private int FindTile(int[] colors)
{
List <int> candidates = new List <int>();
for (int i = 0; i < this.tiles.Count; i++)
{
WangTile t = tiles[i];
bool match = true;
for (int j = 0; j < (int)WangTile.neighbour_e.NUM; j++)
{
if (colors[j] < 0)
{
continue;
}
if (t.edgeColors[j] != colors[j])
{
match = false;
break;
}
}
if (match)
{
candidates.Add(i);
}
}
if (candidates.Count == 0)
{
return(-1);
}
return(candidates[random.Next(candidates.Count)]);
}
private void ToImage(Image img, Size tileSize, List <Bitmap> tileImgs)
{
Graphics g = Graphics.FromImage(img);
int tilesW = img.Width / tileSize.Width;
int tilesH = img.Height / tileSize.Height;
WangTile lastTile = null;
int last = -1;
int[] lastRow = new int[tilesW];
int[] currentRow = new int[tilesW];
for (int i = 0; i < tilesW; i++)
{
lastRow[i] = -1;
currentRow[i] = -1;
}
for (int j = 0; j < tilesH; j++)
{
for (int i = 0; i < tilesW; i++)
{
int current;
List <int> availableTiles = null;
if (last == -1)
{
// no restrictions
current = random.Next(tiles.Count);
}
else
{
if (j == 0)
{
// only restriction is west edge, which has to match
// the east edge of the last tile placed
availableTiles = tilesSortedByWest[lastTile.edgeColors[(int)WangTile.neighbour_e.EAST]];
}
else
{
int east = (i == 0 ? random.Next(numColors) : lastTile.edgeColors[(int)WangTile.neighbour_e.EAST]);
int north = tiles[lastRow[i]].edgeColors[(int)WangTile.neighbour_e.SOUTH];
// restrict by west and north edges
availableTiles = tilesSortedByWestNorth[east, north];
}
current = availableTiles[random.Next(availableTiles.Count)];;
}
currentRow[i] = current;
g.DrawImage(tileImgs[current], new Point(i * tileSize.Width, j * tileSize.Height));
last = current;
lastTile = tiles[last];
}
for (int k = 0; k < tilesW; k++)
{
lastRow[k] = currentRow[k];
}
}
}
private void Subdivide(WangTile tile, int subdivisions, List<int>[] rules, out int[,] result)
{
result = new int[subdivisions, subdivisions];
// the rules determine, for each edge color on the source tile, a
// list of colors it is substituted with in the subdivided tile set
/*
*
* _a__b__c__d_ _______________
* -------cN-------- m|\ /\ /\ /\ /|i |\ /|\ /|\ /|\ /|
* |\ /| |/ \| |/_\|/_\|/_\|/_\|
* | \ / | n|\ /|j |\ /|\ /|\ /|\ /|
* | \ / | |/ \| |/_\|/_\|/_\|/_\|
* | \ / | o|\ /|k |\ /|\ /|\ /|\ /|
* cW X cE --> |/ \| --> |/_\|/_\|/_\|/_\|
* | / \ | p|\ /|l |\ /|\ /|\ /|\ /|
* | / \ | |/_\/_\/_\/_\| |/_\|/_\|/_\|/_\|
* | / \ | e f g h
* | / \|
* |/------cS--------
*
* cN --> a,b,c,d
* cS --> e,f,g,h
* cE --> i,j,k,l
* cW --> m,n,o,p
*
* Only corners have 2 restrictions (m-a, d-i, p-e, l-h), remaining
* edges have 1 restriction then we use the scanline algorithm to
* fill-in the gaps
*/
int[] restrictions = new int[(int)WangTile.neighbour_e.NUM];
int previous = -1;
int[] upperRow = new int[subdivisions];
for (int i = 0; i < subdivisions; i++)
{
for (int j = 0; j < subdivisions; j++)
{
restrictions[(int)WangTile.neighbour_e.NORTH] = -1;
restrictions[(int)WangTile.neighbour_e.SOUTH] = -1;
restrictions[(int)WangTile.neighbour_e.EAST] = -1;
restrictions[(int)WangTile.neighbour_e.WEST] = -1;
if (i == 0) restrictions[(int)WangTile.neighbour_e.NORTH] = rules[tile.edgeColors[(int)WangTile.neighbour_e.NORTH]][j];
if (i == subdivisions - 1 ) restrictions[(int)WangTile.neighbour_e.SOUTH] = rules[tile.edgeColors[(int)WangTile.neighbour_e.SOUTH]][j];
if (j == 0) restrictions[(int)WangTile.neighbour_e.WEST] = rules[tile.edgeColors[(int)WangTile.neighbour_e.WEST]][i];
if (j == subdivisions - 1 ) restrictions[(int)WangTile.neighbour_e.EAST] = rules[tile.edgeColors[(int)WangTile.neighbour_e.EAST]][i];
if (i > 0)
restrictions[(int)WangTile.neighbour_e.NORTH] = tiles[upperRow[j]].edgeColors[(int)WangTile.neighbour_e.SOUTH];
if (j > 0)
restrictions[(int)WangTile.neighbour_e.WEST] = tiles[upperRow[j]].edgeColors[(int)WangTile.neighbour_e.EAST];
result[i, j] = FindTile(restrictions);
previous = result[i, j];
}
for (int j = 0; j < subdivisions; j++) upperRow[j] = result[i, j];
}
}
public void Generate(int numColors, int samplesPerTile, int numThreads )
{
random = new Random();
this.numColors = numColors;
tiles = new List<WangTile>();
const int numEdges = 4;
int numTiles = (int)Math.Pow(numColors, numEdges);
#region generate Poisson distributions
List<PoissonSample>[] distributions = new List<PoissonSample>[numTiles];
generatePoissonDistParam_t[] threadParams = new generatePoissonDistParam_t[numThreads];
PoissonDistribution[] generators = new PoissonDistribution[numThreads];
AutoResetEvent[] waitHandles = new AutoResetEvent[numThreads];
for (int i = 0; i < numThreads; i++)
{
threadParams[i].dist = new PoissonDistribution();
threadParams[i].numSamples = samplesPerTile;
waitHandles[i] = new AutoResetEvent(false);
threadParams[i].autoResetEvent = waitHandles[i];
}
int t = 0;
Queue<int> availableThreads = new Queue<int>();
for (int i = 0; i < numThreads; i++) availableThreads.Enqueue(i);
if (OnConsoleMessage != null) OnConsoleMessage("Generating " + numTiles + " source Poisson Distributions with " + samplesPerTile + " samples each...");
Image debugImage = null;
if (OnDebugStep != null) debugImage = new Bitmap(800, 800);
while (t < numTiles || availableThreads.Count < numThreads)
{
while (availableThreads.Count > 0 && t < numTiles)
{
int i = availableThreads.Dequeue();
if (OnProgressReport != null) OnProgressReport((float)(t + 1) / numTiles);
distributions[t] = new List<PoissonSample>(samplesPerTile);
threadParams[i].result = distributions[t];
ThreadPool.QueueUserWorkItem(new WaitCallback(GeneratePoissonDistThreaded), threadParams[i]);
t++;
}
int index = WaitHandle.WaitAny(waitHandles);
if (debugImage != null)
{
PoissonDistribution.ToImage( threadParams[index].dist.Samples, Color.Black, debugImage, 1);
OnDebugStep(debugImage, "Poisson Distribution " + t);
}
availableThreads.Enqueue(index);
}
#endregion
#region generate seam tiles
List<SourceTile> seamTiles = new List<SourceTile>();
#if DEBUG
Color[] colors = new Color[numColors];
for( int i = 0; i < numColors; i++ ) colors[i] = Color.FromArgb(random.Next(256), random.Next(256), random.Next(256));
#endif
for (int i = 0; i < numColors; i++)
{
PoissonDistribution distribution = new PoissonDistribution();
distribution.Generate(samplesPerTile);
#if DEBUG
foreach (PoissonSample p in distribution.Samples) p.color = colors[i];
#endif
seamTiles.Add(new SourceTile(distribution.Samples, i));
}
#endregion
#region generate all edge permutations
/*
* 0000 0001 0002 ... 000n
* 0010 0011 0012 ... 001n
* 0020 0021 0022 ... 002n
* ...
* 00n0 00n1 00n2 ... 00nn
*
* 0100 0101 0102 ... 010n
* 0110 0111 0112 ... 011n
* ...
* 01n0 01n1 01n2 ... 01nn
*
* ...
*
* nnn0 nnn1 nnn2 ... nnnn
*/
int[,] edgeCol = new int[numTiles,numEdges];
for (int i = 0; i < numEdges; i++) edgeCol[0, i] = 0;
for (int i = 1; i < numTiles; i++)
{
for (int j = 0; j < numEdges; j++)
{
edgeCol[i,j] = (edgeCol[i-1,j] + (i % (int)Math.Pow(numColors, j) == 0 ? 1 : 0)) % numColors;
}
}
#endregion
#region generate wang tiles
WangTile[] tileArray = new WangTile[numTiles];
t = 0;
availableThreads.Clear();
createWangTileParam_t[] createWangTileParams = new createWangTileParam_t[numThreads];
for (int i = 0; i < numThreads; i++)
{
availableThreads.Enqueue(i);
createWangTileParams[i] = new createWangTileParam_t();
createWangTileParams[i].autoResetEvent = waitHandles[i];
createWangTileParams[i].autoResetEvent.Reset();
createWangTileParams[i].tileArray = tileArray;
}
if (OnConsoleMessage != null) OnConsoleMessage("Merging distributions to generate Wang Tiles..." );
while (t < numTiles || availableThreads.Count < numThreads)
{
while (availableThreads.Count > 0 && t < numTiles)
{
int i = availableThreads.Dequeue();
if (OnProgressReport != null) OnProgressReport((float)( t + 1 ) / numTiles);
createWangTileParams[i].tileBaseDistribution = distributions[t];
createWangTileParams[i].neighbours = new List<SourceTile>();
createWangTileParams[i].tileIndex = t;
if (numColors > 1)
{
for (int j = 0; j < numEdges; j++)
createWangTileParams[i].neighbours.Add(seamTiles[edgeCol[t, j]]);
}
ThreadPool.QueueUserWorkItem(new WaitCallback(CreateWangTileThreaded), createWangTileParams[i]);
t++;
}
int index = WaitHandle.WaitAny(waitHandles);
availableThreads.Enqueue(index);
}
tiles = tileArray.ToList();
SortTiles();
MakeRecursive();
if (OnDebugStep != null)
{
ToColorTiles(debugImage, new Size(8, 8));
OnDebugStep(debugImage, "Sample coverage of the generated Wang Tiles" );
}
#endregion
}
private void Subdivide(WangTile tile, int subdivisions, List <int>[] rules, out int[,] result)
{
result = new int[subdivisions, subdivisions];
// the rules determine, for each edge color on the source tile, a
// list of colors it is substituted with in the subdivided tile set
/*
*
* _a__b__c__d_ _______________
* -------cN-------- m|\ /\ /\ /\ /|i |\ /|\ /|\ /|\ /|
* |\ /| |/ \| |/_\|/_\|/_\|/_\|
* | \ / | n|\ /|j |\ /|\ /|\ /|\ /|
* | \ / | |/ \| |/_\|/_\|/_\|/_\|
* | \ / | o|\ /|k |\ /|\ /|\ /|\ /|
* cW X cE --> |/ \| --> |/_\|/_\|/_\|/_\|
* | / \ | p|\ /|l |\ /|\ /|\ /|\ /|
* | / \ | |/_\/_\/_\/_\| |/_\|/_\|/_\|/_\|
* | / \ | e f g h
* | / \|
* |/------cS--------
*
* cN --> a,b,c,d
* cS --> e,f,g,h
* cE --> i,j,k,l
* cW --> m,n,o,p
*
* Only corners have 2 restrictions (m-a, d-i, p-e, l-h), remaining
* edges have 1 restriction then we use the scanline algorithm to
* fill-in the gaps
*/
int[] restrictions = new int[(int)WangTile.neighbour_e.NUM];
int previous = -1;
int[] upperRow = new int[subdivisions];
for (int i = 0; i < subdivisions; i++)
{
for (int j = 0; j < subdivisions; j++)
{
restrictions[(int)WangTile.neighbour_e.NORTH] = -1;
restrictions[(int)WangTile.neighbour_e.SOUTH] = -1;
restrictions[(int)WangTile.neighbour_e.EAST] = -1;
restrictions[(int)WangTile.neighbour_e.WEST] = -1;
if (i == 0)
{
restrictions[(int)WangTile.neighbour_e.NORTH] = rules[tile.edgeColors[(int)WangTile.neighbour_e.NORTH]][j];
}
if (i == subdivisions - 1)
{
restrictions[(int)WangTile.neighbour_e.SOUTH] = rules[tile.edgeColors[(int)WangTile.neighbour_e.SOUTH]][j];
}
if (j == 0)
{
restrictions[(int)WangTile.neighbour_e.WEST] = rules[tile.edgeColors[(int)WangTile.neighbour_e.WEST]][i];
}
if (j == subdivisions - 1)
{
restrictions[(int)WangTile.neighbour_e.EAST] = rules[tile.edgeColors[(int)WangTile.neighbour_e.EAST]][i];
}
if (i > 0)
{
restrictions[(int)WangTile.neighbour_e.NORTH] = tiles[upperRow[j]].edgeColors[(int)WangTile.neighbour_e.SOUTH];
}
if (j > 0)
{
restrictions[(int)WangTile.neighbour_e.WEST] = tiles[upperRow[j]].edgeColors[(int)WangTile.neighbour_e.EAST];
}
result[i, j] = FindTile(restrictions);
previous = result[i, j];
}
for (int j = 0; j < subdivisions; j++)
{
upperRow[j] = result[i, j];
}
}
}
public void Generate(int numColors, int samplesPerTile, int numThreads)
{
random = new Random();
this.numColors = numColors;
tiles = new List <WangTile>();
const int numEdges = 4;
int numTiles = (int)Math.Pow(numColors, numEdges);
#region generate Poisson distributions
List <PoissonSample>[] distributions = new List <PoissonSample> [numTiles];
generatePoissonDistParam_t[] threadParams = new generatePoissonDistParam_t[numThreads];
PoissonDistribution[] generators = new PoissonDistribution[numThreads];
AutoResetEvent[] waitHandles = new AutoResetEvent[numThreads];
for (int i = 0; i < numThreads; i++)
{
threadParams[i].dist = new PoissonDistribution();
threadParams[i].numSamples = samplesPerTile;
waitHandles[i] = new AutoResetEvent(false);
threadParams[i].autoResetEvent = waitHandles[i];
}
int t = 0;
Queue <int> availableThreads = new Queue <int>();
for (int i = 0; i < numThreads; i++)
{
availableThreads.Enqueue(i);
}
if (OnConsoleMessage != null)
{
OnConsoleMessage("Generating " + numTiles + " source Poisson Distributions with " + samplesPerTile + " samples each...");
}
Image debugImage = null;
if (OnDebugStep != null)
{
debugImage = new Bitmap(800, 800);
}
while (t < numTiles || availableThreads.Count < numThreads)
{
while (availableThreads.Count > 0 && t < numTiles)
{
int i = availableThreads.Dequeue();
if (OnProgressReport != null)
{
OnProgressReport((float)(t + 1) / numTiles);
}
distributions[t] = new List <PoissonSample>(samplesPerTile);
threadParams[i].result = distributions[t];
ThreadPool.QueueUserWorkItem(new WaitCallback(GeneratePoissonDistThreaded), threadParams[i]);
t++;
}
int index = WaitHandle.WaitAny(waitHandles);
if (debugImage != null)
{
PoissonDistribution.ToImage(threadParams[index].dist.Samples, Color.Black, debugImage, 1);
OnDebugStep(debugImage, "Poisson Distribution " + t);
}
availableThreads.Enqueue(index);
}
#endregion
#region generate seam tiles
List <SourceTile> seamTiles = new List <SourceTile>();
#if DEBUG
Color[] colors = new Color[numColors];
for (int i = 0; i < numColors; i++)
{
colors[i] = Color.FromArgb(random.Next(256), random.Next(256), random.Next(256));
}
#endif
for (int i = 0; i < numColors; i++)
{
PoissonDistribution distribution = new PoissonDistribution();
distribution.Generate(samplesPerTile);
#if DEBUG
foreach (PoissonSample p in distribution.Samples)
{
p.color = colors[i];
}
#endif
seamTiles.Add(new SourceTile(distribution.Samples, i));
}
#endregion
#region generate all edge permutations
/*
* 0000 0001 0002 ... 000n
* 0010 0011 0012 ... 001n
* 0020 0021 0022 ... 002n
* ...
* 00n0 00n1 00n2 ... 00nn
*
* 0100 0101 0102 ... 010n
* 0110 0111 0112 ... 011n
* ...
* 01n0 01n1 01n2 ... 01nn
*
* ...
*
* nnn0 nnn1 nnn2 ... nnnn
*/
int[,] edgeCol = new int[numTiles, numEdges];
for (int i = 0; i < numEdges; i++)
{
edgeCol[0, i] = 0;
}
for (int i = 1; i < numTiles; i++)
{
for (int j = 0; j < numEdges; j++)
{
edgeCol[i, j] = (edgeCol[i - 1, j] + (i % (int)Math.Pow(numColors, j) == 0 ? 1 : 0)) % numColors;
}
}
#endregion
#region generate wang tiles
WangTile[] tileArray = new WangTile[numTiles];
t = 0;
availableThreads.Clear();
createWangTileParam_t[] createWangTileParams = new createWangTileParam_t[numThreads];
for (int i = 0; i < numThreads; i++)
{
availableThreads.Enqueue(i);
createWangTileParams[i] = new createWangTileParam_t();
createWangTileParams[i].autoResetEvent = waitHandles[i];
createWangTileParams[i].autoResetEvent.Reset();
createWangTileParams[i].tileArray = tileArray;
}
if (OnConsoleMessage != null)
{
OnConsoleMessage("Merging distributions to generate Wang Tiles...");
}
while (t < numTiles || availableThreads.Count < numThreads)
{
while (availableThreads.Count > 0 && t < numTiles)
{
int i = availableThreads.Dequeue();
if (OnProgressReport != null)
{
OnProgressReport((float)(t + 1) / numTiles);
}
createWangTileParams[i].tileBaseDistribution = distributions[t];
createWangTileParams[i].neighbours = new List <SourceTile>();
createWangTileParams[i].tileIndex = t;
if (numColors > 1)
{
for (int j = 0; j < numEdges; j++)
{
createWangTileParams[i].neighbours.Add(seamTiles[edgeCol[t, j]]);
}
}
ThreadPool.QueueUserWorkItem(new WaitCallback(CreateWangTileThreaded), createWangTileParams[i]);
t++;
}
int index = WaitHandle.WaitAny(waitHandles);
availableThreads.Enqueue(index);
}
tiles = tileArray.ToList();
SortTiles();
MakeRecursive();
if (OnDebugStep != null)
{
ToColorTiles(debugImage, new Size(8, 8));
OnDebugStep(debugImage, "Sample coverage of the generated Wang Tiles");
}
#endregion
}
