From 2d5f5e2b32c5b8cc5bf6492964e06724b8935fd1 Mon Sep 17 00:00:00 2001
From: dan miller
Date: Sun, 7 Oct 2007 14:40:02 +0000
Subject: applied Darok"s BulletXPlugin changes 003.patch

---
 .../MonoXnaCompactMaths/Quaternion.cs              | 91 +++++++++++++++++++++-
 1 file changed, 88 insertions(+), 3 deletions(-)

(limited to 'libraries/ModifiedBulletX/MonoXnaCompactMaths/Quaternion.cs')

diff --git a/libraries/ModifiedBulletX/MonoXnaCompactMaths/Quaternion.cs b/libraries/ModifiedBulletX/MonoXnaCompactMaths/Quaternion.cs
index b4f1873..b6d9d34 100644
--- a/libraries/ModifiedBulletX/MonoXnaCompactMaths/Quaternion.cs
+++ b/libraries/ModifiedBulletX/MonoXnaCompactMaths/Quaternion.cs
@@ -90,7 +90,91 @@ namespace MonoXnaCompactMaths
 
         public static Quaternion CreateFromRotationMatrix(Matrix matrix)
         {
-            throw new NotImplementedException();
+            float Omega2 = matrix.M44;
+            if (!isAprox(Omega2, 1f))
+            {
+                //"Normalize" the Rotation matrix. Norma = M44 = Omega2
+                matrix = matrix / Omega2;
+            }
+            //Deducted from: public static Matrix CreateFromQuaternion(Quaternion quaternion)
+            float lambda1pos, lambda2pos, lambda3pos, lambda1neg, lambda2neg, lambda3neg;
+            lambda1pos = (1f - matrix.M11 + matrix.M23 + matrix.M32) / 2f;
+            lambda2pos = (1f - matrix.M22 + matrix.M13 + matrix.M31) / 2f;
+            lambda3pos = (1f - matrix.M33 + matrix.M12 + matrix.M21) / 2f;
+            lambda1neg = (1f - matrix.M11 - matrix.M23 - matrix.M32) / 2f;
+            lambda2neg = (1f - matrix.M22 - matrix.M13 - matrix.M31) / 2f;
+            lambda3neg = (1f - matrix.M33 - matrix.M12 - matrix.M21) / 2f;
+
+            //lambadIS = (qJ + s*qK)^2
+            //q0 = w | q1 = x | q2 = y, q3 = z
+            //Every value of qI (I=1,2,3) has 4 possible values cause the sqrt
+            float[] x = new float[4]; float[] y = new float[4]; float[] z = new float[4];
+            float[] sig1 = {1f, 1f, -1f, -1f};
+            float[] sig2 = {1f, -1f, 1f, -1f};
+            for (int i = 0; i < 4; i++)
+            {
+                x[i] = (sig1[i] * (float)Math.Sqrt(lambda1pos) + sig2[i] * (float)Math.Sqrt(lambda1neg)) / 2f;
+                y[i] = (sig1[i] * (float)Math.Sqrt(lambda2pos) + sig2[i] * (float)Math.Sqrt(lambda2neg)) / 2f;
+                z[i] = (sig1[i] * (float)Math.Sqrt(lambda3pos) + sig2[i] * (float)Math.Sqrt(lambda3neg)) / 2f;
+            }
+
+            //Only a set of x, y, z are the corrects values. So it requires testing
+            int li_i=0, li_j=0, li_k=0;
+            bool lb_testL1P, lb_testL2P, lb_testL3P, lb_testL1N, lb_testL2N, lb_testL3N;
+            bool lb_superLambda = false;
+            while((li_i<4)&&(!lb_superLambda))
+            {
+                while ((li_j < 4) && (!lb_superLambda))
+                {
+                    while ((li_k < 4) && (!lb_superLambda))
+                    {
+                        lb_testL1P = isAprox((float)(
+                            Math.Pow((double)(y[li_j] + z[li_k]), 2.0)), lambda1pos);
+                        lb_testL2P = isAprox((float)(
+                            Math.Pow((double)(x[li_i] + z[li_k]), 2.0)), lambda2pos);
+                        lb_testL3P = isAprox((float)(
+                            Math.Pow((double)(x[li_i] + y[li_j]), 2.0)), lambda3pos);
+                        lb_testL1N = isAprox((float)(
+                            Math.Pow((double)(y[li_j] - z[li_k]), 2.0)), lambda1neg);
+                        lb_testL2N = isAprox((float)(
+                            Math.Pow((double)(x[li_i] - z[li_k]), 2.0)), lambda2neg);
+                        lb_testL3N = isAprox((float)(
+                            Math.Pow((double)(x[li_i] - y[li_j]), 2.0)), lambda3neg);
+
+                        lb_superLambda = (lb_testL1P && lb_testL2P && lb_testL3P
+                            && lb_testL1N && lb_testL2N && lb_testL3N);
+
+                        if (!lb_superLambda) li_k++;
+                    }
+                    if (!lb_superLambda) li_j++;
+                }
+                if (!lb_superLambda) li_i++;
+            }
+
+            Quaternion q = new Quaternion();
+
+            if (lb_superLambda)
+            {
+                q.X = x[li_i]; q.Y = y[li_j]; q.Z = z[li_k];
+                q.W = (matrix.M12 - 2f * q.X * q.Y) / (2f * q.Z);
+
+                if (!isAprox(Omega2, 1f))
+                {
+                    if (Omega2 < 0) throw new Exception("Quaternion.CreateFromRotationMatrix: Omega2 is negative!");
+                    q = q * (float)Math.Sqrt(Omega2);//2 possibles values (+/-). For now only 1.
+                }
+            }
+            else
+            {
+                q = Quaternion.identity;
+            }
+
+            return q;
+        }
+        private static float floatError = 0.000001f;
+        private static bool isAprox(float test, float realValue)
+        {
+            return (((realValue * (1f - floatError)) <= test) && (test <= (realValue * (1f + floatError))));
         }
 
 
@@ -317,7 +401,8 @@ namespace MonoXnaCompactMaths
 
         public static Quaternion operator *(Quaternion quaternion1, float scaleFactor)
         {
-            throw new NotImplementedException();
+            return new Quaternion(quaternion1.X / scaleFactor, quaternion1.Y / scaleFactor,
+                quaternion1.Z / scaleFactor, quaternion1.W / scaleFactor);
         }
 
 
@@ -335,7 +420,7 @@ namespace MonoXnaCompactMaths
 
         public override string ToString()
         {
-            throw new NotImplementedException();
+            return "(" + this.X + ", " + this.Y + ", " + this.Z + ", " + this.W + ")";
         }
 
         private static void Conjugate(ref Quaternion quaternion, out Quaternion result)
-- 
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