Thanks again to Alondria for adding: math support for

rot * rot, vec / rot, == and != overriders for Rotations and Vectors.
Also: llRotBetween(), llGetRegionTimeDilation(). And fixing:
Error in LSL2CSConverter that botched a variable with a type name in it (ex: rotationCenter)
Fixed: Error in LSL2CSConverter that parsed which() loops incorrectly.
Fixed: Changed definition of Quaternion to <x, y, z, r> from <x, y, z, t> (As per LSL)
Finished: llEuler2Rot() 

3 files changed, 181 insertions, 63 deletions

diff --git a/OpenSim/Region/ScriptEngine/Common/LSL_Types.cs b/OpenSim/Region/ScriptEngine/Common/LSL_Types.cs
index 5618db6..e0cf1e5 100644
--- a/OpenSim/Region/ScriptEngine/Common/LSL_Types.cs
+++ b/OpenSim/Region/ScriptEngine/Common/LSL_Types.cs
@@ -53,59 +53,53 @@ namespace OpenSim.Region.ScriptEngine.Common
                 y = Y;
                 z = Z;
             }
-            public string ToString()
+
+            #region Overriders 
+
+            public override string ToString()
             {
                 return "<" + x.ToString() + ", " + y.ToString() + ", " + z.ToString() + ">";
             }
-            public static Vector3 operator *(Vector3 v, float f)
+            public static bool operator ==(Vector3 lhs, Vector3 rhs)
             {
-                v.x = v.x * f;
-                v.y = v.y * f;
-                v.z = v.z * f;
-                return v;
+                return (lhs.x == rhs.x && lhs.y == rhs.y && lhs.z == rhs.z);
             }
-            public static Vector3 operator /(Vector3 v, float f)
+            public static bool operator !=(Vector3 lhs, Vector3 rhs)
             {
-                v.x = v.x / f;
-                v.y = v.y / f;
-                v.z = v.z / f;
-                return v;
+                return !(lhs == rhs);
             }
-            public static Vector3 operator /(float f, Vector3 v)
+            public override int GetHashCode()
             {
-                v.x = v.x / f;
-                v.y = v.y / f;
-                v.z = v.z / f;
-                return v;
+                return (x.GetHashCode() ^ y.GetHashCode() ^ z.GetHashCode());
             }
-            public static Vector3 operator *(float f, Vector3 v)
+
+
+            public override bool Equals(object o)
             {
-                v.x = v.x * f;
-                v.y = v.y * f;
-                v.z = v.z * f;
-                return v;
+                if (!(o is Vector3)) return false;
+
+                Vector3 vector = (Vector3)o;
+
+                return (x == vector.x && x == vector.x && z == vector.z);
             }
-            public static Vector3 operator *(Vector3 v1, Vector3 v2)
+
+            #endregion
+
+            #region Vector & Vector Math
+            // Vector-Vector Math
+            public static Vector3 operator +(Vector3 lhs, Vector3 rhs)
             {
-                v1.x = v1.x * v2.x;
-                v1.y = v1.y * v2.y;
-                v1.z = v1.z * v2.z;
-                return v1;
-            }
-            public static Vector3 operator +(Vector3 v1, Vector3 v2)
+                return new Vector3(lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z);
+            } 
+            public static Vector3 operator -(Vector3 lhs, Vector3 rhs)
             {
-                v1.x = v1.x + v2.x;
-                v1.y = v1.y + v2.y;
-                v1.z = v1.z + v2.z;
-                return v1;
+                return new Vector3(lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z);
             }
-            public static Vector3 operator -(Vector3 v1, Vector3 v2)
+            public static Vector3 operator *(Vector3 lhs, Vector3 rhs)
             {
-                v1.x = v1.x - v2.x;
-                v1.y = v1.y - v2.y;
-                v1.z = v1.z - v2.z;
-                return v1;
+                return new Vector3(lhs.x * rhs.x, lhs.y * rhs.y, lhs.z * rhs.z);
             }
+
             public static Vector3 operator %(Vector3 v1, Vector3 v2)
             {
                 //Cross product
@@ -115,6 +109,79 @@ namespace OpenSim.Region.ScriptEngine.Common
                 tv.z = (v1.x * v2.y) - (v1.y * v2.x);
                 return tv;
             }
+
+            #endregion
+            
+            #region Vector & Float Math
+            // Vector-Float and Float-Vector Math
+            public static Vector3 operator *(Vector3 vec, float val)
+            {
+                return new Vector3(vec.x * val, vec.y * val, vec.z * val);
+            }
+
+            public static Vector3 operator *(float val, Vector3 vec)
+            {
+                return new Vector3(vec.x * val, vec.y * val, vec.z * val);
+            }
+
+            public static Vector3 operator /(Vector3 v, float f)
+            {
+                v.x = v.x / f;
+                v.y = v.y / f;
+                v.z = v.z / f;
+                return v;
+            }
+
+            #endregion
+
+            #region Vector & Rotation Math
+            // Vector-Rotation Math
+            public static Vector3 operator *(Vector3 v, Quaternion r)
+            {
+                Quaternion vq = new Quaternion(v.x, v.y, v.z, 0);
+                Quaternion nq = new Quaternion(-r.x, -r.y, -r.z, r.s);
+
+                Quaternion result = (r * vq) * nq;
+
+                return new Vector3(result.x, result.y, result.z);
+            }
+            // I *think* this is how it works....
+            public static Vector3 operator /(Vector3 vec, Quaternion quat)
+            {
+                quat.s = -quat.s;
+                Quaternion vq = new Quaternion(vec.x, vec.y, vec.z, 0);
+                Quaternion nq = new Quaternion(-quat.x, -quat.y, -quat.z, quat.s);
+
+                Quaternion result = (quat * vq) * nq;
+
+                return new Vector3(result.x, result.y, result.z);
+            }
+            #endregion
+
+            #region Static Helper Functions
+            public static double Dot(Vector3 v1, Vector3 v2)
+            {
+                return (v1.x * v2.x) + (v1.y * v2.y) + (v1.z * v2.z);
+            }
+            public static Vector3 Cross(Vector3 v1, Vector3 v2)
+            {
+                return new Vector3
+                (
+                    v1.y * v2.z - v1.z * v2.y,
+                    v1.z * v2.x - v1.x * v2.z,
+                    v1.x * v2.y - v1.y * v2.x
+                );
+            }
+            public static float Mag(Vector3 v)
+            {
+                return (float)Math.Sqrt(v.x * v.y + v.y * v.y + v.z * v.z);
+            }
+            public static Vector3 Norm(Vector3 vector)
+            {
+                float mag = Mag(vector);
+                return new Vector3(vector.x / mag, vector.y / mag, vector.z / mag);
+            }
+            #endregion
         }
 
         [Serializable]
@@ -123,26 +190,66 @@ namespace OpenSim.Region.ScriptEngine.Common
             public double x;
             public double y;
             public double z;
-            public double r;
+            public double s;
 
             public Quaternion(Quaternion Quat)
             {
                 x = (float) Quat.x;
                 y = (float) Quat.y;
                 z = (float) Quat.z;
-                r = (float) Quat.r;
+                s = (float) Quat.s;
             }
 
-            public Quaternion(double X, double Y, double Z, double R)
+            public Quaternion(double X, double Y, double Z, double S)
             {
                 x = X;
                 y = Y;
                 z = Z;
-                r = R;
+                s = S;
             }
-            public string ToString()
+
+            #region Overriders
+
+            public override int GetHashCode()
+            {
+                return (x.GetHashCode() ^ y.GetHashCode() ^ z.GetHashCode() ^ s.GetHashCode());
+            }
+
+
+            public override bool Equals(object o)
+            {
+                if (!(o is Quaternion)) return false;
+
+                Quaternion quaternion = (Quaternion)o;
+
+                return x == quaternion.x && y == quaternion.y && z == quaternion.z && s == quaternion.s;
+            }
+            public override string ToString()
+            {
+                return "<" + x.ToString() + ", " + y.ToString() + ", " + z.ToString() + ", " + s.ToString() + ">";
+            }
+
+            public static bool operator ==(Quaternion lhs, Quaternion rhs)
+            {
+                // Return true if the fields match:
+                return lhs.x == rhs.x && lhs.y == rhs.y && lhs.z == rhs.z && lhs.s == rhs.s;
+            }
+
+            public static bool operator !=(Quaternion lhs, Quaternion rhs)
+            {
+                return !(lhs == rhs);
+            }
+
+            #endregion
+
+            public static Quaternion operator *(Quaternion a, Quaternion b)
             {
-                return "<" + x.ToString() + ", " + y.ToString() + ", " + z.ToString() + ", " + r.ToString() + ">";
+                Quaternion c;
+                c.x = a.s * b.x + a.x * b.s + a.y * b.z - a.z * b.y;
+                c.y = a.s * b.y + a.y * b.s + a.z * b.x - a.x * b.z;
+                c.z = a.s * b.z + a.z * b.s + a.x * b.y - a.y * b.x;
+                c.s = a.s * b.s - a.x * b.x - a.y * b.y - a.z * b.z;
+                return c;
             }
         }
     }
diff --git a/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/LSL/LSL2CSConverter.cs b/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/LSL/LSL2CSConverter.cs
index d9ebd14..00ddbba 100644
--- a/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/LSL/LSL2CSConverter.cs
+++ b/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/LSL/LSL2CSConverter.cs
@@ -47,7 +47,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler.LSL
             dataTypes.Add("key", "string");
             dataTypes.Add("vector", "LSL_Types.Vector3");
             dataTypes.Add("rotation", "LSL_Types.Quaternion");
-            dataTypes.Add("list", "List");
+            dataTypes.Add("list", "List<string>");
             dataTypes.Add("null", "null");
         }
 
@@ -203,7 +203,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler.LSL
                             //Console.WriteLine("Replacing using statename: " + current_statename);
                             cache =
                                 Regex.Replace(cache,
-                                              @"^(\s*)((?!(if|switch|for)[^a-zA-Z0-9_])[a-zA-Z0-9_]*\s*\([^\)]*\)[^;]*\{)",
+                                              @"^(\s*)((?!(if|switch|for|while)[^a-zA-Z0-9_])[a-zA-Z0-9_]*\s*\([^\)]*\)[^;]*\{)",
                                               @"$1public " + current_statename + "_event_$2",
                                               RegexOptions.Compiled | RegexOptions.Multiline | RegexOptions.Singleline);
                         }
@@ -236,7 +236,10 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler.LSL
                                   RegexOptions.Compiled | RegexOptions.Multiline);
                 // Replace return types and function variables - integer a() and f(integer a, integer a)
                 Script =
-                    Regex.Replace(Script, @"(^|;|}|[\(,])(\s*)" + key + @"(\s*)", @"$1$2" + val + "$3",
+                    Regex.Replace(Script, @"(^|;|}|[\(,])(\s*)" + key + @"(\s+)", @"$1$2" + val + "$3",
+                                  RegexOptions.Compiled | RegexOptions.Multiline);
+                Script =
+                    Regex.Replace(Script, @"(^|;|}|[\(,])(\s*)" + key + @"(\s*)[,]", @"$1$2" + val + "$3,",
                                   RegexOptions.Compiled | RegexOptions.Multiline);
             }
 
@@ -281,7 +284,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler.LSL
             // Add namespace, class name and inheritance
 
             Return = "" +
-                     "using OpenSim.Region.ScriptEngine.Common;";
+                     "using OpenSim.Region.ScriptEngine.Common; using System.Collections.Generic;";
             //"using System; " +
             //"using System.Collections.Generic; " +
             //"using System.Text; " +
diff --git a/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/Server_API/LSL_BuiltIn_Commands.cs b/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/Server_API/LSL_BuiltIn_Commands.cs
index 8563694..00e79c0 100644
--- a/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/Server_API/LSL_BuiltIn_Commands.cs
+++ b/OpenSim/Region/ScriptEngine/DotNetEngine/Compiler/Server_API/LSL_BuiltIn_Commands.cs
@@ -191,19 +191,19 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
         public LSL_Types.Vector3 llRot2Euler(LSL_Types.Quaternion r)
         {
             //This implementation is from http://lslwiki.net/lslwiki/wakka.php?wakka=LibraryRotationFunctions. ckrinke
-            LSL_Types.Quaternion t = new LSL_Types.Quaternion(r.x*r.x, r.y*r.y, r.z*r.z, r.r*r.r);
-            double m = (t.x + t.y + t.z + t.r);
+            LSL_Types.Quaternion t = new LSL_Types.Quaternion(r.x*r.x, r.y*r.y, r.z*r.z, r.s*r.s);
+            double m = (t.x + t.y + t.z + t.s);
             if (m == 0) return new LSL_Types.Vector3();
-            double n = 2*(r.y*r.r + r.x*r.z);
+            double n = 2*(r.y*r.s + r.x*r.z);
             double p = m*m - n*n;
             if (p > 0)
-                return new LSL_Types.Vector3(Math.Atan2(2.0*(r.x*r.r - r.y*r.z), (-t.x - t.y + t.z + t.r)),
+                return new LSL_Types.Vector3(Math.Atan2(2.0*(r.x*r.s - r.y*r.z), (-t.x - t.y + t.z + t.s)),
                                              Math.Atan2(n, Math.Sqrt(p)),
-                                             Math.Atan2(2.0*(r.z*r.r - r.x*r.y), (t.x - t.y - t.z + t.r)));
+                                             Math.Atan2(2.0*(r.z*r.s - r.x*r.y), (t.x - t.y - t.z + t.s)));
             else if (n > 0)
-                return new LSL_Types.Vector3(0.0, Math.PI/2, Math.Atan2((r.z*r.r + r.x*r.y), 0.5 - t.x - t.z));
+                return new LSL_Types.Vector3(0.0, Math.PI/2, Math.Atan2((r.z*r.s + r.x*r.y), 0.5 - t.x - t.z));
             else
-                return new LSL_Types.Vector3(0.0, -Math.PI/2, Math.Atan2((r.z*r.r + r.x*r.y), 0.5 - t.x - t.z));
+                return new LSL_Types.Vector3(0.0, -Math.PI/2, Math.Atan2((r.z*r.s + r.x*r.y), 0.5 - t.x - t.z));
         }
 
         public LSL_Types.Quaternion llEuler2Rot(LSL_Types.Vector3 v)
@@ -219,6 +219,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
             LSL_Types.Quaternion a1 = new LSL_Types.Quaternion(0.0, 0.0, cz, cw);
             LSL_Types.Quaternion a2 = new LSL_Types.Quaternion(0.0, by, 0.0, bw);
             LSL_Types.Quaternion a3 = new LSL_Types.Quaternion(ax, 0.0, 0.0, aw);
+            LSL_Types.Quaternion a = (a1 * a2) * a3;
             //This multiplication doesnt compile, yet.            a = a1 * a2 * a3;
             LSL_Types.Quaternion b = new LSL_Types.Quaternion(ax*bw*cw + aw*by*cz,
                                                               aw*by*cw - ax*bw*cz, aw*bw*cz + ax*by*cw,
@@ -230,13 +231,14 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
             if ((Math.Abs(c.x) > err && Math.Abs(d.x) > err) ||
                 (Math.Abs(c.y) > err && Math.Abs(d.y) > err) ||
                 (Math.Abs(c.z) > err && Math.Abs(d.z) > err) ||
-                (Math.Abs(c.r) > err && Math.Abs(d.r) > err))
+                (Math.Abs(c.s) > err && Math.Abs(d.s) > err))
             {
+                return b;
                 //return a new Quaternion that is null until I figure this out
                 //                return b;
                 //            return a;
             }
-            return new LSL_Types.Quaternion();
+            return a;
         }
 
         public LSL_Types.Quaternion llAxes2Rot(LSL_Types.Vector3 fwd, LSL_Types.Vector3 left, LSL_Types.Vector3 up)
@@ -258,12 +260,19 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
         {
             return new LSL_Types.Vector3();
         }
-
-        public LSL_Types.Quaternion llRotBetween(LSL_Types.Vector3 start, LSL_Types.Vector3 end)
+        public LSL_Types.Quaternion llRotBetween(LSL_Types.Vector3 a, LSL_Types.Vector3 b)
         {
-            return new LSL_Types.Quaternion();
-        }
+            //A and B should both be normalized
 
+            double dotProduct = LSL_Types.Vector3.Dot(a, b);
+            LSL_Types.Vector3 crossProduct = LSL_Types.Vector3.Cross(a, b);
+            double magProduct = LSL_Types.Vector3.Mag(a) * LSL_Types.Vector3.Mag(b);
+            double angle = Math.Acos(dotProduct / magProduct);
+            LSL_Types.Vector3 axis = LSL_Types.Vector3.Norm(crossProduct);
+            double s = Math.Sin(angle / 2);
+
+            return new LSL_Types.Quaternion(axis.x * s, axis.y * s, axis.z * s, (float)Math.Cos(angle / 2));
+        }
         public void llWhisper(int channelID, string text)
         {
             World.SimChat(Helpers.StringToField(text),
@@ -629,7 +638,6 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
             }
             if (face == -1)
             {
-                LLObject.TextureEntryFace texface;
                 for (int i = 0; i < 32; i++)
                 {
                     if (tex.FaceTextures[i] != null)
@@ -729,7 +737,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
 
         public void llSetRot(LSL_Types.Quaternion rot)
         {
-            m_host.UpdateRotation(new LLQuaternion((float) rot.x, (float) rot.y, (float) rot.z, (float) rot.r));
+            m_host.UpdateRotation(new LLQuaternion((float) rot.x, (float) rot.y, (float) rot.z, (float) rot.s));
         }
 
         public LSL_Types.Quaternion llGetRot()
@@ -1778,7 +1786,7 @@ namespace OpenSim.Region.ScriptEngine.DotNetEngine.Compiler
 
         public double llGetRegionTimeDilation()
         {
-            return 1.0f;
+            return (double)World.TimeDilation;
         }
 
         public double llGetRegionFPS()