Added SuqareFact

Assets/Resources/Prefabs/Facts/Square.prefab

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Assets/Resources/Prefabs/Facts/Square.prefab.meta

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Assets/Scenes/Worlds/RiverWorld.unity

@@ -38,7 +38,7 @@ RenderSettings:
   m_ReflectionIntensity: 1
   m_CustomReflection: {fileID: 0}
   m_Sun: {fileID: 0}
-  m_IndirectSpecularColor: {r: 0.44100717, g: 0.4898312, b: 0.5698877, a: 1}
+  m_IndirectSpecularColor: {r: 0.44084534, g: 0.48955458, b: 0.56959116, a: 1}
   m_UseRadianceAmbientProbe: 0
 --- !u!157 &3
 LightmapSettings:
@@ -60617,6 +60617,12 @@ PrefabInstance:
       propertyPath: m_AnchoredPosition.y
       value: 0
       objectReference: {fileID: 0}
+    - target: {fileID: 2872381745209199267, guid: b07552db700124a4680401e6fb94c186,
+        type: 3}
+      propertyPath: Square
+      value: 
+      objectReference: {fileID: 6839596689016440457, guid: 3053a4bcf6f3c7c45ad438b69ffcde9b,
+        type: 3}
     - target: {fileID: 2872381745209199267, guid: b07552db700124a4680401e6fb94c186,
         type: 3}
       propertyPath: TestPoint

Assets/Scripts/InteractionEngine/FactHandling/FactSpawner.cs

@@ -17,6 +17,7 @@ public GameObject
         Ring,
         Prism,
         Cone,
+        Square,
         Circle;
 
     private void OnEnable()
@@ -58,10 +59,20 @@ public void SpawnFactRepresentation(Fact fact)
                 SpawnCone(ConeVolumeFact); break;
             case TruncatedConeVolumeFact TruncatedConeVolumeFact:
                 SpawnTruncatedCone(TruncatedConeVolumeFact); break;
+            case SquareFact squareFact:
+                SpawnSquare(squareFact); break;
             default: break;
         };
     }
 
+    public void SpawnSquare(SquareFact fact){
+
+        GameObject square = GameObject.Instantiate(Square);
+
+        square.transform.SetPositionAndRotation(fact.Position, fact.Rotation);
+        square.transform.localScale = Vector3.Scale(square.transform.localScale, fact.LocalScale);
+    }
+
     public void SpawnPoint(PointFact fact)
     {
         GameObject point = GameObject.Instantiate(Sphere);

Assets/Scripts/InteractionEngine/FactHandling/Facts/Fact.cs

@@ -71,6 +71,10 @@ public static class ParsingDictionary
             DynamicTupleFact.parseFact },
         { MMTConstants.FunctionFact,
             FunctionFact.parseFact },
+        {
+            MMTConstants.SquareType,
+            SquareFact.parseFact
+        },
     };
 
     // TODO: get rid of this
@@ -111,6 +115,7 @@ public static class ParsingDictionary
 [JsonSubtypes.KnownSubType(typeof(QuadFact), nameof(QuadFact))]
 [JsonSubtypes.KnownSubType(typeof(TriangleFact), nameof(TriangleFact))]
 [JsonSubtypes.KnownSubType(typeof(RealLitFact), nameof(RealLitFact))]
+[JsonSubtypes.KnownSubType(typeof(SquareFact), nameof(SquareFact))]
 public abstract class Fact
 {
     [JsonIgnore]

Assets/Scripts/InteractionEngine/FactHandling/Facts/SquareFact.cs

+using Newtonsoft.Json;
+using REST_JSON_API;
+using System;
+using System.Collections;
+using System.Collections.Generic;
+using System.Linq;
+using UnityEngine;
+
+/// <summary>
+/// Point in 3D Space
+/// </summary>
+public class SquareFact : FactWrappedCRTP<SquareFact>
+{
+
+
+    //used points
+    public string PidA, PidB, PidC;
+
+    public Vector3 A, B, C, D;
+
+
+
+    public PointFact GetA {get =>  (PointFact)FactRecorder.AllFacts[PidA];}
+    public PointFact GetB {get =>  (PointFact)FactRecorder.AllFacts[PidB];}
+    public PointFact GetC {get =>  (PointFact)FactRecorder.AllFacts[PidC];}
+    protected void calculate_vectors(){
+
+        A = ((PointFact)FactRecorder.AllFacts[PidA]).Point + Vector3.zero;
+        B = ((PointFact)FactRecorder.AllFacts[PidB]).Point + Vector3.zero;
+        C = ((PointFact)FactRecorder.AllFacts[PidC]).Point + Vector3.zero;
+        D = (A - B) + C;
+
+        Vector3 scale = new Vector3(Vector3.Distance(A, B), 1.0F, Vector3.Distance(B, C));
+        
+        LocalScale = scale * 0.5F;
+
+
+        Position =  B + 0.5F*((A-B) + (C-B));
+
+        //Vector3 normal = Vector3.Cross((A-B), (C-B)); s
+        /*
+         Vector3 arbitary_not_normal = normal == Vector3.forward ? Vector3.right : Vector3.forward;
+        Vector3 forward = Vector3.Cross(arbitary_not_normal, normal);
+
+        Rotation = Quaternion.LookRotation(forward, normal);
+        */
+
+        /*
+        //angle rotation around y axis
+        Vector3 AB = A - B;
+        Vector3 BC = C - B;
+
+        // Calculate the angle between AB and BC around the Y-axis
+        float yAxisRotation = Mathf.Atan2(AB.z, AB.x) * Mathf.Rad2Deg;
+        float xAxisRotation = Mathf.Atan2(BC.z, BC.y) * Mathf.Rad2Deg;
+        float zAxisRotation = Mathf.Atan2(AB.y, AB.x) * Mathf.Rad2Deg;
+
+        Vector3 rotationVector = new Vector3(0, yAxisRotation, 0);
+        */
+
+        //angle rotation around y axis
+
+        /*
+        float distABx = (A.x - B.x);
+        float distABy = (A.y - B.y);
+        float distABz = (A.z - B.z);
+
+        float distBCx = (C.x - B.x);
+        float distBCy = (C.y - B.y);
+        float distBCz = (C.z - B.z);
+
+        float ERROR = 1E-5F;
+
+        float xAxisRotation = Mathf.Rad2Deg* - Mathf.Atan(distBCy / distBCz);
+        float yAxisRotation = -(Mathf.Abs((distABx - distABz)) < ERROR ? 45.0F :  Mathf.Rad2Deg*Mathf.Atan(distABx / distABz));
+        float zAxisRotation = Mathf.Rad2Deg*Mathf.Atan(distABy / distABx);
+
+        Vector3 rotationVector = new Vector3(xAxisRotation, yAxisRotation, zAxisRotation);
+
+        Rotation = Quaternion.Euler(rotationVector);
+
+        */
+
+        /*
+        Vector3 forward = (from + to).normalized;
+
+        if (up.sqrMagnitude < Math3d.vectorPrecission)
+        { //Angle is 180° (or 0°)
+            Vector3 from_arbitary = from.normalized == Vector3.forward ? Vector3.right : Vector3.forward;
+            up = Vector3.Cross(from_arbitary, to);
+            forward = Vector3.Cross(up, to);
+        }
+
+        Vector3 upy0 = new Vector3(up.x, 0, up.z);
+        Rotation = Quaternion.LookRotation(upy0, up);
+
+        Vector3 from = (A - B).normalized;
+        Vector3 to = (C - B).normalized;
+        Vector3 up = Vector3.Cross(from, to);
+
+        Rotation = Quaternion.LookRotation(up, new Vector3(0.0F, 0.0F, 1.0F));
+
+        Vector3 normal = Vector3.Cross((A-B), (B-C));
+        lookObject.transform.position = normal + Position;
+        */
+        Vector3 from = (A - B).normalized;
+        Vector3 to = (C - B).normalized;
+        Vector3 up = Vector3.Cross(from, to);
+        Vector3 forward = Vector3.Cross(up, from);
+
+        Rotation = Quaternion.LookRotation(forward, new Vector3(1.0F, 0.0F, 0.0F));
+        
+    }
+
+    public SquareFact() : base(){
+        this.PidA = null;
+        this.PidB = null;
+        this.PidC = null;
+    }
+    [JsonConstructor]
+    public SquareFact( string PidA, string PidB, string PidC) : base()
+    {
+
+        this.PidA = PidA;
+        this.PidB = PidB;
+        this.PidC = PidC;
+
+        calculate_vectors();
+
+    }
+
+    /// <summary>
+    /// Bypasses initialization of new MMT %Fact by using existend URI, _which is not checked for existence_.
+    /// <see cref="Normal"/> set to <c>Vector3.up</c>
+    /// </summary>
+    /// <param name="Point">sets <see cref="Point"/></param>
+    /// <param name="ServerDefinition">MMT URI as OMS</param>
+    public SquareFact(string PidA, string PidB, string PidC, SOMDoc ServerDefinition) : base()
+    {
+  
+
+        this.PidA = PidA;
+        this.PidB = PidB;
+        this.PidC = PidC;
+        
+        this.ServerDefinition = ServerDefinition;
+
+        calculate_vectors();
+    
+    }
+
+    /// \copydoc Fact.parseFact(ScrollFact)
+    public new static IEnumerator parseFact(List<Fact> ret, MMTFact fact)
+    {
+        if (((MMTGeneralFact)fact).defines is not OMA df)
+            yield break;
+
+        OMS pointA, pointB, pointC;
+
+        pointA = (OMS)df.arguments[0];
+        pointB = (OMS)df.arguments[1];
+        pointC = (OMS)df.arguments[2];
+
+        string PidA = pointA.uri;
+        string PidB = pointB.uri;
+        string PidC = pointC.uri;
+
+        
+
+        ret.Add(new SquareFact(PidA, PidB, PidC, fact.@ref));
+
+        //ParsingDictionary.parseTermsToId.TryAdd(defines.ToString(), fact.@ref.uri);
+        //ret.Add(new PointFact(SOMDoc.MakeVector3(defines), fact.@ref));
+    }
+
+
+    /// \copydoc Fact.hasDependentFacts
+    public override bool HasDependentFacts => true;
+
+    /// \copydoc Fact.getDependentFactIds
+    protected override string[] GetDependentFactIds()
+        => new string[] { PidA, PidB, PidC};
+
+    /// \copydoc Fact.GetHashCode
+    /* public override int GetHashCode()
+        => this.Point.GetHashCode();
+    */
+    protected override void RecalculateTransform()
+    {
+        calculate_vectors();
+    }
+    /// \copydoc Fact.Equivalent(Fact, Fact)
+    protected override bool EquivalentWrapped(SquareFact f1, SquareFact f2){
+        
+        return (
+
+                    Math3d.IsApproximatelyEqual(f1.A, f2.A)
+                && Math3d.IsApproximatelyEqual(f1.B, f2.B)
+                && Math3d.IsApproximatelyEqual(f1.C, f2.C)
+                && Math3d.IsApproximatelyEqual(f1.D, f2.D)
+
+        );
+
+    }
+
+    protected override Fact _ReInitializeMe(Dictionary<string, string> old_to_new){
+        
+        return new SquareFact(this.PidA, this.PidB, this.PidC);
+
+    }
+
+    public override MMTFact MakeMMTDeclaration()
+    {
+        SOMDoc tp = new OMS(MMTConstants.SquareType);
+
+        return new MMTGeneralFact(_LastLabel, tp, Defines());
+    }
+
+    public override SOMDoc Defines()
+        => new OMA(
+                new OMS(MMTConstants.SquareCons),
+                new[] {
+                        new OMS(PidA),
+                        new OMS(PidB),
+                        new OMS(PidC),
+                }
+            );
+}
\ No newline at end of file

Assets/Scripts/InteractionEngine/FactHandling/Facts/SquareFact.cs.meta

+fileFormatVersion: 2
+guid: 64c5fe2dcc0ecfa4bba08af5e2f3860d
+MonoImporter:
+  externalObjects: {}
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Assets/Scripts/MMTServer/CommunicationProtocoll/MMTConstants.cs

@@ -39,6 +39,11 @@ public static class MMTConstants
         //public static readonly string RectangleFact = "http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleType";
         //public static readonly string RectangleFactmk = "http://mathhub.info/FrameIT/frameworld?FrameITRectangles?mkRectangle";
 
+
+         public static readonly string SquareCons = "http://mathhub.info/FrameIT/frameworld?SquareType?squareCons";
+        public static readonly string SquareType = "http://mathhub.info/FrameIT/frameworld?SquareType?squareType";
+        public static readonly string SquareScroll = "http://mathhub.info/FrameIT/frameworld?SquareScroll";
+
         public static readonly string CircleType3d = "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D";
         public static readonly string MkCircle3d = "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D";
         public static readonly string TriangleMiddlePoint = "http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper";
@@ -127,6 +132,7 @@ public static class MMTConstants
         public const string ScrollMidpoint2 = "http://mathhub.info/FrameIT/frameworld?Midpoint";
         public const string ScrollTest = "http://mathhub.info/FrameIT/frameworld?Test";
         public const string ScrollCircleScroll = "http://mathhub.info/FrameIT/frameworld?CircleScroll";
+        public const string ScrollMuchBetterCircleScroll = "http://mathhub.info/FrameIT/frameworld?MuchBetterCircleScroll";
         public const string ScrollCircleLineAngleScroll = "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll";
         public const string ScrollCircleAreaScroll = "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll";
         public const string ScrollConeVolumeScroll = "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll";
@@ -144,6 +150,11 @@ public static class MMTConstants
         {
             { TypeType,
                 typeof(Type) },
+            {
+                SquareType,
+                typeof(SquareFact)
+            },
+
             { Point,
                 typeof(Vector3) },
             { Metric,