/// <summary>
/// Obtains the center point (x,y) of an hexagon given its LocationUv (u,v)
/// </summary>
/// <param name="location"></param>
/// <param name="hexagonDefinition"></param>
/// <returns></returns>
public static PointXY GetCenterPointXYOfHexagonLocationUV(HexagonLocationUV location,
HexagonDefinition hexagonDefinition)
{
var x = hexagonDefinition.NarrowWidth * location.U;
var y = hexagonDefinition.Height * (location.U * 0.5 + location.V);
return(new PointXY(x, y));
}
/// <summary>
/// </summary>
/// <param name="source"></param>
/// <param name="destination"></param>
/// <param name="hexagonDefinition"></param>
/// <returns></returns>
public static int GetDistanceBetweenHexagonLocationUVs(HexagonLocationUV source, HexagonLocationUV destination,
HexagonDefinition hexagonDefinition)
{
var du = destination.U - source.U;
var dv = destination.V - source.V;
return(du * dv > 0 ? Math.Abs(du + dv) : Math.Max(Math.Abs(du), Math.Abs(dv)));
}
/// <summary>
/// Determines if a specified point (x,y) is inside a given hexagon Location (u,v)
/// </summary>
/// <param name="point"></param>
/// <param name="location"></param>
/// <param name="hexagonDefinition"></param>
/// <returns>True if inside the hexagon, false otherwise</returns>
public static bool IsPointXYInsideHexagonLocationUV(PointXY point, HexagonLocationUV location,
HexagonDefinition hexagonDefinition)
{
var center = GetCenterPointXYOfHexagonLocationUV(location, hexagonDefinition);
var d = hexagonDefinition.Diameter;
var dx = Math.Abs(point.X - center.X) / d;
var dy = Math.Abs(point.Y - center.Y) / d;
var a = 0.25 * Math.Sqrt(3.0);
return(dy <= a && a * dx + 0.25 * dy <= 0.5 * a);
}
public static IList <PointXY> GetPointsXYOfHexagon(HexagonLocationUV location, HexagonDefinition hexagonDefinition)
{
var center = GetCenterPointXYOfHexagonLocationUV(location, hexagonDefinition);
return(new List <PointXY>
{
new PointXY(center.X - hexagonDefinition.Diameter / 2.0, center.Y),
new PointXY(center.X - hexagonDefinition.EdgeSize / 2.0, center.Y - hexagonDefinition.Height / 2.0),
new PointXY(center.X + hexagonDefinition.EdgeSize / 2.0, center.Y - hexagonDefinition.Height / 2.0),
new PointXY(center.X + hexagonDefinition.Diameter / 2.0, center.Y),
new PointXY(center.X + hexagonDefinition.EdgeSize / 2.0, center.Y + hexagonDefinition.Height / 2.0),
new PointXY(center.X - hexagonDefinition.EdgeSize / 2.0, center.Y + hexagonDefinition.Height / 2.0),
new PointXY(center.X - hexagonDefinition.Diameter / 2.0, center.Y)
});
}
private bool Equals(HexagonLocationUV other)
{
return(U == other.U && V == other.V);
}