Add TPlane.

Engine/src/Runtime/Core/public/Math/Plane.hpp

@@ -15,8 +15,184 @@ namespace Phanes::Core::Math {
     public:
         TVector3<T> normal;
         T d;
+
+    public:
+
+        /**
+         * Default constructor.
+         */
+
+        TPlane() = default;
+
+        /**
+         * Copy constructor
+         */
+
+        TPlane(const TPlane<T>& plane) : normal(plane.normal), d(plane.d) {};
+
+        /**
+         * Move constructor 
+         */
+
+        TPlane(TPlane<T>&& plane) :
+            normal(std::move(plane.normal)),
+            d(std::move(plane.d))
+        {}
+
+
+        /**
+         * Construct plane from normal and d 
+         * 
+         * @param(normal) Normal of plane
+         * @param(d) Scalar component
+         * 
+         * @note Normal is NOT normalized, make sure to normalize [PARAM]normal, or use [FUNC]CreateFromVector. Otherwise unexpected results may occur using the plane.
+         */
+        
+        TPlane(const TVector3<T>& normal, T d) :
+            normal(normal),
+            d(d)
+        {}
+
+        /**
+         * Construct plane from normal and base point.
+         * 
+         * @param(normal) Normal of plane
+         * @param(base) Base point
+         */
+       
+        TPlane(const TVector3<T>& normal, const TVector3<T>& base) :
+            normal(normal)
+        {
+            this->d = DotP(this->normal, base);
+        }
+
+        /**
+         * Construct plane from coefficients
+         * 
+         * @param(x) X coefficient
+         * @param(y) Y coefficient
+         * @param(z) Z coefficient
+         * @param(d) D coefficient
+         */
+
+        TPlane(T x, T y, T z, T d) :
+            d(d)
+        {
+            this->normal = TVector3<T>(x, y, z);
+        }
+
+        /**
+         * Construct plane from 3 points
+         * 
+         * @param(p1) Point one
+         * @param(p2) Point two
+         * @param(p3) Point three
+         */
+
+        TPlane(const TVector3<T>& p1, const TVector3<T>& p2, const TVector3<T>& p3)
+        {
+            this->normal = Normalize(CrossP(p1, p2));
+            this->d = DotP(this->normal, p3);
+        }
     };
 
+    /**
+     * Get dot product between two planes
+     * 
+     * @param(pl1) Plane one
+     * @param(pl2) Plane two
+     */
+
+    template<RealType T>
+    FORCEINLINE T PlaneDotP(const TPlane<T>& pl1, const TPlane<T>& pl2)
+    {
+        return DotP(pl1.normal, pl2.normal);
+    }
+
+    /**
+     * Get angle between two planes
+     *
+     * @param(pl1) Plane one
+     * @param(pl2) Plane two
+     */
+
+    template<RealType T>
+    FORCEINLINE T PlaneAngle(const TPlane<T>& pl1, const TPlane<T>& pl2)
+    {
+        return Angle(pl1.normal, pl2.normal);
+    }
+
+    /**
+     * Get cosine of angle between two planes
+     *
+     * @param(pl1) Plane one
+     * @param(pl2) Plane two
+     */
+
+    template<RealType T>
+    FORCEINLINE T PlaneCosAngle(const TPlane<T>& pl1, const TPlane<T>& pl2)
+    {
+        return CosineAngle(pl1.normal, pl2.normal);
+    }
+
+    /**
+     * Flip plane.
+     *
+     * @param(pl1) Plane 
+     */
+
+    template<RealType T>
+    TPlane<T> FlipV(const TPlane<T>& pl1)
+    {
+        pl1.normal = -pl1.normal;
+        pl1.d      = -pl1.d;
+    }
+
+
+    /**
+     * Get flipped plane.
+     *
+     * @param(pl1) Plane
+     * 
+     * @return Flipped plane
+     */
+
+    template<RealType T>
+    TPlane<T> Flip(const TPlane<T>& pl1)
+    {
+        return TPlane<T>(-pl1.normal, -pl1.d);
+    }
+
+    /**
+     * Transform plane with Transform
+     * 
+     * @param(pl) Plane
+     * @param(tr) Transform
+     */
+
+    template<RealType T>
+    FORCEINLINE TPlane<T> TransformV(TPlane<T>& pl, const TTransform<T>& tr)
+    {
+        // TODO: Do with operator*
+    }
+
+
+    /**
+     * Transform plane with Transform
+     *
+     * @param(pl) Plane
+     * @param(tr) Transform
+     * 
+     * @return Transformed plane.
+     */
+
+    template<RealType T>
+    FORCEINLINE TPlane<T> Transform(const TPlane<T>& pl, const TTransform<T>& tr)
+    {
+        // TODO: Do with operator*
+    }
+
     /**
      * Projects vector onto plane
      *