Added helpers to back and forth axial to world

Assets/Scripts/MapData.cs

@@ -1,24 +1,25 @@
-using UnityEngine;
+using System;
+using UnityEngine;
 
 [CreateAssetMenu]
 public class MapData : ScriptableObject {
 	static readonly Vector2[] AxialDirections = {
+		new Vector2(0, 1),
 		new Vector2(1, 0),
 		new Vector2(1, -1),
 		new Vector2(0, -1),
 		new Vector2(-1, 0),
-		new Vector2(-1, 1),
-		new Vector2(0, 1)
+		new Vector2(-1, 1)
 	};
 
 	//With flat hexes
 	public enum Direction {
-		DownRight = 0,
+		Up = 0,
 		UpRight = 1,
-		Up = 2,
-		UpLeft = 3,
+		DownRight = 2,
+		Down = 3,
 		DownLeft = 4,
-		Down = 6
+		UpLeft = 5
 	}
 
 	/* With pointy hexes
@@ -31,9 +32,54 @@ public class MapData : ScriptableObject {
 		DownRight
 	}*/
 
-	/*public static Vector3 AxialToWorld(int q, int s) {
+	public float hexSize = 1f;
 
-	}*/
+	//TODO would be nice if I could store a Matrix2x2
+	public Vector3 AxialToWorld(Vector2 axial)
+		=> hexSize * new Vector3(
+			(3f / 2) * axial.x,
+			0,
+			(Mathf.Sqrt(3) / 2) * axial.x + Mathf.Sqrt(3) * axial.y
+		);
+
+	public Vector2 WorldToAxial(Vector2 position)
+		=> RoundAxial(new Vector2(
+			2f / 3 * position.x,
+			-1f / 3 * position.x + Mathf.Sqrt(3) / 3 * position.y
+		) / hexSize);
+
+	public Vector2 WorldToAxial(Vector3 position)
+		=> WorldToAxial(new Vector2(position.x, position.z));
+
+	public static Vector2 RoundAxial(Vector2 axial) {
+		Vector3 cube = AxialToCube(axial);
+		Vector3 nearestCube = new Vector3(
+			Mathf.Round(cube.x),
+			Mathf.Round(cube.y),
+			Mathf.Round(cube.z)
+		);
+
+		Vector3 diff = new Vector3(
+			Mathf.Abs(nearestCube.x - cube.x),
+			Mathf.Abs(nearestCube.y - cube.y),
+			Mathf.Abs(nearestCube.z - cube.z)
+		);
+
+		if (diff.x > diff.y && diff.x > diff.z)
+			nearestCube.x = -nearestCube.y - nearestCube.z;
+		else if (diff.y > diff.z)
+			nearestCube.y = -nearestCube.x - nearestCube.z;
+		else
+			nearestCube.z = -nearestCube.x - nearestCube.y;
+
+		return CubeToAxial(nearestCube);
+	}
+
+	public static Vector3 AxialToCube(Vector2 axial)
+		=> new Vector3(axial.x, -axial.x - axial.y, axial.y);
+
+	public static Vector2 CubeToAxial(Vector3 cube)
+		=> new Vector2(cube.x, cube.z);
 
 	public static Vector2 GetNeighbor(Vector2 axial, Direction direction)
 		=> axial + AxialDirections[(int) direction];