Large Restructure and Organization

include/J3ML/Geometry/Sphere.h

@@ -1,15 +1,70 @@
 #pragma once
 
-#include "J3ML/Geometry.h"
+#include <J3ML/Geometry.h>
+#include <J3ML/LinearAlgebra/Matrix3x3.h>
+#include <J3ML/LinearAlgebra/Matrix4x4.h>
+#include <J3ML/Geometry/LineSegment.h>
+#include <J3ML/Geometry/TriangleMesh.h>
 
 namespace J3ML::Geometry
 {
+    using J3ML::LinearAlgebra::Matrix3x3;
+    using J3ML::LinearAlgebra::Matrix4x4;
+
+    // A mathematical representation of a 3-dimensional sphere
     class Sphere
     {
     public:
-        Sphere(const Vector3& pos, float radius)
+        Vector3 Position;
+        float Radius;
+        Sphere() {}
+        Sphere(const Vector3& pos, float radius) : Position(pos), Radius(radius) {}
+        void Translate(const Vector3& offset)
+        {
+            Position = Position + offset;
+        }
+        void Transform(const Matrix3x3& transform)
+        {
+            Position = transform * Position;
+        }
+        void Transform(const Matrix4x4& transform)
+        {
+            Position = transform * Position;
+        }
+        inline float Cube(float inp) const
+        {
+            return inp*inp*inp;
+        }
+        float Volume() const
+        {
+            return 4.f * M_PI * Cube(Radius) / 3.f;
+        }
+        float SurfaceArea() const
+        {
+            return 4.f * M_PI * Cube(Radius) / 3.f;
+        }
+        bool IsFinite() const
+        {
+            return Position.IsFinite() && std::isfinite(Radius);
+        }
+        bool IsDegenerate()
+        {
+            return !(Radius > 0.f) || !Position.IsFinite();
+        }
+        bool Contains(const Vector3& point) const
+        {
+            return Position.DistanceSquared(point) <= Radius*Radius;
+        }
+        bool Contains(const Vector3& point, float epsilon) const
+        {
+            return Position.DistanceSquared(point) <= Radius*Radius + epsilon;
+        }
+        bool Contains(const LineSegment& lineseg)  const
         {
 
         }
+        TriangleMesh GenerateUVSphere() const {}
+        TriangleMesh GenerateIcososphere() const {}
+
     };
 }