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| program Qtree;
uses Forms,
UnitMainForm in 'UnitMainForm.pas' {MainForm},
UnitModel in 'UnitModel.pas';
{$R *.res}
begin
Application.Initialize;
Application.CreateForm(TMainForm, MainForm);
Application.Run;
end.
unit UnitModel;
interface
uses Classes;
const M = 3; //число точек в листе
type
//Тип узла дерева-----------------------------------
TNodeKind = (nkBranch, nkLeaf);
TPoint = record
X: real;
Y: real;
end;
TRect = record
X1, Y1, X2, Y2: real;
end;
//Массив для хранения точек в листе-----------------
TArrayOfPoints = array[1..M] of TPoint;
//Узел дерева---------------------------------------
PNode = ^TNode;
TNode = packed record
case Kind: TNodeKind of
nkBranch: (SZ, SV, YZ, YV: PNode);
nkLeaf: (Points: TArrayOfPoints;
PointsCount: integer);
end;
function InsertPoint(var Node: PNode; Bounds: TRect; Point: TPoint): boolean;
procedure DeletePoint(var Node: PNode; Bounds: TRect; Point: TPoint);
procedure ClearTree(var Node: PNode);
function Find(Node: PNode; const Bounds, Rect: TRect): TList;
implementation
//Установка характеристик нового листа =======================================
procedure SetProperties(var ChildNode: PNode);
begin
New(ChildNode);
ChildNode^.Kind:= nkLeaf;
ChildNode^.PointsCount:= 0; //в массиве нет точек
end;
//Копирование точек из листа в дополнительный массив =========================
procedure CopyPoints(Node: PNode; var DopArray: TArrayOfPoints; var i: integer);
var j: integer;
begin
for j:=1 to Node^.PointsCount do
begin
DopArray[i]:= Node^.Points[j];
inc(i);
end;
end;
//ВСТАВКА ТОЧКИ В ДЕРЕВО =====================================================
function InsertPoint(var Node: PNode; Bounds: TRect; Point: TPoint): boolean;
var CurNode: PNode; //текущий квадрант
DopArray: TArrayOfPoints; //дополнительный массив (когда делим узел)
i: integer;
midX, midY: real;
NewBounds: TRect;
begin
if Node = nil then
begin
New(Node);
Node^.Kind:= nkLeaf;
Node^.PointsCount:= 0;
end;
CurNode:= Node;
Result:= true;
with Bounds do
begin
while CurNode^.Kind = nkBranch do //если ветвь, то смотрим, куда идти
begin
midX:= (X2 - X1)/2 + X1;
midY:= (Y2 - Y1)/2 + Y1;
if Point.X < midX then
if Point.Y < midY then
begin
CurNode:= CurNode^.SZ;
X2:= midX;
Y2:= midY;
end
else
begin
CurNode:= CurNode^.YZ;
Y1:= midY;
X2:= midX;
end
else
if Point.Y < midY then
begin
CurNode:= CurNode^.SV;
X1:= midX;
Y2:= midY;
end
else
begin
CurNode:= CurNode^.YV;
X1:= midX;
Y1:= midY;
end;
end;
midX:= (X2 - X1)/2 + X1;
midY:= (Y2 - Y1)/2 + Y1;
end;
//Собственно вставка----------------------------------------------------------
//Проверить, есть ли место в массиве точек и нет ли уже там новой:
for i:=1 to CurNode^.PointsCount do
if (CurNode^.Points[i].X = Point.X)and(CurNode^.Points[i].Y = Point.Y) then
begin
Result:= false;
Exit;
end;
//Если массив не заполнен, вставляем точку...
if CurNode^.PointsCount < M then
begin
CurNode^.Points[CurNode^.PointsCount + 1]:= Point;
CurNode^.PointsCount:= CurNode^.PointsCount + 1;
end
else
begin
//...иначе делим лист на 4 новых:
DopArray:= CurNode^.Points;
CurNode^.Kind:= nkBranch;
SetProperties(CurNode^.SZ);
SetProperties(CurNode^.SV);
SetProperties(CurNode^.YZ);
SetProperties(CurNode^.YV);
//Распределение точек по узлам
for i:=1 to M do
with Bounds do
if DopArray[i].X < midX then
if DopArray[i].Y < midY then
begin
NewBounds.X1:= X1;
NewBounds.X2:= (X2 - X1)/2 + X1;
NewBounds.Y1:= Y1;
NewBounds.Y2:= (Y2 - Y1)/2 + Y1;
InsertPoint(CurNode^.SZ, NewBounds, DopArray[i]);
end
else
begin
NewBounds.X1:= X1;
NewBounds.X2:= (X2 - X1)/2 + X1;
NewBounds.Y1:= (Y2 - Y1)/2 + Y1;
NewBounds.Y2:= Y2;
InsertPoint(CurNode^.YZ, NewBounds, DopArray[i]);
end
else
if DopArray[i].Y < midY then
begin
NewBounds.X1:= (X2 - X1)/2 + X1;
NewBounds.X2:= X2;
NewBounds.Y1:= Y1;
NewBounds.Y2:= (Y2 - Y1)/2 + Y1;
InsertPoint(CurNode^.SV, NewBounds, DopArray[i]);
end
else
begin
NewBounds.X1:= (X2 - X1)/2 + X1;
NewBounds.X2:= X2;
NewBounds.Y1:= (Y2 - Y1)/2 + Y1;
NewBounds.Y2:= Y2;
InsertPoint(CurNode^.YV, |
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