Add Plane::ProjectToNegativeHalf ProjectToPositiveHalf

include/J3ML/Geometry/Plane.h

@@ -8,14 +8,17 @@ namespace J3ML::Geometry
 {
     using J3ML::LinearAlgebra::Vector3;
 
-    class Plane : public Shape
+    class Plane
     {
     public:
         Vector3 Position;
         Vector3 Normal;
         float distance = 0.f;
     public:
-        Plane() : Shape() {}
+        Plane() {}
+        /// Constructs a plane by directly specifying the normal and distance parameters.
+        Plane(const Vector3& normal, float d);
+
         Plane(const Vector3& v1, const Vector3 &v2, const Vector3& v3);
         Plane(const Vector3& pos, const Vector3& norm);
         Plane(const Line &line, const Vector3 &normal);
@@ -82,5 +85,22 @@ namespace J3ML::Geometry
         LineSegment Project(const LineSegment &segment);
 
         Vector3 Project(const Vector3 &point) const;
+
+
+        /// Projects the given point to the negative half-space of this plane.
+        Vector3 ProjectToNegativeHalf(const Vector3& point) const;
+
+        /// Projects the given point to the positive half-space of this plane.
+        Vector3 ProjectToPositiveHalf(const Vector3& point) const;
+
+
+        bool IsParallel(const Plane& plane, float epsilon = 1e-3f) const {
+            return Normal.Equals(plane.Normal, epsilon);
+        }
+
+        /// Returns true if the two planes are equal, and their normals are oriented to the same direction.
+        bool Equals(const Plane& other, float epsilon = 1e-3f) const {
+            return IsParallel(other, epsilon) && Math::EqualAbs(distance, other.distance, epsilon);
+        }
     };
 }