public bool Encloses(List <Point> points)
{
List <Line> helpers = new List <Line>();
foreach (Point point in points)
{
helpers.Add(new Line(point, new Point(DRAWING_SCREEN_WIDTH, point.Y)));
}
foreach (Line helper in helpers)
{
//foreach (Side side1 in Sides)
//{
// side1.Checked = false;
//}
List <Side> VisualSides = GetVisualSides();
int intersectCount = 0;
bool isPointPartOfTheEdge = VisualSides.Any(s => s.IsPartOfMe(helper.Start));
if (!isPointPartOfTheEdge)
{
foreach (Side side in VisualSides)
{
if (side.Checked == false)
{
Orientation first = GetOrientation(helper.Start, helper.End, side.Start);
Orientation second = GetOrientation(helper.Start, helper.End, side.End);
Orientation third = GetOrientation(side.Start, side.End, helper.Start);
Orientation fourth = GetOrientation(side.Start, side.End, helper.End);
List <Orientation> orientations = new List <Orientation>()
{
first, second, third, fourth
};
if (orientations.Count(o => o == Orientation.Colinear) == 0 &&
first != second && third != fourth)
{
// ténylegesen metszik egymást
intersectCount++;
}
else if (orientations.Count(o => o == Orientation.Colinear) == 1)
{
if (first == Orientation.Colinear || second == Orientation.Colinear)
{
// o o
// \ |
// \ |
// o----o--o-o--o---------o helper
// | \
// | \
// o o
if (third != fourth)
{
//this condition should be always true
//az éppen vizsgált él azon csúcsa, ami rajta van a helperen
Point vertex = Vertices.Single(v => v.Y == helper.Start.Y && side.IsPartOfMe(v));
// a vizsgált élhez az előbb megkapott csúcsban csatlakozó másik él
//Side sideTwo = Sides.Single(s => (s.Start.Equals(vertex) || s.End.Equals(vertex)) && s.Id != side.Id);
Side sideTwo = VisualSides.Single(s => (s.Start.Equals(vertex) || s.End.Equals(vertex)) && s.Id != side.Id);
List <Point> pts = new List <Point>()
{
side.Start, side.End, sideTwo.Start, sideTwo.End
};
List <Point> pts2 = pts.Where(p => !p.Equals(vertex)).ToList();
if (pts2.ElementAt(0).Y > helper.Start.Y && pts2.ElementAt(1).Y > helper.Start.Y)
{
// o o
// \ /
// \ /
// o-------o-------------- helper
//
//
//
intersectCount += 2;
side.Checked = true;
foreach (Side s in VisualSides)
{
if (s.Equals(sideTwo))
{
s.Checked = true;
}
}
}
else if (pts2.ElementAt(0).Y < helper.Start.Y && pts2.ElementAt(1).Y < helper.Start.Y)
{
//
//
//
// o--------o------------- helper
// / \
// / \
// o o
intersectCount += 2;
side.Checked = true;
foreach (Side s in VisualSides)
{
if (s.Equals(sideTwo))
{
s.Checked = true;
}
}
}
else if (pts2.Any(v => v.Y == helper.Start.Y))
{
// itt a v-e1 él a vizsgált él, ha a e0-v lenne, akkor mind a négy colinear lenne
//
// (e0) v
// o---o-----o------------- helper
// \
// \
// o (e1)
//akkor hagyjuk az egészet és majd ez az oldal ott kerül feldolgozásra
// ahol a vizzszintes oldalt vizsgáljuk és a két hozzá kapcsolódó élt
}
else
{
//ez az általános eset
// o
// \
// \
// o-------o-------------- helper
// /
// /
// o
intersectCount++;
side.Checked = true;
foreach (Side s in VisualSides)
{
if (s.Equals(sideTwo))
{
s.Checked = true;
}
}
}
}
}
}
else if (orientations.Count(o => o == Orientation.Colinear) == 4)
{
if (helper.Start.X < side.Start.X)
{
// o (connectedOne)
// \
// \ (side)
// o-------o------o-------- helper
// |
// |
// o (connectedTwo)
//Side connectedSideOne = Sides.Single(s => s.End.Equals(side.Start));
//Side connectedSideTwo = Sides.Single(s => s.Start.Equals(side.End));
Side connectedSideOne = VisualSides.Single(s => s.End.Equals(side.Start));
Side connectedSideTwo = VisualSides.Single(s => s.Start.Equals(side.End));
List <Point> pts = new List <Point>()
{
connectedSideOne.Start, connectedSideOne.End, connectedSideTwo.Start, connectedSideTwo.End
};
List <Point> pts2 = pts.Where(p => !p.Equals(side.Start) && !p.Equals(side.End)).ToList();
if ((side.Start.Y < pts2.ElementAt(0).Y&& side.Start.Y < pts2.ElementAt(1).Y) ||
(pts2.ElementAt(0).Y < side.Start.Y && pts2.ElementAt(1).Y < side.Start.Y))
{
// o o
// \ /
// \ /
// o-------o------o---- helper
//
//
//
//
//
// o--------o------o-------- helper
// / \
// / \
// o o
intersectCount += 2;
}
else if (false)
{
// ezek még nincsenek lekezelve
//
// o---o~~~~o~~~~~~o~~~~o---- helper
//
//
//
// o
// \
// \
// o-------o~~~~~~o~~~~o---- helper
//
//
//
//
//
// o---o~~~~o~~~~~~o-------- helper
// \
// \
// o
}
else
{
// o
// \
// \
// o-------o-------o---- helper
// \
// \
// o
// o
// /
// /
// o-------o-------o---- helper
// /
// /
// o
intersectCount += 3;
}
side.Checked = true;
foreach (Side s in VisualSides)
{
if (s.Equals(connectedSideOne) || s.Equals(connectedSideTwo))
{
s.Checked = true;
}
}
}
}
}
}
}
else
{
intersectCount = 1;
}
if (intersectCount % 2 == 0)
{
return(false);
}
}
return(true);
}
public bool Equals(Side side)
{
return((Start.Equals(side.Start) && End.Equals(side.End)) || (Start.Equals(side.End) && End.Equals(side.Start)));
}
private static Side OtherSide(Side side)
{
return(side == Side.Left ? Side.Right : Side.Left);
}
private NodeMeta SwapWithAdjacent(NodeMeta meta, Side side)
{
Side otherSide = OtherSide(side);
NodeMeta adjacentMeta = Adjacent(side, meta);
Node adjacent = adjacentMeta.Node;
Node toBeReplaced = meta.Node;
Node adjacentParent = adjacentMeta.ParentMeta.Node;
// Swap the nodes.
// Cache the children of item to be replaced.
Node child = adjacent[side];
bool parentChildSwap = toBeReplaced[side] == adjacent;
// Adjacent takes place of node to be removed.
meta.ReplaceNode(adjacent);
if (meta.ParentMeta == null)
{
root = adjacent;
}
else
{
meta.ParentMeta.Node[meta.SideFromParent] = adjacent;
}
if (!parentChildSwap)
{
adjacent[side] = toBeReplaced[side];
}
adjacent[otherSide] = toBeReplaced[otherSide];
// Put node to be replaced in adjacent spot
if (parentChildSwap)
{
adjacent[otherSide] = toBeReplaced;
}
else
{
adjacentParent[otherSide] = toBeReplaced;
}
toBeReplaced[side] = child;
toBeReplaced[otherSide] = null; // This is null, that is how we know it is the leaf
adjacentMeta.ReplaceNode(toBeReplaced);
// Swap the color
Color temp = toBeReplaced.Color;
toBeReplaced.Color = adjacent.Color;
adjacent.Color = temp;
if (meta.ParentMeta == null)
{
adjacent.Color = Color.Black;
}
if (child == null)
{
// We have found the node to remove. Replace it with a sentinal
return(adjacentMeta);
}
else
{
return(SwapWithAdjacent(adjacentMeta, side));
}
}
private void BalanceTree(NodeMeta meta)
{
if (meta == null)
{
return;
}
/* Five steps of any balance operation
* 1) Extract relatives from meta data
* 2) Decide on operation to perform
* 3) Rotate as appropriate
* 4) Change colors as appropriate
* 5) Pass along metadata for next balance operation
* */
var current = meta.Node;
var parentMeta = meta.ParentMeta;
NodeMeta nextMeta = parentMeta;
if (current.Color == Color.DoubleBlack)
{
Side otherSide = OtherSide(meta.SideFromParent);
Node distalNephew = meta.Sibling[otherSide];
Node proximalNephew = meta.Sibling[meta.SideFromParent];
if (meta.Sibling.Color == Color.Black)
{
if (distalNephew != null && distalNephew.Color == Color.Red)
{
nextMeta = RotateToChild(meta.SideFromParent, meta.ParentMeta);
RemoveDoubleBlack(meta);
meta.Sibling.Color = Color.Red;
distalNephew.Color = Color.Black;
}
else if (proximalNephew != null && proximalNephew.Color == Color.Red)
{
var siblingMeta = new NodeMeta(meta.ParentMeta, meta.Sibling, otherSide, current);
nextMeta = RotateToChild(otherSide, siblingMeta);
proximalNephew.Color = Color.Black;
meta.Sibling.Color = Color.Red;
// Re-run this algorithm to process the distalNephew case.
nextMeta = meta;
}
else
{
RemoveDoubleBlack(meta);
meta.Sibling.Color = Color.Red;
var color = meta.ParentMeta.Node.Color == Color.Red ? Color.Black : Color.DoubleBlack;
meta.ParentMeta.Node.Color = color;
nextMeta = color == Color.DoubleBlack ? meta.ParentMeta : null;
}
}
else
{
meta.Sibling.Color = Color.Black;
meta.ParentMeta.Node.Color = Color.Red;
nextMeta = RotateToChild(meta.SideFromParent, meta.ParentMeta);
var gpmeta = nextMeta ?? new NodeMeta(root);
var pmeta = new NodeMeta(gpmeta, meta.ParentMeta.Node, meta.SideFromParent, gpmeta.Node[otherSide]);
nextMeta = new NodeMeta(pmeta, meta.Node, meta.SideFromParent, meta.ParentMeta.Node[otherSide]);
}
}
else if (current.Color == Color.Red)
{
if (parentMeta.Node.Color == Color.Red)
{
if (parentMeta.Sibling != null && parentMeta.Sibling.Color == Color.Red)
{
// Papa and Uncle are Red, but Grandpa is black. Swap colors for everyone.
parentMeta.Sibling.Color = Color.Black;
parentMeta.Node.Color = Color.Black;
SetRed(parentMeta.ParentMeta.Node);
// Skip a generation.
nextMeta = parentMeta.ParentMeta;
}
else if (meta.SideFromParent == parentMeta.SideFromParent)
{
// Handle Left-Left or Right-Right
//http://www.geeksforgeeks.org/red-black-tree-set-2-insert/
nextMeta = RotateToChild(OtherSide(meta.SideFromParent), parentMeta.ParentMeta);
var newSibling = parentMeta.ParentMeta.Node;
SetRed(newSibling);
meta.ParentMeta.Node.Color = Color.Black;
}
else
{
// Handle Left-Right or Right-Left
//http://www.geeksforgeeks.org/red-black-tree-set-2-insert/
// We know that our sibling is null
// We know that we have a grandparent.
nextMeta = RotateUpTwo(meta);
if (nextMeta == null)
{
SetRoot(meta.Node);
}
meta.Node.Color = Color.Black;
SetRed(meta.ParentMeta.ParentMeta.Node);
}
}
/* Node is red, and parent is black.
* If sibling is red, we can push the red up a node.
* This is not necessary, so I comment it out.
*/
//else if (meta.Sibling != null && meta.Sibling.Color == Color.Red) {
// meta.Node.Color = Color.Black;
// meta.Sibling.Color = Color.Black;
// SetRed(meta.ParentMeta.Node);
//}
}
BalanceTree(nextMeta);
}
public virtual Node this[Side side] {
get { return(children[(int)side]); }
set { children[(int)side] = value; }
}
