Add new "World Coordinate" types.

These types provide fixed-point representations of distances, angles,
positions, vectors, and rotations in 3d space.

WAngle (and WRot) represents 360 degrees in 1024 units.
WRange (and WPos, WVec) represents 1 cell in 1024 units.

Distance types in yaml can be written as <cell>c<subcell>, e.g. "4c512" for 4.5 cells.

OpenRA.FileFormats/WVec.cs

@@ -0,0 +1,64 @@
+#region Copyright & License Information
+/*
+ * Copyright 2007-2013 The OpenRA Developers (see AUTHORS)
+ * This file is part of OpenRA, which is free software. It is made
+ * available to you under the terms of the GNU General Public License
+ * as published by the Free Software Foundation. For more information,
+ * see COPYING.
+ */
+#endregion
+
+using System;
+using System.Drawing;
+
+namespace OpenRA
+{
+	/// <summary>
+	/// 3d World vector for describing offsets and distances - 1024 units = 1 cell.
+	/// </summary>
+	public struct WVec
+	{
+		public readonly int X, Y, Z;
+
+		public WVec(int x, int y, int z) { X = x; Y = y; Z = z; }
+		public WVec(WRange x, WRange y, WRange z) { X = x.Range; Y = y.Range; Z = z.Range; }
+
+		public static readonly WVec Zero = new WVec(0, 0, 0);
+
+		public static WVec operator +(WVec a, WVec b) { return new WVec(a.X + b.X, a.Y + b.Y, a.Z + b.Z); }
+		public static WVec operator -(WVec a, WVec b) { return new WVec(a.X - b.X, a.Y - b.Y, a.Y - b.Y); }
+		public static WVec operator -(WVec a) { return new WVec(-a.X, -a.Y, -a.Z); }
+
+		public static bool operator ==(WVec me, WVec other) { return (me.X == other.X && me.Y == other.Y && me.Z == other.Z); }
+		public static bool operator !=(WVec me, WVec other) { return !(me == other); }
+
+		public static int Dot(WVec a, WVec b) { return a.X * b.X + a.Y * b.Y + a.Z * b.Z; }
+		public int LengthSquared { get { return X * X + Y * Y + Z * Z; } }
+		public int Length { get { return (int)Math.Sqrt(LengthSquared); } }
+
+		public WVec Rotate(WRot rot)
+		{
+			var mtx = rot.AsMatrix();
+			var lx = (long)X;
+			var ly = (long)Y;
+			var lz = (long)Z;
+			return new WVec(
+				(int)((lx * mtx[0] + ly*mtx[4] + lz*mtx[8]) / mtx[15]),
+				(int)((lx * mtx[1] + ly*mtx[5] + lz*mtx[9]) / mtx[15]),
+				(int)((lx * mtx[2] + ly*mtx[6] + lz*mtx[10]) / mtx[15]));
+		}
+
+		public override int GetHashCode() { return X.GetHashCode() ^ Y.GetHashCode() ^ Z.GetHashCode(); }
+
+		public override bool Equals(object obj)
+		{
+			if (obj == null)
+				return false;
+
+			WVec o = (WVec)obj;
+			return o == this;
+		}
+
+		public override string ToString() { return "{0},{1},{2}".F(X, Y, Z); }
+	}
+}