Added ProperTime

Assets/Resources/New Material.mat

@@ -73,5 +73,5 @@ Material:
     - _UVSec: 0
     - _ZWrite: 1
     m_Colors:
-    - _Color: {r: 0, g: 0, b: 0, a: 1}
+    - _Color: {r: 1, g: 1, b: 1, a: 1}
     - _EmissionColor: {r: 0, g: 0, b: 0, a: 1}

Assets/Scenes/SampleScene.unity

@@ -120,6 +120,85 @@ NavMeshSettings:
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+  m_Pivot: {x: 0.5, y: 0.5}
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@@ -199,6 +278,52 @@ CanvasRenderer:
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+  currentSpeed: {fileID: 1214187783}
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@@ -268,7 +393,7 @@ SpriteRenderer:
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-  m_Color: {r: 1, g: 1, b: 1, a: 1}
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@@ -305,7 +430,7 @@ GameObject:
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@@ -571,8 +696,140 @@ Transform:
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Assets/Scripts/Constants.cs

@@ -4,9 +4,9 @@ using UnityEngine;
 
 public static class Constants
 {
-    public static double C => 40; // speed of light.
+    public static double c => 40; // speed of light.
     public static double Gamma(double v)
     {
-        return 1 / Mathf.Sqrt((1 - (float)((v / C) * (v / C))));
+        return 1 / Mathf.Sqrt((1 - (float)((v / c) * (v / c))));
     }
 }

Assets/Scripts/FlatLandObject.cs

@@ -5,10 +5,7 @@ using UnityEngine;
 public class FlatLandObject : MonoBehaviour
 {
     public Vector2 speedVector = new Vector2(0, 0);
+    public double gameSpeed = 20;
     public double properTime = 0;
-
-    public virtual void Update()
-    {
-        properTime += Time.deltaTime;
-    }
+    
 }

Assets/Scripts/PathRenderer.cs

-using System.Collections;
-using System.Collections.Generic;
-using UnityEngine;
-
-public class PathRenderer : MonoBehaviour
-{
-    LineRenderer line;
-    // Start is called before the first frame update
-    void Start()
-    {
-        Vector3 a = new Vector2(-30, -30);
-        Vector3 b = new Vector2(30, 30);
-        Vector3 c = new Vector2(-30, 30);
-        line = GetComponent<LineRenderer>();
-        Vector3[] lst = new Vector3[] { a, b, c };
-        line.positionCount = lst.Length;
-        line.SetPositions(lst);
-    }
-
-    // Update is called once per frame
-    void Update()
-    {
-        
-    }
-}

Assets/Scripts/Square.cs

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
+using System;
 
 public class Square : FlatLandObject
 {
 
     public LineRenderer pathRenderer; // About drawing paths.
     public List<Vector2> pathList = new List<Vector2>();
+    public UIManager uiManager;
 
     private Vector2 _currentPathEnd;
 
@@ -16,10 +18,11 @@ public class Square : FlatLandObject
     }
 
     // Update is called once per frame
-    public override void Update()
+    public void Update()
     {
         if(Input.GetMouseButtonDown(1)) // If right mouse button is clicked
         {
+            Debug.Log(getNthPath(0));
             Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
             if (Physics.Raycast(ray, out RaycastHit hit)) // If the click was on the background
             {
@@ -43,16 +46,18 @@ public class Square : FlatLandObject
 
     }
 
-    public void CreatePath(Vector3 point) // Creates the fitst path.
+    public void CreatePath(Vector3 point) // Creates the fitst path, and updates Proper Time UI.
     {
         pathRenderer.positionCount = 2;
         pathRenderer.SetPositions(new Vector3[] { transform.position, point });
+        uiManager.UpdateUI();
     }
 
-    public void AddPath(Vector3 point) // Adds new path to current path.
+    public void AddPath(Vector3 point) // Adds new path to current path, and updates Proper Time UI.
     {
         pathRenderer.positionCount++;
         pathRenderer.SetPosition(pathRenderer.positionCount - 1, point);
+        uiManager.UpdateUI();
     }
 
     public void Move()
@@ -79,4 +84,33 @@ public class Square : FlatLandObject
         pathRenderer.positionCount = 2;
         pathRenderer.SetPositions(new Vector3[] { Vector3.zero, 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.");
+
+        return pathRenderer.GetPosition(n + 1) - pathRenderer.GetPosition(n);
+    }
+
+    public double MovingTime(Vector2 v) // How long it takes to move given vector with current speed.
+    {
+        return v.sqrMagnitude / gameSpeed;
+    }
+
+    public double CalculateEntireMovingTime() // How long it takes to move current path all the way.
+    {
+        double result = 0;
+        for (int i = 0; i < pathRenderer.positionCount - 1; i++)
+            result += MovingTime(getNthPath(i));
+
+        return result / gameSpeed;
+    }
+
+    public void ModifySpeed(float d)
+    {
+        if (gameSpeed + d <= Constants.c && gameSpeed + d >= 0)
+            gameSpeed += d;
+        uiManager.UpdateUI();
+    }
 }

Assets/Scripts/UIManager.cs

+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEngine.UI;
+public class UIManager : MonoBehaviour
+{
+    public Text properTime;
+    public Text currentSpeed;
+    public Square square;
+
+    public void UpdateUI()
+    {
+        string 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();
+
+        properTime.text = "New Proper Time : " + newPropertime + "\nPrev Proper Time : " + prevPropertime;
+    }
+}

Assets/Scripts/PathRenderer.cs.meta → Assets/Scripts/UIManager.cs.meta

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