public void setTile(HexagonalCoordinate coord, Tile?tile)
{
if (!isOnBoard(coord))
{
throw new ArithmeticException();
}
boardState[getIndex(coord)] = tile;
}
public Tile?getTile(HexagonalCoordinate coord)
{
if (!isOnBoard(coord))
{
throw new ArithmeticException();
}
return(boardState[getIndex(coord)]);
}
private static Board?getNextValidState(Tile tile, HexagonalCoordinate coord, Board currentState)
{
Board nextState = new Board(currentState);
nextState.setTile(coord, tile);
if (evaluateNeighboringCoordinates(nextState, coord))
{
return(nextState);
}
else
{
return(null);
}
}
public static bool evaluateNeighboringCoordinates(Board board, HexagonalCoordinate coord)
{
if (!evaluateCoordinate(board, coord))
{
return(false);
}
foreach (var neighboringCoord in coord.getNeighbors())
{
if (Board.isOnBoard(neighboringCoord))
{
if (!evaluateCoordinate(board, neighboringCoord))
{
return(false);
}
}
}
return(true);
}
/**
* Returns true if the coordinate meets all constraints.
*/
public static bool evaluateCoordinate(Board board, HexagonalCoordinate coord)
{
Tile?current = board.getTile(coord);
if (current == null)
{
return(true);
}
else if (current == Tile.DESERT)
{
return(true);
}
else if (board.isOkay(coord))
{
return(true);
}
foreach (HexagonalCoordinate neighborCoord in coord.getNeighbors())
{
if (Board.isOnBoard(neighborCoord))
{
Tile?tile = board.getTile(neighborCoord);
if (tile == null)
{
return(true);
}
else if (tile == current)
{
board.markOkay(neighborCoord);
return(true);
}
}
}
return(false);
}
/**
* Returns the index that the hexagonal coordinate corresponds to.
*/
public static int getIndex(HexagonalCoordinate coordinate)
{
/*
* PURPOSE:
* This algorithim maps a hexagonal coordinate to a corresponding index.
*
* OVERVIEW:
* The array is split into sections representing each of the rings. Each of the rings is mapped onto the array "clockwise" from a given axis.
* It doesn't really matter which direction you go around in, or what axis is your starting point.
* I am using +z as the starting point.
*
* ALGORITHIM:
*
* -- Determining what ring the tile is on
* This is pretty simple. Take absolute value of each of the three axises. The greatest of the three is the ring number.
* For example, (1, 1, -2) is on ring 2.
*
* -- Distance to center axis
*
* ----Overview
* We will approach this by dividing the problem into two parts.
* First, we will determine the distance from the tile to the nearest axis.
* Last, we will determine the distance from the nearest axis to the center axis.
*
* ----Note on axis names
* In order to distinguish between the axes, I have given them some names.
+z - (z = 0) and x > 0
* -z - (z = 0) and x < 0
+y - (y = 0) and x > 0
* -y - (y = 0) and x < 0
+x - (x = 0) and y > 0
* -x - (x = 0) and y < 0
*
* ----Distance to nearest axis
* The axises of the board split the board much like a pizza. What is left after removing is a slice.
* We can determine which slice we are in by comparing the numbers in the coordinates. Specifically, we can look at the placement and sign of the ring number.
* The following were determined by experimentation and observation, but I don't have any reason to doubt that they are accurate.
* - If RN in X, and RN is + => Next axis is (+z), and distance to axis is abs(z).
* - If RN in X, and RN is - => Next axis is (-z), and distance to axis is abs(z).
* - If RN in Y, and RN is + => Next axis is (+x), and distance to axis is abs(x).
* - If RN in Y, and RN is - => Next axis is (-x), and distance to axis is abs(x).
* - If RN in Z, and RN is + => Next axis is (+y), and distance to axis is abs(y).
* - If RN in Z, and RN is - => Next axis is (-y), and distance to axis is abs(y).
* (Of course, one should first check that you aren't on an axis. If you are, then the distance to the next axis is 0 (duh))
*
* ----Distance from nearest axis to center axis
* The first thing to realize is that the distance between the axises is equal to (RingNumber-1).
* Next, we should establish how many axises are between the current axis and the center axis. I call this "axial distance"
* - +x is 2 away
* - -x is 5 away
* - +y is 1 away
* - -y is 4 away
* - +z is 0 away
* - -z is 3 away
* The distance from the nearest axis to the center axis is therefore AxialDistance*RingNumber
*/
if (coordinate.isOrigin())
{
return(0);
}
int x = coordinate.x;
int y = coordinate.y;
int z = coordinate.z;
int ringNumber = Math.Max(Math.Abs(x), Math.Max(Math.Abs(y), Math.Abs(z))); //Get the max of x, y, and z
int ringOffset = tilesInBoard(ringNumber - 1);
int axialDistance;
int tilesToNextAxis;
if (y == ringNumber && z == -1 * ringNumber)
{
//On the +x axis
axialDistance = 2;
tilesToNextAxis = 0;
}
else if (z == ringNumber && y == -1 * ringNumber)
{
//On the -x axis
axialDistance = 5;
tilesToNextAxis = 0;
}
else if (x == ringNumber && z == -1 * ringNumber)
{
//On the +y axis
axialDistance = 1;
tilesToNextAxis = 0;
}
else if (z == ringNumber && x == -1 * ringNumber)
{
//On the -y axis
axialDistance = 4;
tilesToNextAxis = 0;
}
else if (x == ringNumber && y == -1 * ringNumber)
{
//On the +z axis
axialDistance = 0;
tilesToNextAxis = 0;
}
else if (x == -1 * ringNumber && y == ringNumber)
{
//On the -z axis
axialDistance = 3;
tilesToNextAxis = 0;
}
else if (x == ringNumber)
{
//Next axis is +Z
axialDistance = 0;
tilesToNextAxis = Math.Abs(z);
}
else if (x == -1 * ringNumber)
{
//Next axis is -Z
axialDistance = 3;
tilesToNextAxis = Math.Abs(z);
}
else if (y == ringNumber)
{
//Next axis is +X
axialDistance = 2;
tilesToNextAxis = Math.Abs(x);
}
else if (y == -1 * ringNumber)
{
//Next axis is -X
axialDistance = 5;
tilesToNextAxis = Math.Abs(x);
}
else if (z == ringNumber)
{
//Next axis is +Y
axialDistance = 4;
tilesToNextAxis = Math.Abs(y);
}
else
{
//Next axis is -Y
axialDistance = 1;
tilesToNextAxis = Math.Abs(y);
}
int result = ringOffset + tilesToNextAxis + (axialDistance * ringNumber);
return(result);
}
/**
* Returns true if the given coordinates exist on the board.
*/
public static bool isOnBoard(HexagonalCoordinate coordinate)
{
return(Math.Abs(coordinate.x) <= SIZE && Math.Abs(coordinate.y) <= SIZE && Math.Abs(coordinate.z) <= SIZE);
}
public bool isOkay(HexagonalCoordinate coord)
{
return(isTileOkay[getIndex(coord)]);
}
public void markOkay(HexagonalCoordinate coord)
{
isTileOkay[getIndex(coord)] = true;
}
public static List <Board> getBiomeConfigurationsRecursive(Stack <HexagonalCoordinate> coordinates, TileCounts tileCounts, Board currentState)
{
if (coordinates.Count == 0)
{
return(new List <Board> {
currentState
});
}
List <Board> toReturn = new List <Board>();
HexagonalCoordinate nextCoordinate = coordinates.Pop();
if (tileCounts.clay > 0)
{
Board?nextState = getNextValidState(Tile.CLAY, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeClay(), nextState));
}
}
if (tileCounts.wood > 0)
{
Board?nextState = getNextValidState(Tile.WOOD, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeWood(), nextState));
}
}
if (tileCounts.wheat > 0)
{
Board?nextState = getNextValidState(Tile.WHEAT, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeWheat(), nextState));
}
}
if (tileCounts.sheep > 0)
{
Board?nextState = getNextValidState(Tile.SHEEP, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeSheep(), nextState));
}
}
if (tileCounts.stone > 0)
{
Board?nextState = getNextValidState(Tile.STONE, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeStone(), nextState));
}
}
if (tileCounts.desert > 0)
{
Board?nextState = getNextValidState(Tile.DESERT, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(new Stack <HexagonalCoordinate>(coordinates), tileCounts.removeDesert(), nextState));
}
}
return(toReturn);
}
public static List <Board> getBiomeConfigurationsRecursive(int currentIndex, int maxIndex, TileCounts tileCounts, Board currentState)
{
if (currentIndex == maxIndex)
{
return(new List <Board> {
currentState
});
}
List <Board> toReturn = new List <Board>();
HexagonalCoordinate nextCoordinate = Board.indexToCoordinate(currentIndex);
if (tileCounts.clay > 0)
{
Board?nextState = getNextValidState(Tile.CLAY, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeClay(), nextState));
}
}
if (tileCounts.wood > 0)
{
Board?nextState = getNextValidState(Tile.WOOD, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeWood(), nextState));
}
}
if (tileCounts.wheat > 0)
{
Board?nextState = getNextValidState(Tile.WHEAT, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeWheat(), nextState));
}
}
if (tileCounts.sheep > 0)
{
Board?nextState = getNextValidState(Tile.SHEEP, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeSheep(), nextState));
}
}
if (tileCounts.stone > 0)
{
Board?nextState = getNextValidState(Tile.STONE, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeStone(), nextState));
}
}
if (tileCounts.desert > 0)
{
Board?nextState = getNextValidState(Tile.DESERT, nextCoordinate, currentState);
if (nextState != null)
{
toReturn.AddRange(getBiomeConfigurationsRecursive(currentIndex + 1, maxIndex, tileCounts.removeDesert(), nextState));
}
}
return(toReturn);
}