Double Click complete, trajectory movement WIP

Assets/Scripts/FlatlandMovement.cs

@@ -191,21 +191,36 @@ public class FlatlandMovement : MonoBehaviour
 
         var deltav = V.DenseOfArray(tmp);
 
-
         if (startv.magnitude > 0.0f)
         {
             deltav = Constants.BoostMatrix(startv) * deltav;
-            deltav.Normalize(2);
-            deltav = deltav * atmp;
 
             var deltavsize = Mathf.Sqrt((float)(deltav[1] * deltav[1] + deltav[2] * deltav[2]));
+
+            deltav = atmp / deltavsize * deltav;
+
+            deltav[0] = Constants.Gamma(atmp) * Constants.c;
+            deltav[1] *= Constants.Gamma(atmp);
+            deltav[2] *= Constants.Gamma(atmp);
+
+            deltav = Constants.BoostMatrix(-startv) * deltav;
+        }
+        else
+        {
+            var deltavsize = Mathf.Sqrt((float)(deltav[1] * deltav[1] + deltav[2] * deltav[2]));
+
+            deltav = atmp / deltavsize * deltav;
+
+            deltav[0] = Constants.Gamma(atmp) * Constants.c;
+            deltav[1] *= Constants.Gamma(atmp);
+            deltav[2] *= Constants.Gamma(atmp);
         }
 
         var tt = deltav[0] / Constants.c;
 
         Vector3 finaldeltav = new Vector3((float)(deltav[1] / tt), 0.0f, (float)(deltav[2] / tt));
 
-        levelManager.player.v = finaldeltav;*/
+        levelManager.player.v = finaldeltav;
 
 
     }

Assets/Scripts/PathRenderer.cs

@@ -200,16 +200,21 @@ public class PathRenderer : MonoBehaviour
 
         while (i <= finalPathNum)
         {
-            Vector3 acceleration = new Vector3(square.GetNthPath(i).x,0f, square.GetNthPath(i).y);
+            Vector3 acceleration = new Vector3(square.GetNthPath(i).x, 0f, square.GetNthPath(i).y);
 
-            acceleration.Normalize();
+            var offsetstartpos = Background.transform.position;
+            var startpos = levelManager.player.transform.position;
+
+            acceleration = acceleration.normalized;
 
             var deltat = Time.fixedDeltaTime * tinterval;
 
-            var v = square.GetPathVelocity(i) * Constants.c;
+            var v = square.GetPathVelocity(i);
 
+            acceleration = (float)((Constants.c / deltat) * MathNet.Numerics.Trig.Asinh(v * Constants.Gamma(v * Constants.c))) * acceleration;
+            // acceleration required to accelerate to v in deltat seconds: see https://en.wikiversity.org/wiki/Theory_of_relativity/Rindler_coordinates
 
-            acceleration = (float)(v * Constants.Gamma(v) / deltat) * acceleration;
+            var startv = levelManager.player.v;
 
             levelManager.player.alpha = acceleration;
 
@@ -217,13 +222,33 @@ public class PathRenderer : MonoBehaviour
             {
                 yield return new WaitForFixedUpdate();
             }
-
             levelManager.player.alpha = new Vector3(0, 0, 0);
+            var offsetnewpos = Background.transform.position;
+            var newpos = levelManager.player.transform.position;
+
+            var posdiff = newpos - startpos;
+            var offset = offsetnewpos - offsetstartpos;
+
+            posdiff = posdiff - offset;
+             
+            while(true)
+            {
+                var tmp = (square.GetDestPoint(i) + Background.transform.position - levelManager.player.transform.position);
+                if ((posdiff - tmp).magnitude < 0.01f)
+                    break;
+                yield return new WaitForFixedUpdate();
+            }
+
+            acceleration = -acceleration;
 
-            for (var j = 0; j < 1000; ++j)
+            levelManager.player.alpha = acceleration;
+
+            for (var j = 0; j < tinterval; ++j)
             {
                 yield return new WaitForFixedUpdate();
             }
+            levelManager.player.alpha = new Vector3(0, 0, 0);
+
 
             Background.Toggle = true;
 
@@ -231,6 +256,9 @@ public class PathRenderer : MonoBehaviour
 
             i++;
         }
+
+    }
+
     public void DeletePathsAfterNthPath(int n)
     {
         square.pathList.RemoveRange(n, _pathRenderer.positionCount - n);

Assets/Scripts/UIManager.cs

@@ -226,26 +226,6 @@ public class UIManager : MonoBehaviour
         StartCoroutine(pathRenderer._StartMovingPath(prevSelectPathNum));
     }
 
-    
-        bool result;
-        var positions = pathRenderer.PathPositionsXZ;
-        var velocitys = pathRenderer.PathVelocitys;
-
-        if (positions.Count <= 1 || velocitys.Count <= 1)
-        {
-            return;
-        }
-        // remove dummy
-        positions.RemoveAt(0);
-        velocitys.RemoveAt(0);
-
-        result = levelManager.player.MoveToRetivePosition(positions, velocitys);
-
-        if (result)
-        {
-            pathRenderer.PathClear();
-        }
-    }
 
     public void PathCancel()
     {