static bool IsDisjoint(Rect a, Rect b)
{
if ((a.x + a.width <= b.x) ||
(b.x + b.width <= a.x) ||
(a.y + a.height <= b.y) ||
(b.y + b.height <= a.y))
return true;
return false;
}
public Rect Copy()
{
Rect r = new Rect();
r.x = x;
r.y = y;
r.width = width;
r.height = height;
return r;
}
bool Disjoint(Rect r)
{
// Degenerate rectangles are ignored.
if (r.width == 0 || r.height == 0)
return true;
for (int i = 0; i < rects.Count; ++i)
if (!IsDisjoint(rects[i], r))
return false;
return true;
}
public bool Add(Rect r)
{
// Degenerate rectangles are ignored.
if (r.width == 0 || r.height == 0)
return true;
if (!Disjoint(r))
return false;
rects.Add(r);
return true;
}
/// (Re)initializes the packer to an empty bin of width x height units. Call whenever
/// you need to restart with a new bin.
public void Init(int width, int height)
{
binWidth = width;
binHeight = height;
Rect n = new Rect();
n.x = 0;
n.y = 0;
n.width = width;
n.height = height;
usedRectangles.Clear();
freeRectangles.Clear();
freeRectangles.Add(n);
}
/// (Re)initializes the packer to an empty bin of width x height units. Call whenever
/// you need to restart with a new bin.
private void Init(int width, int height, bool allowRotation)
{
binWidth = width;
binHeight = height;
this.allowRotation = allowRotation;
Rect n = new Rect();
n.x = 0;
n.y = 0;
n.width = width;
n.height = height;
usedRectangles.Clear();
freeRectangles.Clear();
freeRectangles.Add(n);
}
/// Performs a lexicographic compare on (rect short side, rect long side).
/// @return -1 if the smaller side of a is shorter than the smaller side of b, 1 if the other way around.
/// If they are equal, the larger side length is used as a tie-breaker.
/// If the rectangles are of same size, returns 0.
// public static int CompareRectShortSide(Rect a, Rect b);
/// Performs a lexicographic compare on (x, y, width, height).
// public static int NodeSortCmp(Rect a, Rect b);
/// Returns true if a is contained in b.
public static bool IsContainedIn(Rect a, Rect b)
{
return (a.x >= b.x) && (a.y >= b.y)
&& (a.x + a.width <= b.x + b.width)
&& (a.y + a.height <= b.y + b.height);
}
/// @return True if the free node was split.
bool SplitFreeNode(Rect freeNode, Rect usedNode)
{
// Test with SAT if the rectangles even intersect.
if (usedNode.x >= freeNode.x + freeNode.width || usedNode.x + usedNode.width <= freeNode.x ||
usedNode.y >= freeNode.y + freeNode.height || usedNode.y + usedNode.height <= freeNode.y)
return false;
if (usedNode.x < freeNode.x + freeNode.width && usedNode.x + usedNode.width > freeNode.x)
{
// New node at the top side of the used node.
if (usedNode.y > freeNode.y && usedNode.y < freeNode.y + freeNode.height)
{
Rect newNode = freeNode.Copy();
newNode.height = usedNode.y - newNode.y;
freeRectangles.Add(newNode);
}
// New node at the bottom side of the used node.
if (usedNode.y + usedNode.height < freeNode.y + freeNode.height)
{
Rect newNode = freeNode.Copy();
newNode.y = usedNode.y + usedNode.height;
newNode.height = freeNode.y + freeNode.height - (usedNode.y + usedNode.height);
freeRectangles.Add(newNode);
}
}
if (usedNode.y < freeNode.y + freeNode.height && usedNode.y + usedNode.height > freeNode.y)
{
// New node at the left side of the used node.
if (usedNode.x > freeNode.x && usedNode.x < freeNode.x + freeNode.width)
{
Rect newNode = freeNode.Copy();
newNode.width = usedNode.x - newNode.x;
freeRectangles.Add(newNode);
}
// New node at the right side of the used node.
if (usedNode.x + usedNode.width < freeNode.x + freeNode.width)
{
Rect newNode = freeNode.Copy();
newNode.x = usedNode.x + usedNode.width;
newNode.width = freeNode.x + freeNode.width - (usedNode.x + usedNode.width);
freeRectangles.Add(newNode);
}
}
return true;
}
/// Places the given rectangle into the bin.
void PlaceRect(Rect node)
{
int numRectanglesToProcess = freeRectangles.Count;
for (int i = 0; i < numRectanglesToProcess; ++i)
{
if (SplitFreeNode(freeRectangles[i], node))
{
freeRectangles.RemoveAt(i);
--i;
--numRectanglesToProcess;
}
}
PruneFreeList();
usedRectangles.Add(node);
// dst.push_back(bestNode); ///\todo Refactor so that this compiles.
}
Rect FindPositionForNewNodeContactPoint(int width, int height, ref int bestContactScore)
{
Rect bestNode = new Rect();
bestContactScore = -1;
for (int i = 0; i < freeRectangles.Count; ++i)
{
// Try to place the rectangle in upright (non-flipped) orientation.
if (freeRectangles[i].width >= width && freeRectangles[i].height >= height)
{
int score = ContactPointScoreNode(freeRectangles[i].x, freeRectangles[i].y, width, height);
if (score > bestContactScore)
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = width;
bestNode.height = height;
bestContactScore = score;
}
}
if (freeRectangles[i].width >= height && freeRectangles[i].height >= width)
{
int score = ContactPointScoreNode(freeRectangles[i].x, freeRectangles[i].y, width, height);
if (score > bestContactScore)
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = height;
bestNode.height = width;
bestContactScore = score;
}
}
}
return bestNode;
}
Rect FindPositionForNewNodeBottomLeft(int width, int height, ref int bestY, ref int bestX)
{
Rect bestNode = new Rect();
// memset(&bestNode, 0, sizeof(Rect)); // done in constructor
bestY = Int32.MaxValue;
for (int i = 0; i < freeRectangles.Count; ++i)
{
// Try to place the rectangle in upright (non-flipped) orientation.
if (freeRectangles[i].width >= width && freeRectangles[i].height >= height)
{
int topSideY = freeRectangles[i].y + height;
if (topSideY < bestY || (topSideY == bestY && freeRectangles[i].x < bestX))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = width;
bestNode.height = height;
bestY = topSideY;
bestX = freeRectangles[i].x;
}
}
if (freeRectangles[i].width >= height && freeRectangles[i].height >= width)
{
int topSideY = freeRectangles[i].y + width;
if (topSideY < bestY || (topSideY == bestY && freeRectangles[i].x < bestX))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = height;
bestNode.height = width;
bestY = topSideY;
bestX = freeRectangles[i].x;
}
}
}
return bestNode;
}
Rect FindPositionForNewNodeBestShortSideFit(int width, int height, ref int bestShortSideFit, ref int bestLongSideFit)
{
Rect bestNode = new Rect();
//memset(&bestNode, 0, sizeof(Rect));
bestShortSideFit = Int32.MaxValue;
for (int i = 0; i < freeRectangles.Count; ++i)
{
// Try to place the rectangle in upright (non-flipped) orientation.
if (freeRectangles[i].width >= width && freeRectangles[i].height >= height)
{
int leftoverHoriz = Math.Abs(freeRectangles[i].width - width);
int leftoverVert = Math.Abs(freeRectangles[i].height - height);
int shortSideFit = Math.Min(leftoverHoriz, leftoverVert);
int longSideFit = Math.Max(leftoverHoriz, leftoverVert);
if (shortSideFit < bestShortSideFit || (shortSideFit == bestShortSideFit && longSideFit < bestLongSideFit))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = width;
bestNode.height = height;
bestShortSideFit = shortSideFit;
bestLongSideFit = longSideFit;
}
}
if (freeRectangles[i].width >= height && freeRectangles[i].height >= width)
{
int flippedLeftoverHoriz = Math.Abs(freeRectangles[i].width - height);
int flippedLeftoverVert = Math.Abs(freeRectangles[i].height - width);
int flippedShortSideFit = Math.Min(flippedLeftoverHoriz, flippedLeftoverVert);
int flippedLongSideFit = Math.Max(flippedLeftoverHoriz, flippedLeftoverVert);
if (flippedShortSideFit < bestShortSideFit || (flippedShortSideFit == bestShortSideFit && flippedLongSideFit < bestLongSideFit))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = height;
bestNode.height = width;
bestShortSideFit = flippedShortSideFit;
bestLongSideFit = flippedLongSideFit;
}
}
}
return bestNode;
}
/// Inserts a single rectangle into the bin, possibly rotated.
public Rect Insert(int width, int height, FreeRectChoiceHeuristic method)
{
Rect newNode = new Rect();
int score1 = 0; // Unused in this function. We don't need to know the score after finding the position.
int score2 = 0;
switch (method)
{
case FreeRectChoiceHeuristic.RectBestShortSideFit: newNode = FindPositionForNewNodeBestShortSideFit(width, height, ref score1, ref score2); break;
case FreeRectChoiceHeuristic.RectBottomLeftRule: newNode = FindPositionForNewNodeBottomLeft(width, height, ref score1, ref score2); break;
case FreeRectChoiceHeuristic.RectContactPointRule: newNode = FindPositionForNewNodeContactPoint(width, height, ref score1); break;
case FreeRectChoiceHeuristic.RectBestLongSideFit: newNode = FindPositionForNewNodeBestLongSideFit(width, height, ref score2, ref score1); break;
case FreeRectChoiceHeuristic.RectBestAreaFit: newNode = FindPositionForNewNodeBestAreaFit(width, height, ref score1, ref score2); break;
}
if (newNode.height == 0)
return newNode;
int numRectanglesToProcess = freeRectangles.Count;
for (int i = 0; i < numRectanglesToProcess; ++i)
{
if (SplitFreeNode(freeRectangles[i], newNode))
{
freeRectangles.RemoveAt(i);
--i;
--numRectanglesToProcess;
}
}
PruneFreeList();
usedRectangles.Add(newNode);
return newNode;
}
Rect FindPositionForNewNodeBestAreaFit(int width, int height, ref int bestAreaFit, ref int bestShortSideFit)
{
Rect bestNode = new Rect();
bestAreaFit = Int32.MaxValue;
for (int i = 0; i < freeRectangles.Count; ++i)
{
int areaFit = freeRectangles[i].width * freeRectangles[i].height - width * height;
// Try to place the rectangle in upright (non-flipped) orientation.
if (freeRectangles[i].width >= width && freeRectangles[i].height >= height)
{
int leftoverHoriz = Math.Abs(freeRectangles[i].width - width);
int leftoverVert = Math.Abs(freeRectangles[i].height - height);
int shortSideFit = Math.Min(leftoverHoriz, leftoverVert);
if (areaFit < bestAreaFit || (areaFit == bestAreaFit && shortSideFit < bestShortSideFit))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = width;
bestNode.height = height;
bestShortSideFit = shortSideFit;
bestAreaFit = areaFit;
}
}
if (allowRotation && freeRectangles[i].width >= height && freeRectangles[i].height >= width)
{
int leftoverHoriz = Math.Abs(freeRectangles[i].width - height);
int leftoverVert = Math.Abs(freeRectangles[i].height - width);
int shortSideFit = Math.Min(leftoverHoriz, leftoverVert);
if (areaFit < bestAreaFit || (areaFit == bestAreaFit && shortSideFit < bestShortSideFit))
{
bestNode.x = freeRectangles[i].x;
bestNode.y = freeRectangles[i].y;
bestNode.width = height;
bestNode.height = width;
bestShortSideFit = shortSideFit;
bestAreaFit = areaFit;
}
}
}
return bestNode;
}