perf: BehaviourController.GetBehaviours now uses Linq.Enumerable.Empty if None Found

Engine.Core/BehaviourController.cs

@@ -1,6 +1,7 @@
 using System;
 using System.Collections.Generic;
 using System.Diagnostics.CodeAnalysis;
+using System.Linq;
 
 using Syntriax.Engine.Core.Abstract;
 
@@ -55,17 +56,17 @@ public class BehaviourController : IBehaviourController
 
     public IList<T> GetBehaviours<T>()
     {
-        IList<T> behaviours = new List<T>();
+        List<T>? behaviours = null;
         foreach (var behaviourItem in this.behaviours)
         {
             if (behaviourItem is not T behaviour)
                 continue;
 
-            behaviours ??= new List<T>();
+            behaviours ??= [];
             behaviours.Add(behaviour);
         }
 
-        return behaviours;
+        return behaviours ?? Enumerable.Empty<T>().ToList();
     }
 
     public void RemoveBehaviour<T>(bool removeAll = false) where T : class, IBehaviour

Engine.Core/Extensions/Abstract/TransformExtensions.cs

@@ -0,0 +1,9 @@
+namespace Syntriax.Engine.Core.Abstract;
+
+public static class TransformExtensions
+{
+    public static Vector2D TransformVector2D(this ITransform transform, Vector2D vector)
+        => vector.Scale(transform.Scale)
+                 .Rotate(transform.Rotation * Math.DegreeToRadian)
+                 .Add(transform.Position);
+}

Engine.Core/Extensions/FloatExtensions.cs

@@ -0,0 +1,22 @@
+namespace Syntriax.Engine.Core;
+
+public static class FloatExtensions
+{
+    public static bool ApproximatelyEquals(this float a, float b)
+        => ApproximatelyEquals(a, b, float.Epsilon);
+    public static bool ApproximatelyEquals(this float a, float b, float epsilon)
+    {
+        if (a == b)
+            return true;
+
+        const float floatNormal = (1 << 23) * float.Epsilon;
+        float absA = Math.Abs(a);
+        float absB = Math.Abs(b);
+        float diff = Math.Abs(a - b);
+
+        if (a == 0.0f || b == 0.0f || diff < floatNormal)
+            return diff < (epsilon * floatNormal);
+
+        return diff / Math.Min(absA + absB, float.MaxValue) < epsilon;
+    }
+}

Engine.Core/Extensions/Vector2DExtensions.cs

@@ -13,6 +13,7 @@ public static class Vector2DExtensions
     public static Vector2D Multiply(this Vector2D vector, float value) => Vector2D.Multiply(vector, value);
     public static Vector2D Subdivide(this Vector2D vector, float value) => Vector2D.Subdivide(vector, value);
 
+    public static Vector2D Abs(this Vector2D vector) => Vector2D.Abs(vector);
     public static Vector2D Reflect(this Vector2D vector, Vector2D normal) => Vector2D.Reflect(vector, normal);
     public static Vector2D Normalize(this Vector2D vector) => Vector2D.Normalize(vector);
     public static Vector2D FromTo(this Vector2D from, Vector2D to) => Vector2D.FromTo(from, to);
@@ -27,4 +28,7 @@ public static class Vector2DExtensions
     public static float Cross(this Vector2D left, Vector2D right) => Vector2D.Cross(left, right);
     public static float AngleBetween(this Vector2D left, Vector2D right) => Vector2D.Angle(left, right);
     public static float Dot(this Vector2D left, Vector2D right) => Vector2D.Dot(left, right);
+
+
+    public static bool ApproximatelyEquals(this Vector2D left, Vector2D right, float epsilon = float.Epsilon) => Vector2D.ApproximatelyEquals(left, right, epsilon);
 }

Engine.Core/Math.cs

@@ -0,0 +1,32 @@
+using System;
+
+namespace Syntriax.Engine.Core;
+
+public static class Math
+{
+    public const float RadianToDegree = 180f / PI;
+    public const float DegreeToRadian = PI / 180f;
+
+    public const float E = 2.718281828459045f;
+    public const float PI = 3.1415926535897932f;
+    public const float Tau = 2f * PI;
+
+    public static float Abs(float x) => MathF.Abs(x);
+    public static float Acos(float x) => MathF.Acos(x);
+    public static float Asin(float x) => MathF.Asin(x);
+    public static float Atan2(float y, float x) => MathF.Atan2(y, x);
+    public static float Atanh(float x) => MathF.Atanh(x);
+    public static float Clamp(float x, float min, float max) => (x < min) ? min : (x > max) ? max : x;
+    public static float Ceiling(float x) => MathF.Ceiling(x);
+    public static float CopySign(float x, float y) => MathF.CopySign(x, y);
+    public static float Floor(float x) => MathF.Floor(x);
+    public static float IEEERemainder(float x, float y) => MathF.IEEERemainder(x, y);
+    public static float Log(float x, float y) => MathF.Log(x, y);
+    public static float Max(float x, float y) => MathF.Max(x, y);
+    public static float MaxMagnitude(float x, float y) => MathF.MaxMagnitude(x, y);
+    public static float Min(float x, float y) => MathF.Min(x, y);
+    public static float MinMagnitude(float x, float y) => MathF.MinMagnitude(x, y);
+    public static float Pow(float x, float y) => MathF.Pow(x, y);
+    public static float Round(float x, int digits, MidpointRounding mode) => MathF.Round(x, digits, mode);
+    public static float Truncate(float x) => MathF.Truncate(x);
+}

Engine.Core/Vector2D.cs

@@ -34,6 +34,7 @@ public record Vector2D(float X, float Y)
     public static Vector2D Multiply(Vector2D vector, float value) => vector * value;
     public static Vector2D Subdivide(Vector2D vector, float value) => vector / value;
 
+    public static Vector2D Abs(Vector2D vector) => new(Math.Abs(vector.X), Math.Abs(vector.Y));
     public static Vector2D Normalize(Vector2D vector) => vector / Length(vector);
     public static Vector2D Reflect(Vector2D vector, Vector2D normal) => vector - 2f * Dot(vector, normal) * normal;
     public static Vector2D FromTo(Vector2D from, Vector2D to) => to - from;
@@ -49,5 +50,25 @@ public record Vector2D(float X, float Y)
     public static float Angle(Vector2D left, Vector2D right) => MathF.Acos(Dot(left, right) / (Length(left) * Length(right)));
     public static float Dot(Vector2D left, Vector2D right) => left.X * right.X + left.Y * right.Y;
 
+    /// <summary>
+    /// Finds the Orientation of 3 <see cref="Vector2D"/>s
+    /// </summary>
+    /// <returns>0 -> Collinear, 1 -> Clockwise, 2 -> Counterclockwise</returns>
+    public static int Orientation(Vector2D left, Vector2D middle, Vector2D right)
+    {
+        Vector2D leftToMiddle = left.FromTo(middle);
+        Vector2D middleToRight = middle.FromTo(right);
+
+        float value = leftToMiddle.Y * middleToRight.X -
+                    leftToMiddle.X * middleToRight.Y;
+
+        if (value > 0) return 1;
+        if (value < 0) return 2;
+        return 0;
+    }
+
+    public static bool ApproximatelyEquals(Vector2D left, Vector2D right, float epsilon = float.Epsilon)
+        => left.X.ApproximatelyEquals(right.X, epsilon) && left.Y.ApproximatelyEquals(right.Y, epsilon);
+
     public override string ToString() => $"{nameof(Vector2D)}({X}, {Y})";
 }

Engine.Physics2D/Physics2D.cs

@@ -8,9 +8,6 @@ namespace Engine.Physics2D;
 
 public static partial class Physics2D
 {
-    public const float RadianToDegree = 57.29577866666166f;
-    public const float DegreeToRadian = 0.01745329277777778f;
-
     public static bool Overlaps(this Circle left, Circle right)
     {
         float distanceSquared = left.Position.FromTo(right.Position).LengthSquared();

Engine.Physics2D/PhysicsMath.cs

@@ -1,67 +0,0 @@
-using System;
-using System.Collections.Generic;
-
-using Syntriax.Engine.Core;
-using Syntriax.Engine.Physics2D.Primitives;
-
-namespace Syntriax.Engine.Physics2D;
-
-public static class PhysicsMath
-{
-
-
-    // Given three collinear points p, q, r, the function checks if 
-    // point q lies on line segment 'pr' 
-    public static bool OnSegment(Vector2D p, Vector2D q, Vector2D r)
-    {
-        if (q.X <= MathF.Max(p.X, r.X) && q.X >= MathF.Min(p.X, r.X) &&
-            q.Y <= MathF.Max(p.Y, r.Y) && q.Y >= MathF.Min(p.Y, r.Y))
-            return true;
-
-        return false;
-    }
-
-    // To find orientation of ordered triplet (p, q, r). 
-    // The function returns following values 
-    // 0 --> p, q and r are collinear 
-    // 1 --> Clockwise 
-    // 2 --> Counterclockwise 
-    public static int Orientation(Vector2D p, Vector2D q, Vector2D r)
-    {
-        // See https://www.geeksforgeeks.org/orientation-3-ordered-points/ 
-        // for details of below formula. 
-        float val = (q.Y - p.Y) * (r.X - q.X) -
-                (q.X - p.X) * (r.Y - q.Y);
-
-        if (val == 0) return 0; // collinear 
-
-        return (val > 0) ? 1 : 2; // clock or counterclock wise 
-    }
-
-    public static float IntersectionParameterT(Vector2D p0, Vector2D p1, Vector2D q0, Vector2D q1)
-        => ((q0.X - p0.X) * (p1.Y - p0.Y) - (q0.Y - p0.Y) * (p1.X - p0.X)) /
-            ((q1.Y - q0.Y) * (p1.X - p0.X) - (q1.X - q0.X) * (p1.Y - p0.Y));
-
-
-    public static bool ApproximatelyEquals(this float a, float b)
-        => ApproximatelyEquals(a, b, float.Epsilon);
-    public static bool ApproximatelyEquals(this Vector2D a, Vector2D b)
-        => ApproximatelyEquals(a, b, float.Epsilon);
-    public static bool ApproximatelyEquals(this Vector2D a, Vector2D b, float epsilon)
-        => ApproximatelyEquals(a.X, b.X, epsilon) && ApproximatelyEquals(a.Y, b.Y, epsilon);
-    public static bool ApproximatelyEquals(this float a, float b, float epsilon)
-    {
-        if (a == b)
-            return true;
-
-        const float floatNormal = (1 << 23) * float.Epsilon;
-        float absA = MathF.Abs(a);
-        float absB = MathF.Abs(b);
-        float diff = MathF.Abs(a - b);
-
-        if (a == 0.0f || b == 0.0f || diff < floatNormal)
-            return diff < (epsilon * floatNormal);
-
-        return diff / MathF.Min(absA + absB, float.MaxValue) < epsilon;
-    }
-}

Engine.Physics2D/Primitives/AABB.cs

@@ -1,14 +1,42 @@
+using System.Collections.Generic;
+
 using Syntriax.Engine.Core;
 
 namespace Syntriax.Engine.Physics2D.Primitives;
 
 public record AABB(Vector2D LowerBoundary, Vector2D UpperBoundary)
 {
+    public Vector2D Center => (LowerBoundary + UpperBoundary) * .5f;
+    public Vector2D Size => LowerBoundary.FromTo(UpperBoundary).Abs();
+    public Vector2D SizeHalf => Size * .5f;
+
+    public static AABB FromVectors(IEnumerable<Vector2D> vectors)
+    {
+        int counter = 0;
+
+        Vector2D lowerBoundary = new(float.MaxValue, float.MaxValue);
+        Vector2D upperBoundary = new(float.MinValue, float.MinValue);
+
+        foreach (Vector2D vector in vectors)
+        {
+            lowerBoundary = Vector2D.Min(lowerBoundary, vector);
+            upperBoundary = Vector2D.Max(upperBoundary, vector);
+            counter++;
+        }
+
+        if (counter < 2)
+            throw new System.ArgumentException($"Parameter {nameof(vectors)} must have at least 2 items.");
+
+        return new(lowerBoundary, upperBoundary);
+    }
+
     public static bool ApproximatelyEquals(AABB left, AABB right)
         => left.LowerBoundary.ApproximatelyEquals(right.LowerBoundary) && left.UpperBoundary.ApproximatelyEquals(right.UpperBoundary);
 }
 
 public static class AABBExtensions
 {
+    public static AABB ToAABB(this IEnumerable<Vector2D> vectors) => AABB.FromVectors(vectors);
+
     public static bool ApproximatelyEquals(this AABB left, AABB right) => AABB.ApproximatelyEquals(left, right);
 }

Engine.Physics2D/Primitives/Line.cs

@@ -107,18 +107,27 @@ public record Line(Vector2D From, Vector2D To)
 
     public static bool Intersects(Line left, Line right)
     {
-        int o1 = PhysicsMath.Orientation(left.From, left.To, right.From);
-        int o2 = PhysicsMath.Orientation(left.From, left.To, right.To);
-        int o3 = PhysicsMath.Orientation(right.From, right.To, left.From);
-        int o4 = PhysicsMath.Orientation(right.From, right.To, left.To);
+        int o1 = Vector2D.Orientation(left.From, left.To, right.From);
+        int o2 = Vector2D.Orientation(left.From, left.To, right.To);
+        int o3 = Vector2D.Orientation(right.From, right.To, left.From);
+        int o4 = Vector2D.Orientation(right.From, right.To, left.To);
 
         if (o1 != o2 && o3 != o4)
             return true;
 
-        if (o1 == 0 && PhysicsMath.OnSegment(left.From, right.From, left.To)) return true;
-        if (o2 == 0 && PhysicsMath.OnSegment(left.From, right.To, left.To)) return true;
-        if (o3 == 0 && PhysicsMath.OnSegment(right.From, left.From, right.To)) return true;
-        if (o4 == 0 && PhysicsMath.OnSegment(right.From, left.To, right.To)) return true;
+        if (o1 == 0 && OnSegment(left, right.From)) return true;
+        if (o2 == 0 && OnSegment(left, right.To)) return true;
+        if (o3 == 0 && OnSegment(right, left.From)) return true;
+        if (o4 == 0 && OnSegment(right, left.To)) return true;
+
+        return false;
+    }
+
+    public static bool OnSegment(Line line, Vector2D point)
+    {
+        if (point.X <= MathF.Max(line.From.X, line.To.X) && point.X >= MathF.Min(line.From.X, line.To.X) &&
+            point.Y <= MathF.Max(line.From.Y, line.To.Y) && point.Y >= MathF.Min(line.From.Y, line.To.Y))
+            return true;
 
         return false;
     }

Engine.Physics2D/Primitives/LineEquation.cs

@@ -1,3 +1,5 @@
+using Syntriax.Engine.Core;
+
 namespace Syntriax.Engine.Physics2D.Primitives;
 
 public record LineEquation(float Slope, float OffsetY)

Engine.Physics2D/Primitives/Shape.cs

@@ -1,11 +1,12 @@
 using System;
+using System.Collections;
 using System.Collections.Generic;
 
 using Syntriax.Engine.Core;
 
 namespace Syntriax.Engine.Physics2D.Primitives;
 
-public record Shape(IList<Vector2D> Vertices)
+public record Shape(IList<Vector2D> Vertices) : IEnumerable<Vector2D>
 {
     public Vector2D this[Index index] => Vertices[index];
 
@@ -61,6 +62,9 @@ public record Shape(IList<Vector2D> Vertices)
 
         return true;
     }
+
+    public IEnumerator<Vector2D> GetEnumerator() => Vertices.GetEnumerator();
+    IEnumerator IEnumerable.GetEnumerator() => Vertices.GetEnumerator();
 }
 
 public static class ShapeExtensions