protected override void DrawCellBackground(Graphics graphics, Cell cell, Distances distances)
{
if ((graphics == null) || (cell == null))
{
return;
}
if (cell is OverCell)
{
base.DrawCellBackground(graphics, cell, distances);
return;
}
// undercell
var x1 = Convert.ToSingle(cell.Column * this.CellSize);
var y1 = Convert.ToSingle(cell.Row * this.CellSize);
var x2 = Convert.ToSingle(x1 + this.CellSize);
var y2 = Convert.ToSingle(y1 + this.CellSize);
var cellOffset = Convert.ToSingle(this.Inlet * this.CellSize);
var x3 = x1 + cellOffset;
var x4 = x2 - cellOffset;
var y3 = y1 + cellOffset;
var y4 = y2 - cellOffset;
Brush brush = this.GetCellBrush(distances, cell);
if ((cell as UnderCell).IsVerticalPassage())
{
graphics.FillRectangle(
brush,
x3,
y1,
Convert.ToSingle(this.CellSize - (2 * cellOffset)),
cellOffset);
graphics.FillRectangle(
brush,
x3,
y4,
Convert.ToSingle(this.CellSize - (2 * cellOffset)),
cellOffset);
}
else
{
graphics.FillRectangle(
brush,
x1,
y3,
cellOffset,
Convert.ToSingle(this.CellSize - (2 * cellOffset)));
graphics.FillRectangle(
brush,
x4,
y3,
cellOffset,
Convert.ToSingle(this.CellSize - (2 * cellOffset)));
}
}
public Distances PathTo(Cell goal)
{
var current = goal;
var breadcrumbs = new Distances(_root)
{
[current] = this[current]
};
while (current != _root)
{
foreach (var neighbour in current.Links())
{
if (this[neighbour] < this[current])
{
if (!breadcrumbs.ContainsKey(neighbour))
{
breadcrumbs.Add(neighbour, this[neighbour]);
}
else
{
breadcrumbs[neighbour] = this[neighbour];
}
current = neighbour;
break;
}
}
}
return(breadcrumbs);
}
public override Bitmap MakeImage(Distances distances)
{
if (this.Grid == null)
{
return(null);
}
Bitmap bmp = new Bitmap(
this.CalculateImageWidth(),
this.CalculateImageHeight());
this.FillBackground(bmp);
Graphics g = Graphics.FromImage(bmp);
foreach (Cell cell in this.Grid.GetCells())
{
if (cell != null)
{
this.DrawCellBackground(g, cell, distances);
}
}
foreach (Cell cell in this.Grid.GetCells())
{
if (cell != null)
{
this.DrawCellContour(g, cell);
}
}
return(bmp);
}
public Distances PathTo(Cell goal)
{
Cell current = goal;
Distances breadcrumbs = new Distances(root);
breadcrumbs[current] = this[current];
while (current != root)
{
foreach (var neighbor in current.Links())
{
if (this[neighbor] < this[current])
{
if (!breadcrumbs.ContainsKey(neighbor))
{
breadcrumbs.Add(neighbor, this[neighbor]);
}
else
{
breadcrumbs[neighbor] = this[neighbor];
}
current = neighbor;
break;
}
}
}
return(breadcrumbs);
}
public Distances Distances()
{
var distances = new Distances(this);
var frontier = new List <Cell> {
this
};
while (frontier.Any())
{
var newFrontier = new List <Cell>();
foreach (var cell in frontier)
{
foreach (var linked in cell.Links())
{
if (distances.ContainsKey(linked))
{
continue;
}
distances.Add(linked, distances[cell] + 1);
newFrontier.Add(linked);
}
}
frontier = newFrontier;
}
return(distances);
}
public static Distances PathTo(Cell start, Cell goal)
{
Cell current = goal;
Distances fullGrid = Build(start);
Distances breadcrumbs = new Distances(start);
breadcrumbs.Add(current, fullGrid.GetDistance(current));
do
{
foreach (Cell neighbour in current.Links)
{
if (fullGrid.GetDistance(neighbour) < fullGrid.GetDistance(current))
{
breadcrumbs.Add(neighbour, fullGrid.GetDistance(neighbour));
current = neighbour;
break;
}
}
}while (current != start);
return(breadcrumbs);
}
private static void Test(IMazeBuilder builder, int rows, int columns, int samples)
{
if (builder == null)
{
return;
}
Console.WriteLine("{0}x{1}: {2}", rows, columns, builder);
int sumPathLength = 0;
int sumDeadEnds = 0;
for (int i = 0; i < samples; i++)
{
var grid = Grid.CreateGrid(rows, columns);
builder.Build(grid);
Distances longestPath = Distances.LongestPath(grid);
sumPathLength += longestPath.MaxDistance().Value;
Distances deadEnds = Distances.DeadEnds(grid);
sumDeadEnds += deadEnds.Count();
}
Console.WriteLine("Longest Path: {0}", (double)sumPathLength / samples);
Console.WriteLine("Nr Dead Ends: {0}", (double)sumDeadEnds / samples);
}
public static Distances Build(Cell start)
{
Distances fullGrid = new Distances(start);
fullGrid.BuildDistances();
return(fullGrid);
}
public override string ContentsOf(Cell cell)
{
if (Distances != null && Distances.ContainsKey(cell))
{
return(Base36.Encode(Distances[cell]));
}
return(" ");
}
private void DrawCellBackGround(Graphics g, Cell cell, Distances distances)
{
var points = this.GetPoints(cell);
Brush brush = this.GetCellBrush(distances, cell);
g.FillPolygon(brush, points);
Pen pen = this.GetCellPen(distances, cell);
g.DrawPolygon(pen, points);
}
public static Distances LongestPath(Grid grid)
{
if (grid == null)
{
return(null);
}
Distances distance = Build(grid.RandomCell());
Distances distanceBack = Build(distance.MaxDistance().Key);
return(PathTo(distance.MaxDistance().Key, distanceBack.MaxDistance().Key));
}
static void ColoredGrid(int size)
{
Stopwatch stopwatch = new Stopwatch();
Random random = new Random();
int seed = random.Next(int.MinValue, int.MaxValue);
ColoredGrid grid = new ColoredGrid(size, size, seed)
{
color = Color.Coral,
IsIntensityOff = true
};
algorithm = (Algorithm)random.Next(Enum.GetNames(typeof(Algorithm)).Length);
stopwatch.Start();
ColoredGrid maze = (ColoredGrid)RandomAlgorithm <Grid, Cell>(grid, algorithm);
Cell start = maze.GetCell(0, 0);
//longest path in maze
Distances distances = start.Distances();
var newStart = distances.Maximum();
var newDistances = newStart.Key.Distances();
maze.Start = newStart.Key;
var goal = newDistances.Maximum();
maze.End = goal.Key;
maze.distances = newDistances.PathTo(goal.Key);
Bitmap img = maze.ToPNG(50);
string name = "Maze.png";
img.Save(name);
Process process = new Process();
process.StartInfo.FileName = name;
process.Start();
process.Close();
stopwatch.Stop();
Console.WriteLine(algorithm);
Console.WriteLine(stopwatch.ElapsedMilliseconds / (float)1000 + " seconds");
}
private static void BuildPolar()
{
Console.WriteLine("Polar");
var grid = PolarGrid.CreatePolarGrid(40);
var mazeBuilder = new RecursiveBacktracker();
mazeBuilder.Build(grid);
var distances = Distances.Build(grid.GetCell(0, 0));
var gd = GridDisplayFactory.GetDisplayForGrid(grid);
var bitmap = gd.MakeImage(distances);
bitmap.Save("Polar.png", ImageFormat.Png);
Console.WriteLine("Done");
}
protected virtual void DrawCellBackground(Graphics graphics, Cell cell, Distances distances)
{
if ((graphics == null) || (cell == null))
{
return;
}
double x1 = cell.Column * this.CellSize;
double y1 = cell.Row * this.CellSize;
Brush brush = this.GetCellBrush(distances, cell);
graphics.FillRectangle(
brush,
Convert.ToSingle(x1),
Convert.ToSingle(y1),
Convert.ToSingle(this.CellSize),
Convert.ToSingle(this.CellSize));
}
public static string ToText(Grid grid, Distances distances)
{
if (grid == null)
{
return(string.Empty);
}
string output = "+";
for (int i = 0; i < grid.Columns; i++)
{
output += "---+";
}
output += "\n";
for (int r = 0; r < grid.Rows; r++)
{
string top = "|";
string bottom = "+";
for (int i = 0; i < grid.Columns; i++)
{
Cell cell = grid.GetCell(r, i);
if (cell == null)
{
cell = new Cell(-1, -1);
}
string cellContent = " ";
if ((distances != null) && distances.KnowsCell(cell))
{
cellContent = " " + (char)(distances.GetDistance(cell) + 65) + " ";
}
top += cellContent + (cell.IsLinked(cell.East) ? " " : "|");
bottom += (cell.IsLinked(cell.South) ? " " : "---") + "+";
}
output += top + "\n" + bottom + "\n";
}
return(output);
}
public override Bitmap MakeImage(Distances distances)
{
if (this.Grid == null)
{
return(null);
}
Bitmap bmp = new Bitmap(
this.CalculateImageWidth(),
this.CalculateImageHeight());
this.FillBackground(bmp);
Graphics g = Graphics.FromImage(bmp);
g.SmoothingMode = SmoothingMode.HighQuality;
foreach (Cell cell in this.Grid.GetCells())
{
if (cell != null)
{
this.DrawCellBackGround(g, cell, distances);
}
}
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
if ((cell.Row + cell.Column) % 2 == 0)
{
this.DrawBigCellContour(g, cell);
}
else
{
this.DrawSmallCellContour(g, cell);
}
}
return(bmp);
}
protected Color GetCellColor(Distances distances, Cell cell)
{
if ((this.GridStepInfo != null) && (this.GridStepInfo.CurrentCell != null))
{
if (cell == this.GridStepInfo.CurrentCell)
{
return(this.StepCurrentCellColor);
}
if (this.GridStepInfo.Path.Contains(cell))
{
return(this.StepPathColor);
}
if (this.GridStepInfo.CurrentCell.IsLinked(cell))
{
return(this.StepCurrentCellNeighborColor);
}
}
if (distances == null)
{
return(Color.FromArgb(255, 208, 208, 208));
}
if (!distances.KnowsCell(cell))
{
return(Color.FromArgb(255, 208, 208, 208));
}
int dist = distances.GetDistance(cell);
int maxdist = distances.MaxDistance().Value;
double intensity = 1.0 * (maxdist - dist) / maxdist;
byte r = (byte)((this.DistanceFromColor.R * intensity) +
(this.DistanceToColor.R * (1 - intensity)));
byte g = (byte)((this.DistanceFromColor.G * intensity) +
(this.DistanceToColor.G * (1 - intensity)));
byte b = (byte)((this.DistanceFromColor.B * intensity) +
(this.DistanceToColor.B * (1 - intensity)));
return(Color.FromArgb(255, r, g, b));
}
public static Distances DeadEnds(Grid grid)
{
if (grid == null)
{
return(null);
}
Distances distance = new Distances(null);
foreach (Cell cell in grid.GetCells())
{
if (cell == null)
{
continue;
}
if (cell.Links.Count == 1)
{
distance.Add(cell, 1);
}
}
return(distance);
}
protected Pen GetCellPen(Distances distances, Cell cell)
{
return(new Pen(this.GetCellColor(distances, cell)));
}
protected override void DrawCellBackground(Graphics graphics, Cell cell, Distances distances)
{
if ((graphics == null) || (cell == null))
{
return;
}
var x1 = Convert.ToSingle(cell.Column * this.CellSize);
var y1 = Convert.ToSingle(cell.Row * this.CellSize);
var x2 = Convert.ToSingle(x1 + this.CellSize);
var y2 = Convert.ToSingle(y1 + this.CellSize);
var cellOffset = Convert.ToSingle(this.Inlet * this.CellSize);
var x3 = x1 + cellOffset;
var x4 = x2 - cellOffset;
var y3 = y1 + cellOffset;
var y4 = y2 - cellOffset;
Brush brush = this.GetCellBrush(distances, cell);
graphics.FillRectangle(
brush,
x3,
y3,
Convert.ToSingle(this.CellSize - (2 * cellOffset)),
Convert.ToSingle(this.CellSize - (2 * cellOffset)));
if (cell.IsLinked(cell.North))
{
graphics.FillRectangle(
brush,
x3,
y1,
Convert.ToSingle(this.CellSize - (2 * cellOffset)),
cellOffset);
}
if (cell.IsLinked(cell.South))
{
graphics.FillRectangle(
brush,
x3,
y4,
Convert.ToSingle(this.CellSize - (2 * cellOffset)),
cellOffset);
}
if (cell.IsLinked(cell.West))
{
graphics.FillRectangle(
brush,
x1,
y3,
cellOffset,
Convert.ToSingle(this.CellSize - (2 * cellOffset)));
}
if (cell.IsLinked(cell.East))
{
graphics.FillRectangle(
brush,
x4,
y3,
cellOffset,
Convert.ToSingle(this.CellSize - (2 * cellOffset)));
}
}
public override Bitmap MakeImage(Distances distances)
{
if (this.Grid == null)
{
return(null);
}
Bitmap bmp = new Bitmap(
this.CalculateImageWidth(),
this.CalculateImageHeight());
this.FillBackground(bmp);
Graphics g = Graphics.FromImage(bmp);
g.SmoothingMode = SmoothingMode.HighQuality;
var center = this.CalculateImageWidth() / 2.0;
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
Brush brush = this.GetCellBrush(distances, cell);
if (cell.Row == 0)
{
g.FillEllipse(
brush,
Convert.ToSingle(center - this.CellSize),
Convert.ToSingle(center - this.CellSize),
Convert.ToSingle(2 * this.CellSize),
Convert.ToSingle(2 * this.CellSize));
continue;
}
var theta = 2 * Math.PI / this.Grid.ColumnSize(cell.Row);
var innerRadius = cell.Row * this.CellSize;
var outerRadius = innerRadius + this.CellSize;
var thetaCounterClockWise = cell.Column * theta;
var thetaClockWise = thetaCounterClockWise + theta;
var ax = Convert.ToSingle(center + innerRadius * Math.Cos(thetaCounterClockWise));
var ay = Convert.ToSingle(center + innerRadius * Math.Sin(thetaCounterClockWise));
var bx = Convert.ToSingle(center + outerRadius * Math.Cos(thetaCounterClockWise));
var by = Convert.ToSingle(center + outerRadius * Math.Sin(thetaCounterClockWise));
var cx = Convert.ToSingle(center + innerRadius * Math.Cos(thetaClockWise));
var cy = Convert.ToSingle(center + innerRadius * Math.Sin(thetaClockWise));
var dx = Convert.ToSingle(center + outerRadius * Math.Cos(thetaClockWise));
var dy = Convert.ToSingle(center + outerRadius * Math.Sin(thetaClockWise));
var path = new GraphicsPath();
path.StartFigure(); // Start the first figure.
path.AddArc(
Convert.ToSingle(center - innerRadius),
Convert.ToSingle(center - innerRadius),
Convert.ToSingle(2 * innerRadius),
Convert.ToSingle(2 * innerRadius),
Convert.ToSingle(thetaCounterClockWise * 180 / Math.PI),
Convert.ToSingle(theta * 180 / Math.PI));
path.AddLine(cx, cy, dx, dy);
path.AddArc(
Convert.ToSingle(center - outerRadius),
Convert.ToSingle(center - outerRadius),
Convert.ToSingle(2 * outerRadius),
Convert.ToSingle(2 * outerRadius),
Convert.ToSingle(thetaClockWise * 180 / Math.PI),
-Convert.ToSingle(theta * 180 / Math.PI));
path.AddLine(bx, by, ax, ay);
path.CloseFigure();
g.FillPath(brush, path);
Pen pen = this.GetCellPen(distances, cell);
g.DrawPath(pen, path);
}
Pen wallPen = new Pen(this.WallColor);
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
if (cell.Row == 0)
{
continue;
}
var theta = 2 * Math.PI / this.Grid.ColumnSize(cell.Row);
var innerRadius = cell.Row * this.CellSize;
var outerRadius = innerRadius + this.CellSize;
var thetaCounterClockWise = cell.Column * theta;
var thetaClockWise = thetaCounterClockWise + theta;
var cx = Convert.ToSingle(center + innerRadius * Math.Cos(thetaClockWise));
var cy = Convert.ToSingle(center + innerRadius * Math.Sin(thetaClockWise));
var dx = Convert.ToSingle(center + outerRadius * Math.Cos(thetaClockWise));
var dy = Convert.ToSingle(center + outerRadius * Math.Sin(thetaClockWise));
if (!cell.IsLinked((cell as PolarCell).Inward))
{
g.DrawArc(
wallPen,
Convert.ToSingle(center - innerRadius),
Convert.ToSingle(center - innerRadius),
Convert.ToSingle(2 * innerRadius),
Convert.ToSingle(2 * innerRadius),
Convert.ToSingle(thetaCounterClockWise * 180 / Math.PI),
Convert.ToSingle(theta * 180 / Math.PI));
}
if (!cell.IsLinked((cell as PolarCell).Clockwise))
{
g.DrawLine(wallPen, cx, cy, dx, dy);
}
}
g.DrawArc(wallPen, 1, 1, this.CalculateImageWidth() - 1, this.CalculateImageWidth() - 1, 0, 360);
return(bmp);
}
public override Bitmap MakeImage(Distances distances)
{
if (this.Grid == null)
{
return(null);
}
var height = 0.5 * this.CellSize * Math.Sqrt(3.0);
var width = this.CellSize;
Bitmap bmp = new Bitmap(
this.CalculateImageWidth(),
this.CalculateImageHeight());
this.FillBackground(bmp);
Graphics g = Graphics.FromImage(bmp);
g.SmoothingMode = SmoothingMode.HighQuality;
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
var cx = 0.5 * width * (cell.Column + 1);
var cy = 0.5 * height + cell.Row * height;
var westX = cx - 0.5 * width;
var midX = cx;
var eastX = cx + 0.5 * width;
var apexY = cy + 0.5 * height;
var baseY = cy - 0.5 * height;
if ((cell as TriangleCell).Upright())
{
apexY = cy - 0.5 * height;
baseY = cy + 0.5 * height;
}
Brush brush = this.GetCellBrush(distances, cell);
PointF[] points = new PointF[]
{
new PointF {
X = Convert.ToSingle(westX), Y = Convert.ToSingle(baseY)
},
new PointF {
X = Convert.ToSingle(midX), Y = Convert.ToSingle(apexY)
},
new PointF {
X = Convert.ToSingle(eastX), Y = Convert.ToSingle(baseY)
}
};
g.FillPolygon(brush, points);
Pen pen = this.GetCellPen(distances, cell);
g.DrawPolygon(pen, points);
}
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
var cx = 0.5 * width * (cell.Column + 1);
var cy = 0.5 * height + cell.Row * height;
var westX = cx - 0.5 * width;
var midX = cx;
var eastX = cx + 0.5 * width;
var apexY = cy + 0.5 * height;
var baseY = cy - 0.5 * height;
if ((cell as TriangleCell).Upright())
{
apexY = cy - 0.5 * height;
baseY = cy + 0.5 * height;
}
Pen wallPen = new Pen(this.WallColor);
if (cell.West == null)
{
g.DrawLine(
wallPen,
Convert.ToSingle(westX),
Convert.ToSingle(baseY),
Convert.ToSingle(midX),
Convert.ToSingle(apexY));
}
if (!cell.IsLinked(cell.East))
{
g.DrawLine(
wallPen,
Convert.ToSingle(eastX),
Convert.ToSingle(baseY),
Convert.ToSingle(midX),
Convert.ToSingle(apexY));
}
var noSouth = (cell as TriangleCell).Upright() && (cell.South == null);
var notLinked = !(cell as TriangleCell).Upright() && !cell.IsLinked(cell.North);
if (noSouth || notLinked)
{
g.DrawLine(
wallPen,
Convert.ToSingle(eastX),
Convert.ToSingle(baseY),
Convert.ToSingle(westX),
Convert.ToSingle(baseY));
}
}
return(bmp);
}
protected Brush GetCellBrush(Distances distances, Cell cell)
{
return(new SolidBrush(this.GetCellColor(distances, cell)));
}
public override Bitmap MakeImage(Distances distances)
{
if (this.Grid == null)
{
return(null);
}
double aSize = this.CellSize / 2.0;
double bSize = this.CellSize * Math.Sqrt(3) / 2.0;
Bitmap bmp = new Bitmap(
this.CalculateImageWidth(),
this.CalculateImageHeight());
this.FillBackground(bmp);
Graphics g = Graphics.FromImage(bmp);
g.SmoothingMode = SmoothingMode.HighQuality;
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
var cx = this.CellSize + 3 * aSize * cell.Column;
var cy = bSize + 2 * bSize * cell.Row;
if (cell.Column % 2 != 0)
{
cy += bSize;
}
var x_fw = Convert.ToInt32(cx - this.CellSize);
var x_nw = Convert.ToInt32(cx - aSize);
var x_ne = Convert.ToInt32(cx + aSize);
var x_fe = Convert.ToInt32(cx + this.CellSize);
var y_n = Convert.ToInt32(cy - bSize);
var y_m = Convert.ToInt32(cy);
var y_s = Convert.ToInt32(cy + bSize);
Brush brush = this.GetCellBrush(distances, cell);
Point[] points = new Point[]
{
new Point {
X = x_fw, Y = y_m
},
new Point {
X = x_nw, Y = y_n
},
new Point {
X = x_ne, Y = y_n
},
new Point {
X = x_fe, Y = y_m
},
new Point {
X = x_ne, Y = y_s
},
new Point {
X = x_nw, Y = y_s
},
};
g.FillPolygon(brush, points);
Pen pen = this.GetCellPen(distances, cell);
g.DrawPolygon(pen, points);
}
foreach (Cell cell in this.Grid.GetCells())
{
if (cell == null)
{
continue;
}
var cx = this.CellSize + 3 * aSize * cell.Column;
var cy = bSize + 2 * bSize * cell.Row;
if (cell.Column % 2 != 0)
{
cy += bSize;
}
var x_fw = Convert.ToInt32(cx - this.CellSize);
var x_nw = Convert.ToInt32(cx - aSize);
var x_ne = Convert.ToInt32(cx + aSize);
var x_fe = Convert.ToInt32(cx + this.CellSize);
var y_n = Convert.ToInt32(cy - bSize);
var y_m = Convert.ToInt32(cy);
var y_s = Convert.ToInt32(cy + bSize);
var hexCell = cell as HexCell;
Pen wallPen = new Pen(this.WallColor);
if (hexCell.Southwest == null)
{
g.DrawLine(wallPen, x_fw, y_m, x_nw, y_s);
}
if (hexCell.Northwest == null)
{
g.DrawLine(wallPen, x_fw, y_m, x_nw, y_n);
}
if (hexCell.North == null)
{
g.DrawLine(wallPen, x_nw, y_n, x_ne, y_n);
}
if (!hexCell.IsLinked(hexCell.Northeast))
{
g.DrawLine(wallPen, x_ne, y_n, x_fe, y_m);
}
if (!hexCell.IsLinked(hexCell.Southeast))
{
g.DrawLine(wallPen, x_fe, y_m, x_ne, y_s);
}
if (!hexCell.IsLinked(hexCell.South))
{
g.DrawLine(wallPen, x_ne, y_s, x_nw, y_s);
}
}
return(bmp);
}
public virtual Bitmap MakeImage(Distances distances)
{
return(null);
}