Algorithm 分隔重叠矩形的算法？
这个问题实际上涉及滚动，我将在下面概括如下： 我有一个二维视图，在屏幕上的一个区域内有许多矩形。我该如何展开这些盒子，使它们不会相互重叠，而只是以最小的移动量来调整它们 矩形的位置是动态的，取决于用户的输入，因此它们的位置可以是任意位置 附图显示了问题和所需的解决方案 实际上，现实生活中的问题是关于翻车 对评论中问题的回答Algorithm 分隔重叠矩形的算法？,algorithm,user-interface,language-agnostic,graphics,Algorithm,User Interface,Language Agnostic,Graphics,这个问题实际上涉及滚动，我将在下面概括如下： 我有一个二维视图，在屏幕上的一个区域内有许多矩形。我该如何展开这些盒子，使它们不会相互重叠，而只是以最小的移动量来调整它们 矩形的位置是动态的，取决于用户的输入，因此它们的位置可以是任意位置 附图显示了问题和所需的解决方案 实际上，现实生活中的问题是关于翻车 对评论中问题的回答 矩形的大小不是固定的，它取决于滚动中文本的长度 关于屏幕大小，现在我认为最好假设屏幕的大小足以容纳矩形。如果有太多的矩形和算法产生没有解决方案，那么我只需要调整内容 “最低限
这将使矩形逐渐远离彼此和所有矩形的中心。这将终止，因为步骤4中的v组件最终将自己足够分散它们。我在这方面做了一些工作，因为我也需要类似的东西，但我推迟了算法开发。你帮我得到了一些冲动：D 我还需要源代码，所以在这里。我在Mathematica中解决了这个问题，但由于我没有大量使用函数特性，我想它很容易翻译成任何过程语言 历史视角 首先，我决定开发圆的算法，因为交点更容易计算。这取决于中心和半径。 我能够使用Mathematica方程求解器，而且它的性能很好 看看： 这很容易。我刚刚加载了具有以下问题的解算器：
For each circle
Solve[
Find new coördinates for the circle
Minimizing the distance to the geometric center of the image
Taking in account that
Distance between centers > R1+R2 *for all other circles
Move the circle in a line between its center and the
geometric center of the drawing
]
(*Define some functions first*)
Clear["Global`*"];
rn[x_] := RandomReal[{0, x}];
rnR[x_] := RandomReal[{1, x}];
rndCol[] := RGBColor[rn[1], rn[1], rn[1]];
minX[l_, i_] := l[[i]][[1]][[1]]; (*just for easy reading*)
maxX[l_, i_] := l[[i]][[1]][[2]];
minY[l_, i_] := l[[i]][[2]][[1]];
maxY[l_, i_] := l[[i]][[2]][[2]];
color[l_, i_]:= l[[i]][[3]];
intersectsQ[l_, i_, j_] := (* l list, (i,j) indexes,
list={{x1,x2},{y1,y2}} *)
(*A rect does intesect with itself*)
If[Max[minX[l, i], minX[l, j]] < Min[maxX[l, i], maxX[l, j]] &&
Max[minY[l, i], minY[l, j]] < Min[maxY[l, i], maxY[l, j]],
True,False];
(* Number of Intersects for a Rectangle *)
(* With i as index*)
countIntersects[l_, i_] :=
Count[Table[intersectsQ[l, i, j], {j, 1, Length[l]}], True]-1;
(*And With r as rectangle *)
countIntersectsR[l_, r_] := (
Return[Count[Table[intersectsQ[Append[l, r], Length[l] + 1, j],
{j, 1, Length[l] + 1}], True] - 2];)
(* Get the maximum intersections for all rectangles*)
findMaxIntesections[l_] := Max[Table[countIntersects[l, i],
{i, 1, Length[l]}]];
(* Get the rectangle center *)
rectCenter[l_, i_] := {1/2 (maxX[l, i] + minX[l, i] ),
1/2 (maxY[l, i] + minY[l, i] )};
(* Get the Geom center of the whole figure (list), to move aesthetically*)
geometryCenter[l_] := (* returs {x,y} *)
Mean[Table[rectCenter[l, i], {i, Length[l]}]];
(* Increment or decr. size of all rects by a bit (put/remove borders)*)
changeSize[l_, incr_] :=
Table[{{minX[l, i] - incr, maxX[l, i] + incr},
{minY[l, i] - incr, maxY[l, i] + incr},
color[l, i]},
{i, Length[l]}];
sortListByIntersections[l_] := (* Order list by most intersecting Rects*)
Module[{a, b},
a = MapIndexed[{countIntersectsR[l, #1], #2} &, l];
b = SortBy[a, -#[[1]] &];
Return[Table[l[[b[[i]][[2]][[1]]]], {i, Length[b]}]];
];
(* Utility Functions*)
deb[x_] := (Print["--------"]; Print[x]; Print["---------"];)(* for debug *)
tableForPlot[l_] := (*for plotting*)
Table[{color[l, i], Rectangle[{minX[l, i], minY[l, i]},
{maxX[l, i], maxY[l, i]}]}, {i, Length[l]}];
genList[nonOverlap_, Overlap_] := (* Generate initial lists of rects*)
Module[{alist, blist, a, b},
(alist = (* Generate non overlapping - Tabuloid *)
Table[{{Mod[i, 3], Mod[i, 3] + .8},
{Mod[i, 4], Mod[i, 4] + .8},
rndCol[]}, {i, nonOverlap}];
blist = (* Random overlapping *)
Table[{{a = rnR[3], a + rnR[2]}, {b = rnR[3], b + rnR[2]},
rndCol[]}, {Overlap}];
Return[Join[alist, blist] (* Join both *)];)
];
为了简洁起见，我没有包括源代码，但如果你认为你可以使用它，就去索取吧。我认为，如果您这样做，最好切换到R树（此处需要大量的间隔测试）我认为此解决方案与cape1232给出的解决方案非常相似，但它已经实现，因此值得检查：） 按照这个reddit讨论：查看描述和实现。由于没有可用的源代码，因此我在AS3中采用了解决此问题的方法（工作原理完全相同，但保持矩形与网格的分辨率一致）：
公共类RoomSeparator扩展了AbstractAction{
公共功能房间分隔符（名称：String=“房间分隔符”）{
超级（姓名）；
}
重写公共函数get finished（）：布尔{return\u step==1；}
重写公共函数步骤（）：void{
常数重复系数：数值=1.0；
_步骤=1；
变量计数：int=\u activeRoomContainer.childrence.length；
对于（变量i:int=0；i(*Define some functions first*)
Clear["Global`*"];
rn[x_] := RandomReal[{0, x}];
rnR[x_] := RandomReal[{1, x}];
rndCol[] := RGBColor[rn[1], rn[1], rn[1]];
minX[l_, i_] := l[[i]][[1]][[1]]; (*just for easy reading*)
maxX[l_, i_] := l[[i]][[1]][[2]];
minY[l_, i_] := l[[i]][[2]][[1]];
maxY[l_, i_] := l[[i]][[2]][[2]];
color[l_, i_]:= l[[i]][[3]];
intersectsQ[l_, i_, j_] := (* l list, (i,j) indexes,
list={{x1,x2},{y1,y2}} *)
(*A rect does intesect with itself*)
If[Max[minX[l, i], minX[l, j]] < Min[maxX[l, i], maxX[l, j]] &&
Max[minY[l, i], minY[l, j]] < Min[maxY[l, i], maxY[l, j]],
True,False];
(* Number of Intersects for a Rectangle *)
(* With i as index*)
countIntersects[l_, i_] :=
Count[Table[intersectsQ[l, i, j], {j, 1, Length[l]}], True]-1;
(*And With r as rectangle *)
countIntersectsR[l_, r_] := (
Return[Count[Table[intersectsQ[Append[l, r], Length[l] + 1, j],
{j, 1, Length[l] + 1}], True] - 2];)
(* Get the maximum intersections for all rectangles*)
findMaxIntesections[l_] := Max[Table[countIntersects[l, i],
{i, 1, Length[l]}]];
(* Get the rectangle center *)
rectCenter[l_, i_] := {1/2 (maxX[l, i] + minX[l, i] ),
1/2 (maxY[l, i] + minY[l, i] )};
(* Get the Geom center of the whole figure (list), to move aesthetically*)
geometryCenter[l_] := (* returs {x,y} *)
Mean[Table[rectCenter[l, i], {i, Length[l]}]];
(* Increment or decr. size of all rects by a bit (put/remove borders)*)
changeSize[l_, incr_] :=
Table[{{minX[l, i] - incr, maxX[l, i] + incr},
{minY[l, i] - incr, maxY[l, i] + incr},
color[l, i]},
{i, Length[l]}];
sortListByIntersections[l_] := (* Order list by most intersecting Rects*)
Module[{a, b},
a = MapIndexed[{countIntersectsR[l, #1], #2} &, l];
b = SortBy[a, -#[[1]] &];
Return[Table[l[[b[[i]][[2]][[1]]]], {i, Length[b]}]];
];
(* Utility Functions*)
deb[x_] := (Print["--------"]; Print[x]; Print["---------"];)(* for debug *)
tableForPlot[l_] := (*for plotting*)
Table[{color[l, i], Rectangle[{minX[l, i], minY[l, i]},
{maxX[l, i], maxY[l, i]}]}, {i, Length[l]}];
genList[nonOverlap_, Overlap_] := (* Generate initial lists of rects*)
Module[{alist, blist, a, b},
(alist = (* Generate non overlapping - Tabuloid *)
Table[{{Mod[i, 3], Mod[i, 3] + .8},
{Mod[i, 4], Mod[i, 4] + .8},
rndCol[]}, {i, nonOverlap}];
blist = (* Random overlapping *)
Table[{{a = rnR[3], a + rnR[2]}, {b = rnR[3], b + rnR[2]},
rndCol[]}, {Overlap}];
Return[Join[alist, blist] (* Join both *)];)
];
clist = genList[6, 4]; (* Generate a mix fixed & random set *)
incr = 0.05; (* may be some heuristics needed to determine best increment*)
clist = changeSize[clist,incr]; (* expand rects so that borders does not
touch each other*)
(* Now remove all intercepting rectangles until no more intersections *)
workList = {}; (* the stack*)
While[findMaxIntesections[clist] > 0,
(*Iterate until no intersections *)
clist = sortListByIntersections[clist];
(*Put the most intersected first*)
PrependTo[workList, First[clist]];
(* Push workList with intersected *)
clist = Delete[clist, 1]; (* and Drop it from clist *)
];
(* There are no intersections now, lets pop the stack*)
While [workList != {},
PrependTo[clist, First[workList]];
(*Push first element in front of clist*)
workList = Delete[workList, 1];
(* and Drop it from worklist *)
toMoveIndex = 1;
(*Will move the most intersected Rect*)
g = geometryCenter[clist];
(*so the geom. perception is preserved*)
vectorToMove = rectCenter[clist, toMoveIndex] - g;
If [Norm[vectorToMove] < 0.01, vectorToMove = {1,1}]; (*just in case*)
vectorToMove = vectorToMove/Norm[vectorToMove];
(*to manage step size wisely*)
(*Now iterate finding minimum move first one way, then the other*)
i = 1; (*movement quantity*)
While[countIntersects[clist, toMoveIndex] != 0,
(*If the Rect still intersects*)
(*move it alternating ways (-1)^n *)
clist[[toMoveIndex]][[1]] += (-1)^i i incr vectorToMove[[1]];(*X coords*)
clist[[toMoveIndex]][[2]] += (-1)^i i incr vectorToMove[[2]];(*Y coords*)
i++;
];
];
clist = changeSize[clist, -incr](* restore original sizes*);
Expand each rectangle size by a few points to get gaps in final configuration
While There are intersections
sort list of rectangles by number of intersections
push most intersected rectangle on stack, and remove it from list
// Now all remaining rectangles doesn't intersect each other
While stack not empty
find the geometric center G of the chart (each time!)
find the PREFERRED movement vector M (from G to rectangle center)
pop rectangle from stack
With the rectangle
While there are intersections (list+rectangle)
For increasing movement modulus
For increasing angle (0, Pi/4)
rotate vector M expanding the angle alongside M
(* angle, -angle, Pi + angle, Pi-angle*)
re-position the rectangle accorging to M
Re-insert modified vector into list
Shrink the rectangles to its original size
public class RoomSeparator extends AbstractAction {
public function RoomSeparator(name:String = "Room Separator") {
super(name);
}
override public function get finished():Boolean { return _step == 1; }
override public function step():void {
const repelDecayCoefficient:Number = 1.0;
_step = 1;
var count:int = _activeRoomContainer.children.length;
for(var i:int = 0; i < count; i++) {
var room:Room = _activeRoomContainer.children[i];
var center:Vector3D = new Vector3D(room.x + room.width / 2, room.y + room.height / 2);
var velocity:Vector3D = new Vector3D();
for(var j:int = 0; j < count; j++) {
if(i == j)
continue;
var otherRoom:Room = _activeRoomContainer.children[j];
var intersection:Rectangle = GeomUtil.rectangleIntersection(room.createRectangle(), otherRoom.createRectangle());
if(intersection == null || intersection.width == 0 || intersection.height == 0)
continue;
var otherCenter:Vector3D = new Vector3D(otherRoom.x + otherRoom.width / 2, otherRoom.y + otherRoom.height / 2);
var diff:Vector3D = center.subtract(otherCenter);
if(diff.length > 0) {
var scale:Number = repelDecayCoefficient / diff.lengthSquared;
diff.normalize();
diff.scaleBy(scale);
velocity = velocity.add(diff);
}
}
if(velocity.length > 0) {
_step = 0;
velocity.normalize();
room.x += Math.abs(velocity.x) < 0.5 ? 0 : velocity.x > 0 ? _resolution : -_resolution;
room.y += Math.abs(velocity.y) < 0.5 ? 0 : velocity.y > 0 ? _resolution : -_resolution;
}
}
}
}
do {
_separated = true;
for (Room room : getRooms()) {
// reset for iteration
Vector2 velocity = new Vector2();
Vector2 center = room.createCenter();
for (Room other_room : getRooms()) {
if (room == other_room)
continue;
if (!room.createRectangle().overlaps(other_room.createRectangle()))
continue;
Vector2 other_center = other_room.createCenter();
Vector2 diff = new Vector2(center.x - other_center.x, center.y - other_center.y);
float diff_len2 = diff.len2();
if (diff_len2 > 0f) {
final float repelDecayCoefficient = 1.0f;
float scale = repelDecayCoefficient / diff_len2;
diff.nor();
diff.scl(scale);
velocity.add(diff);
}
}
if (velocity.len2() > 0f) {
_separated = false;
velocity.nor().scl(delta * 20f);
room.getPosition().add(velocity);
}
}
} while (!_separated);
public final class BoxxyDistribution {
/* Static Definitions. */
private static final int INDEX_BOUNDS_MINIMUM_X = 0;
private static final int INDEX_BOUNDS_MINIMUM_Y = 1;
private static final int INDEX_BOUNDS_MAXIMUM_X = 2;
private static final int INDEX_BOUNDS_MAXIMUM_Y = 3;
private static final double onCalculateMagnitude(final double pDeltaX, final double pDeltaY) {
return Math.sqrt((pDeltaX * pDeltaX) + (pDeltaY + pDeltaY));
}
/* Updates the members of EnclosingBounds to ensure the dimensions of T can be completely encapsulated. */
private static final void onEncapsulateBounds(final double[] pEnclosingBounds, final double pMinimumX, final double pMinimumY, final double pMaximumX, final double pMaximumY) {
pEnclosingBounds[0] = Math.min(pEnclosingBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X], pMinimumX);
pEnclosingBounds[1] = Math.min(pEnclosingBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y], pMinimumY);
pEnclosingBounds[2] = Math.max(pEnclosingBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X], pMaximumX);
pEnclosingBounds[3] = Math.max(pEnclosingBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y], pMaximumY);
}
private static final void onEncapsulateBounds(final double[] pEnclosingBounds, final double[] pBounds) {
BoxxyDistribution.onEncapsulateBounds(pEnclosingBounds, pBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X], pBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y], pBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X], pBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y]);
}
private static final double onCalculateMidpoint(final double pMaximum, final double pMinimum) {
return ((pMaximum - pMinimum) * 0.5) + pMinimum;
}
/* Re-arranges a List of Rectangles into something aesthetically pleasing. */
public static final void onBoxxyDistribution(final List<Rectangle> pRectangles, final Rectangle pAnchor, final double pPadding, final double pAspectRatio, final float pRowFillPercentage) {
/* Create a safe clone of the Rectangles that we can modify as we please. */
final List<Rectangle> lRectangles = new ArrayList<Rectangle>(pRectangles);
/* Allocate a List to track the bounds of each Row. */
final List<double[]> lRowBounds = new ArrayList<double[]>(); // (MinX, MinY, MaxX, MaxY)
/* Ensure Rectangles does not contain the Anchor. */
lRectangles.remove(pAnchor);
/* Order the Rectangles via their proximity to the Anchor. */
Collections.sort(pRectangles, new Comparator<Rectangle>(){ @Override public final int compare(final Rectangle pT0, final Rectangle pT1) {
/* Calculate the Distance for pT0. */
final double lDistance0 = BoxxyDistribution.onCalculateMagnitude(pAnchor.getCenterX() - pT0.getCenterX(), pAnchor.getCenterY() - pT0.getCenterY());
final double lDistance1 = BoxxyDistribution.onCalculateMagnitude(pAnchor.getCenterX() - pT1.getCenterX(), pAnchor.getCenterY() - pT1.getCenterY());
/* Compare the magnitude in distance between the anchor and the Rectangles. */
return Double.compare(lDistance0, lDistance1);
} });
/* Initialize the RowBounds using the Anchor. */ /** TODO: Probably better to call getBounds() here. **/
lRowBounds.add(new double[]{ pAnchor.getX(), pAnchor.getY(), pAnchor.getX() + pAnchor.getWidth(), pAnchor.getY() + pAnchor.getHeight() });
/* Allocate a variable for tracking the TotalBounds of all rows. */
final double[] lTotalBounds = new double[]{ Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY };
/* Now we iterate the Rectangles to place them optimally about the Anchor. */
for(int i = 0; i < lRectangles.size(); i++) {
/* Fetch the Rectangle. */
final Rectangle lRectangle = lRectangles.get(i);
/* Iterate through each Row. */
for(final double[] lBounds : lRowBounds) {
/* Update the TotalBounds. */
BoxxyDistribution.onEncapsulateBounds(lTotalBounds, lBounds);
}
/* Allocate a variable to state whether the Rectangle has been allocated a suitable RowBounds. */
boolean lIsBounded = false;
/* Calculate the AspectRatio. */
final double lAspectRatio = (lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X] - lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X]) / (lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y] - lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y]);
/* We will now iterate through each of the available Rows to determine if a Rectangle can be stored. */
for(int j = 0; j < lRowBounds.size() && !lIsBounded; j++) {
/* Fetch the Bounds. */
final double[] lBounds = lRowBounds.get(j);
/* Calculate the width and height of the Bounds. */
final double lWidth = lBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X] - lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X];
final double lHeight = lBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y] - lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y];
/* Determine whether the Rectangle is suitable to fit in the RowBounds. */
if(lRectangle.getHeight() <= lHeight && !(lAspectRatio > pAspectRatio && lWidth > pRowFillPercentage * (lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X] - lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X]))) {
/* Register that the Rectangle IsBounded. */
lIsBounded = true;
/* Update the Rectangle's X and Y Co-ordinates. */
lRectangle.setFrame((lRectangle.getX() > BoxxyDistribution.onCalculateMidpoint(lBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X], lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X])) ? lBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_X] + pPadding : lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X] - (pPadding + lRectangle.getWidth()), lBounds[1], lRectangle.getWidth(), lRectangle.getHeight());
/* Update the Bounds. (Do not modify the vertical metrics.) */
BoxxyDistribution.onEncapsulateBounds(lTotalBounds, lRectangle.getX(), lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y], lRectangle.getX() + lRectangle.getWidth(), lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y] + lHeight);
}
}
/* Determine if the Rectangle has not been allocated a Row. */
if(!lIsBounded) {
/* Calculate the MidPoint of the TotalBounds. */
final double lCentreY = BoxxyDistribution.onCalculateMidpoint(lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y], lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y]);
/* Determine whether to place the bounds above or below? */
final double lYPosition = lRectangle.getY() < lCentreY ? lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y] - (pPadding + lRectangle.getHeight()) : (lTotalBounds[BoxxyDistribution.INDEX_BOUNDS_MAXIMUM_Y] + pPadding);
/* Create a new RowBounds. */
final double[] lBounds = new double[]{ pAnchor.getX(), lYPosition, pAnchor.getX() + lRectangle.getWidth(), lYPosition + lRectangle.getHeight() };
/* Allocate a new row, roughly positioned about the anchor. */
lRowBounds.add(lBounds);
/* Position the Rectangle. */
lRectangle.setFrame(lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_X], lBounds[BoxxyDistribution.INDEX_BOUNDS_MINIMUM_Y], lRectangle.getWidth(), lRectangle.getHeight());
}
}
}
public class Rectangles extends JPanel {
List<Rectangle2D> rectangles = new ArrayList<Rectangle2D>();
{
// x,y,w,h
rectangles.add(new Rectangle2D.Float(300, 50, 50, 50));
rectangles.add(new Rectangle2D.Float(300, 50, 20, 50));
rectangles.add(new Rectangle2D.Float(100, 100, 100, 50));
rectangles.add(new Rectangle2D.Float(120, 200, 50, 50));
rectangles.add(new Rectangle2D.Float(150, 130, 100, 100));
rectangles.add(new Rectangle2D.Float(0, 100, 100, 50));
for (int i = 0; i < 10; i++) {
for (int j = 0; j < 10; j++) {
rectangles.add(new Rectangle2D.Float(i * 40, j * 40, 20, 20));
}
}
}
List<Rectangle2D> rectanglesToDraw;
protected void reset() {
rectanglesToDraw = rectangles;
this.repaint();
}
private List<Rectangle2D> findIntersections(Rectangle2D rect, List<Rectangle2D> rectList) {
ArrayList<Rectangle2D> intersections = new ArrayList<Rectangle2D>();
for (Rectangle2D intersectingRect : rectList) {
if (!rect.equals(intersectingRect) && intersectingRect.intersects(rect)) {
intersections.add(intersectingRect);
}
}
return intersections;
}
protected void fix() {
rectanglesToDraw = new ArrayList<Rectangle2D>();
for (Rectangle2D rect : rectangles) {
Rectangle2D copyRect = new Rectangle2D.Double();
copyRect.setRect(rect);
rectanglesToDraw.add(copyRect);
}
// Find the center C of the bounding box of your rectangles.
Rectangle2D surroundRect = surroundingRect(rectanglesToDraw);
Point center = new Point((int) surroundRect.getCenterX(), (int) surroundRect.getCenterY());
int movementFactor = 5;
boolean hasIntersections = true;
while (hasIntersections) {
hasIntersections = false;
for (Rectangle2D rect : rectanglesToDraw) {
// Find all the rectangles R' that overlap R.
List<Rectangle2D> intersectingRects = findIntersections(rect, rectanglesToDraw);
if (intersectingRects.size() > 0) {
// Define a movement vector v.
Point movementVector = new Point(0, 0);
Point centerR = new Point((int) rect.getCenterX(), (int) rect.getCenterY());
// For each rectangle R that overlaps another.
for (Rectangle2D rPrime : intersectingRects) {
Point centerRPrime = new Point((int) rPrime.getCenterX(), (int) rPrime.getCenterY());
int xTrans = (int) (centerR.getX() - centerRPrime.getX());
int yTrans = (int) (centerR.getY() - centerRPrime.getY());
// Add a vector to v proportional to the vector between the center of R and R'.
movementVector.translate(xTrans < 0 ? -movementFactor : movementFactor,
yTrans < 0 ? -movementFactor : movementFactor);
}
int xTrans = (int) (centerR.getX() - center.getX());
int yTrans = (int) (centerR.getY() - center.getY());
// Add a vector to v proportional to the vector between C and the center of R.
movementVector.translate(xTrans < 0 ? -movementFactor : movementFactor,
yTrans < 0 ? -movementFactor : movementFactor);
// Move R by v.
rect.setRect(rect.getX() + movementVector.getX(), rect.getY() + movementVector.getY(),
rect.getWidth(), rect.getHeight());
// Repeat until nothing overlaps.
hasIntersections = true;
}
}
}
this.repaint();
}
private Rectangle2D surroundingRect(List<Rectangle2D> rectangles) {
Point topLeft = null;
Point bottomRight = null;
for (Rectangle2D rect : rectangles) {
if (topLeft == null) {
topLeft = new Point((int) rect.getMinX(), (int) rect.getMinY());
} else {
if (rect.getMinX() < topLeft.getX()) {
topLeft.setLocation((int) rect.getMinX(), topLeft.getY());
}
if (rect.getMinY() < topLeft.getY()) {
topLeft.setLocation(topLeft.getX(), (int) rect.getMinY());
}
}
if (bottomRight == null) {
bottomRight = new Point((int) rect.getMaxX(), (int) rect.getMaxY());
} else {
if (rect.getMaxX() > bottomRight.getX()) {
bottomRight.setLocation((int) rect.getMaxX(), bottomRight.getY());
}
if (rect.getMaxY() > bottomRight.getY()) {
bottomRight.setLocation(bottomRight.getX(), (int) rect.getMaxY());
}
}
}
return new Rectangle2D.Double(topLeft.getX(), topLeft.getY(), bottomRight.getX() - topLeft.getX(),
bottomRight.getY() - topLeft.getY());
}
public void paintComponent(Graphics g) {
super.paintComponent(g);
Graphics2D g2d = (Graphics2D) g;
for (Rectangle2D entry : rectanglesToDraw) {
g2d.setStroke(new BasicStroke(1));
// g2d.fillRect((int) entry.getX(), (int) entry.getY(), (int) entry.getWidth(),
// (int) entry.getHeight());
g2d.draw(entry);
}
}
protected static void createAndShowGUI() {
Rectangles rects = new Rectangles();
rects.reset();
JFrame frame = new JFrame("Rectangles");
frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
frame.setLayout(new BorderLayout());
frame.add(rects, BorderLayout.CENTER);
JPanel buttonsPanel = new JPanel();
JButton fix = new JButton("Fix");
fix.addActionListener(new ActionListener() {
@Override
public void actionPerformed(ActionEvent e) {
rects.fix();
}
});
JButton resetButton = new JButton("Reset");
resetButton.addActionListener(new ActionListener() {
@Override
public void actionPerformed(ActionEvent e) {
rects.reset();
}
});
buttonsPanel.add(fix);
buttonsPanel.add(resetButton);
frame.add(buttonsPanel, BorderLayout.SOUTH);
frame.setSize(400, 400);
frame.setLocationRelativeTo(null);
frame.setVisible(true);
}
public static void main(String[] args) {
SwingUtilities.invokeLater(new Runnable() {
@Override
public void run() {
createAndShowGUI();
}
});
}
}