottomRightCoordinate.X <= coordinateRange.MaxX)
.BottomRightCoordinate.X);
}
private int?GetShortestHeightInCoordinateRange(CoordinateRange coordinateRange)
{
var rectangles = this.RectangleList
.Where(
x => x.Height > coordinateRange.MinY &&
x.BottomLeftCoordinate.X >= coordinateRange.MinX &&
x.BottomRightCoordinate.X <= coordinateRange.MaxX).ToList();
if (!rectangles.Any())
{
return(null);
}
return(rectangles.Min(x => x.Height));
}
private Rectangle[] GetRectanglesWithExactHeightInCoordinateRange(int height, CoordinateRange coordinateRange)
{
return(this.RectangleList
.Where(
x => x.Height == height &&
x.BottomLeftCoordinate.X >= coordinateRange.MinX &&
x.BottomRightCoordinate.X <= coordinateRange.MaxX)
.ToArray());
}
