added length contraction feature, minor UI and bug fixes.

Assets/Scenes/SampleScene.unity

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@@ -223,9 +223,9 @@ Transform:
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+  m_LocalScale: {x: 5, y: 5, z: 0.111111104}
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@@ -597,11 +597,11 @@ SpriteRenderer:
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+  m_Size: {x: 2.2959232, y: 2.2460759, z: 1}
+  m_Center: {x: 0.033225823, y: 0.008307076, z: 0}
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+  m_LocalScale: {x: 5, y: 5, z: 0.111111104}
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@@ -1015,6 +1015,97 @@ Transform:
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@@ -1179,7 +1270,7 @@ LineRenderer:
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   m_ReflectionProbeUsage: 0
   m_RenderingLayerMask: 1
-  m_RendererPriority: 0
+  m_RendererPriority: 2
   m_Materials:
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   m_StaticBatchInfo:
@@ -1257,7 +1348,7 @@ LineRenderer:
     textureMode: 0
     shadowBias: 0.5
     generateLightingData: 0
-  m_UseWorldSpace: 1
+  m_UseWorldSpace: 0
   m_Loop: 0
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   m_LocalRotation: {x: -0, y: -0, z: -0, w: 1}
-  m_LocalPosition: {x: 0, y: 0, z: 1}
+  m_LocalPosition: {x: 0, y: 0, z: 0}
   m_LocalScale: {x: 1, y: 1, z: 1}
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   m_Father: {fileID: 0}
-  m_RootOrder: 3
+  m_RootOrder: 1
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@@ -1629,9 +1720,9 @@ MonoBehaviour:
     m_HorizontalOverflow: 0
     m_VerticalOverflow: 0
     m_LineSpacing: 1
-  m_Text: 'New Proper Time:
+  m_Text: 'ETA(you):
 
-    Prev Proper Time:'
+    ETA(start frame):'
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@@ -1731,6 +1822,117 @@ MeshRenderer:
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+  speedVector: {x: 0, y: 0}
+  gameSpeed: 0
+  properTime: 0
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@@ -2084,8 +2286,11 @@ MonoBehaviour:
   gameSpeed: 20
   properTime: 0
   pathRenderer: {fileID: 818789542}
+  pathPositionObjects: []
   pathList: []
   uiManager: {fileID: 265944882}
+  Background: {fileID: 308816708}
+  backgroundSize: 400
   allObjects: []
   attatchedObject: {fileID: 0}
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@@ -2124,7 +2329,7 @@ SpriteRenderer:
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   m_Father: {fileID: 0}
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+  m_RootOrder: 3
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Assets/Scripts/FlatLandObject.cs

@@ -4,13 +4,14 @@ using UnityEngine;
 
 public class FlatLandObject : MonoBehaviour
 {
-    public Square square;
+    public Square square = null;
     public Vector2 speedVector = new Vector2(0, 0);
     public double gameSpeed = 0;
     public double properTime = 0;
 
     void Awake()
     {
-        square.allObjects.Add(this);
+        if(square != null)
+            square.allObjects.Add(this);
     }
 }

Assets/Scripts/Square.cs

@@ -2,14 +2,18 @@
 using System.Collections.Generic;
 using UnityEngine;
 using System;
+using UnityEngine.SceneManagement;
 using System.Linq;
 
 public class Square : FlatLandObject
 {
 
     public LineRenderer pathRenderer; // About drawing paths.
+    public List<GameObject> pathPositionObjects = new List<GameObject>();
     public List<Vector2> pathList = new List<Vector2>();
     public UIManager uiManager;
+    public GameObject Background;
+    public float backgroundSize = 400.0f;
 
     public List<FlatLandObject> allObjects = new List<FlatLandObject>(); // Evety FlatLandObject is automatically added with Awake().
     public FlatLandObject attatchedObject = null;
@@ -29,7 +33,7 @@ public class Square : FlatLandObject
             Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
             if (Physics.Raycast(ray, out RaycastHit hit)) // If the click was on the background
             {
-                if (Input.GetKey(KeyCode.LeftShift) && pathRenderer.GetPosition(1) != Vector3.zero) // If shift is clicked and path is already exists
+                if (Input.GetKey(KeyCode.LeftShift) && pathPositionObjects.Count >= 1) // If shift is clicked and path is already exists
                     AddPath(hit.point);
                 else
                     CreatePath(hit.point);
@@ -43,24 +47,106 @@ public class Square : FlatLandObject
             Detach();
     }
 
-    public IEnumerator MoveSquare(Vector2 destination)
+    public IEnumerator MoveSquare(GameObject destination)
     {
-        speedVector = destination - (Vector2)transform.position;
+        Vector2 dest = new Vector2(destination.transform.position.x, destination.transform.position.y);
+        Vector2 start = new Vector2(transform.position.x, transform.position.y);
+        speedVector = dest - start;
+        Vector2 prevFrameSpeedVector = speedVector;
+        //Vector2 ndest = (Vector2)transform.position + (speedVector / (float)Constants.Gamma(gameSpeed));
         Vector3 scaledVector = speedVector * Time.deltaTime;
-        while (speedVector.x * (destination.x - transform.position.x) > 0 || speedVector.y * (destination.y - transform.position.y) > 0)
+        LengthContraction(scaledVector);
+        dest = new Vector2(destination.transform.position.x, destination.transform.position.y);
+        start = new Vector2(transform.position.x, transform.position.y);
+        speedVector = dest - start;
+        scaledVector = speedVector * Time.deltaTime;
+        while (speedVector.x * (destination.transform.position.x - transform.position.x) > 0 || speedVector.y * (destination.transform.position.y - transform.position.y) > 0)
         {
             transform.position += scaledVector;
             if (attatchedObject != null)
                 attatchedObject.gameObject.transform.position += scaledVector;
             yield return null;
         }
+        Background.transform.localScale = new Vector3(backgroundSize, backgroundSize, 1.0F);
+        Background.transform.position = new Vector3(Background.transform.localPosition.x, Background.transform.localPosition.y, 0.0f);
+        //RemoveFromBackground();
+        Background.transform.DetachChildren();
+        //pathRenderer.transform.position = new Vector3(0.0f, 0.0f, -2.0f);
+        Background.transform.position = destination.transform.position;
+        //Background.transform.localPosition += (Vector3)speedVector;
+        //Background.transform.localPosition += (Vector3)speedVector;
+        AddtoBackground();
+        Background.transform.position = transform.position;
+        Background.transform.position = new Vector3(Background.transform.position.x, Background.transform.position.y, 0.0f);
+        //Background.transform.DetachChildren();
+        //Background.transform.localEulerAngles = new Vector3(0.0F, 0.0F, 0.0F);
+        //Background.transform.LookAt(-Vector3.forward);
+        //AddtoBackground();
+        //RemoveFromBackground();
+        Background.transform.DetachChildren();
+        Background.transform.position = new Vector3(Background.transform.position.x, Background.transform.position.y, 0.0f);
+        //pathRenderer.transform.position = new Vector3(0.0f, 0.0f, -2.0f);
+        yield return null;
+    }
+
+    public void LengthContraction(Vector3 scaledVector) // length contraction - find all flatlandobjects not grabbed by the square, add them to the rotated background and squeeze
+    {
+        //Background.transform.localPosition = new Vector3(transform.localPosition.x, transform.localPosition.y, Background.transform.localPosition.z);
+        Background.transform.rotation = Quaternion.LookRotation(Vector3.forward, scaledVector);
+        //Background.transform.LookAt(new Vector3(0.0f,0.0f,1.0f),scaledVector);
+        AddtoBackground();
+
+        Background.transform.localScale = new Vector3(backgroundSize, (float)(1 / Constants.Gamma(gameSpeed)) * backgroundSize, 1.0F);
+    }
+    public void AddtoBackground()
+    {
+        List<GameObject> rootObjects = new List<GameObject>();
+        Scene scene = SceneManager.GetActiveScene();
+        scene.GetRootGameObjects(rootObjects);
+
+        foreach (GameObject anobject in rootObjects)
+        {
+            if (anobject.GetComponent<FlatLandObject>() != null && anobject.GetComponent<Square>() == null)
+            {
+                if (attatchedObject != null && anobject == attatchedObject.gameObject)
+                    continue;
+                else
+                {
+                    anobject.transform.parent = Background.transform;
+                }
+            }
+        }
+        pathRenderer.transform.parent = Background.transform;
+    }
 
+    public void RemoveFromBackground()
+    {
+        foreach(Transform t in Background.transform)
+        {
+            Vector3 realposition = t.position;
+            Quaternion realrotation = t.rotation;
+            Vector3 realscale = t.lossyScale;
+            Transform a = t;
+            t.parent = null;
+            a.localPosition = realposition;
+            a.localRotation = realrotation;
+            a.localScale = realscale;
+        }
     }
 
     public void CreatePath(Vector3 point) // Creates the fitst path, and updates Proper Time UI.
     {
+        ResetPaths();
         pathRenderer.positionCount = 2;
         pathRenderer.SetPositions(new Vector3[] { transform.position, point });
+        pathRenderer.material.color = Color.green;
+
+        GameObject wow = new GameObject("Point1"); //turn the destination point into a gameobject for length contraction scaling
+        wow.transform.parent = null;
+        wow.transform.localPosition = new Vector3(point.x, point.y, 0.0f);
+        wow.AddComponent<FlatLandObject>();
+        pathPositionObjects.Add(wow);
+
         uiManager.UpdateUI();
     }
 
@@ -68,6 +154,12 @@ public class Square : FlatLandObject
     {
         pathRenderer.positionCount++;
         pathRenderer.SetPosition(pathRenderer.positionCount - 1, point);
+
+        GameObject wow = new GameObject("Point" + (pathRenderer.positionCount - 1), typeof(FlatLandObject));
+        wow.transform.parent = null;
+        wow.transform.localPosition = new Vector3(point.x, point.y, 0.0f);
+        pathPositionObjects.Add(wow);
+
         uiManager.UpdateUI();
     }
 
@@ -79,11 +171,18 @@ public class Square : FlatLandObject
 
     public IEnumerator _StartMovingPath()
     {
-        Vector3[] tomoveList = new Vector3[pathRenderer.positionCount];
-        pathRenderer.GetPositions(tomoveList);
-        for(int i = 1; i < pathRenderer.positionCount; i++)
+        //Vector3[] tomoveList = new Vector3[pathRenderer.positionCount];
+        //pathRenderer.GetPositions(tomoveList);
+        //Vector3[] tomoveList = new Vector3[pathRenderer.positionCount - 1];
+
+        //for(int i = 1; i < pathRenderer.positionCount; i++)
+        //{
+            //yield return StartCoroutine(MoveSquare(tomoveList[i]));
+        //}
+        foreach(GameObject wow in pathPositionObjects)
         {
-            yield return StartCoroutine(MoveSquare(tomoveList[i]));
+            yield return StartCoroutine(MoveSquare(wow));
+            //Background.transform.position = transform.position;
         }
 
         AddTimes();
@@ -96,12 +195,18 @@ public class Square : FlatLandObject
     {
         pathRenderer.positionCount = 2;
         pathRenderer.SetPositions(new Vector3[] { Vector3.zero, Vector3.zero });
+        foreach(GameObject j in pathPositionObjects)
+        {
+            Destroy(j);
+        }
+        pathPositionObjects = new List<GameObject>();
+        pathRenderer.transform.localPosition = Vector3.zero;
     }
 
     public Vector2 getNthPath(int n) // returns movement vector stored in path renderer by index.
     {
         if (n >= pathRenderer.positionCount)
-            throw new InvalidOperationException(n + "th path is not stored.");
+            throw new InvalidOperationException(n + "the path is not stored.");
 
         return pathRenderer.GetPosition(n + 1) - pathRenderer.GetPosition(n);
     }
@@ -132,7 +237,16 @@ public class Square : FlatLandObject
         var lst = Physics.OverlapSphere(transform.position, 10);
 
         if (lst.Length > 0)
-            attatchedObject = lst[0].gameObject.GetComponent<FlatLandObject>();
+        {
+            foreach(Collider thing in lst)
+            {
+                if (thing.gameObject.GetComponent<FlatLandObject>() != null)
+                {
+                    attatchedObject = thing.gameObject.GetComponent<FlatLandObject>();
+                    break;
+                }
+            }
+        }
     }
 
     public void Detach()

Assets/Scripts/UIManager.cs

@@ -10,24 +10,36 @@ public class UIManager : MonoBehaviour
     public Square square;
     public FlatLandObject clock1, clock2;
     public GameObject victoryScreen;
+    float curZoomPos = 95.0f;
 
     public void UpdateUI() // it just updates UI.
     {
-        string newPropertime, prevPropertime;
+        double newPropertime, prevPropertime;
 
         currentSpeed.text = "Current Speed : " + (square.gameSpeed / Constants.c).ToString("F2") + "c";
 
-        prevPropertime = square.CalculateEntireMovingTime().ToString();
-        newPropertime = (square.CalculateEntireMovingTime() / Constants.Gamma(square.gameSpeed)).ToString();
+        prevPropertime = square.CalculateEntireMovingTime();
+        newPropertime = (square.CalculateEntireMovingTime() / Constants.Gamma(square.gameSpeed));
 
-        properTime.text = "New Proper Time : +" + newPropertime + " seconds\nPrev Proper Time : +" + prevPropertime + " seconds";
+        properTime.text = "ETA(you) : " + newPropertime.ToString("+0;-#") + " seconds\nETA(start frame) : " + prevPropertime.ToString("+0;-#") + " seconds\nΔt : " + (newPropertime - prevPropertime).ToString("+0;-#") + " seconds";
 
-        clockText.text = "Clock1 : " + clock1.properTime + " second\nClock2 : " + clock2.properTime + " second";
+        clockText.text = "Clock1 : " + clock1.properTime + " seconds\nClock2 : " + clock2.properTime + " seconds";
+    }
+
+    public void Update()
+    {
+        float y = Input.mouseScrollDelta.y;
+        curZoomPos -= y*20;
+
+        curZoomPos = Mathf.Clamp(curZoomPos, 40f, 400f);
+
+        // Makes the actual change to Field Of View
+        Camera.main.orthographicSize = curZoomPos;
     }
 
     public void CheckVictory()
     {
-        if ((clock1.transform.position - clock2.transform.position).sqrMagnitude < 10 && Mathf.Abs((float)(clock1.properTime - clock2.properTime)) < 1)
+        if ((clock1.transform.position - clock2.transform.position).sqrMagnitude < 20 && Mathf.Abs((float)(clock1.properTime - clock2.properTime)) < 1)
             victoryScreen.SetActive(true);
     }
 }

ProjectSettings/GraphicsSettings.asset

@@ -31,6 +31,9 @@ GraphicsSettings:
   m_AlwaysIncludedShaders:
   - {fileID: 10753, guid: 0000000000000000f000000000000000, type: 0}
   - {fileID: 10770, guid: 0000000000000000f000000000000000, type: 0}
+  - {fileID: 16000, guid: 0000000000000000f000000000000000, type: 0}
+  - {fileID: 16001, guid: 0000000000000000f000000000000000, type: 0}
+  - {fileID: 17000, guid: 0000000000000000f000000000000000, type: 0}
   m_PreloadedShaders: []
   m_SpritesDefaultMaterial: {fileID: 10754, guid: 0000000000000000f000000000000000,
     type: 0}

ProjectSettings/UnityConnectSettings.asset

@@ -4,7 +4,7 @@
 UnityConnectSettings:
   m_ObjectHideFlags: 0
   serializedVersion: 1
-  m_Enabled: 0
+  m_Enabled: 1
   m_TestMode: 0
   m_EventOldUrl: https://api.uca.cloud.unity3d.com/v1/events
   m_EventUrl: https://cdp.cloud.unity3d.com/v1/events