Shapes: added InvertedSphere shape.

src/Shapes/Composition.h

@@ -79,6 +79,7 @@ template<UnsignedInt dimensions> class MAGNUM_SHAPES_EXPORT Composition {
             Line,           /**< Line */
             LineSegment,    /**< @ref LineSegment "Line segment" */
             Sphere,         /**< Sphere */
+            InvertedSphere, /**< @ref InvertedSphere "Inverted sphere" */
             Cylinder,       /**< @ref Cylinder */
             Capsule,        /**< Capsule */
             AxisAlignedBox, /**< @ref AxisAlignedBox "Axis aligned box" */

src/Shapes/Shapes.h

@@ -78,6 +78,10 @@ template<UnsignedInt> class Sphere;
 typedef Sphere<2> Sphere2D;
 typedef Sphere<3> Sphere3D;
 
+template<UnsignedInt> class InvertedSphere;
+typedef InvertedSphere<2> InvertedSphere2D;
+typedef InvertedSphere<3> InvertedSphere3D;
+
 class Plane;
 
 template<UnsignedInt> class Point;

src/Shapes/Sphere.cpp

@@ -102,6 +102,8 @@ template<UnsignedInt dimensions> Collision<dimensions> Sphere<dimensions>::opera
 #ifndef DOXYGEN_GENERATING_OUTPUT
 template class MAGNUM_SHAPES_EXPORT Sphere<2>;
 template class MAGNUM_SHAPES_EXPORT Sphere<3>;
+template class MAGNUM_SHAPES_EXPORT InvertedSphere<2>;
+template class MAGNUM_SHAPES_EXPORT InvertedSphere<3>;
 #endif
 
 }}

src/Shapes/Sphere.h

@@ -109,6 +109,53 @@ typedef Sphere<2> Sphere2D;
 /** @brief Three-dimensional sphere */
 typedef Sphere<3> Sphere3D;
 
+/**
+@brief Inverted sphere defined by position and radius
+
+Inverted version of @ref Sphere, detecting collisions on the outside, not on
+the inside. See @ref shapes for brief introduction.
+@see @ref InvertedSphere2D, @ref InvertedSphere3D
+*/
+template<UnsignedInt dimensions> class MAGNUM_SHAPES_EXPORT InvertedSphere:
+    #ifdef DOXYGEN_GENERATING_OUTPUT
+    public Sphere<dimensions>
+    #else
+    private Sphere<dimensions>
+    #endif
+{
+    public:
+        /**
+         * @brief Default constructor
+         *
+         * Creates zero-sized sphere at origin.
+         */
+        constexpr /*implicit*/ InvertedSphere() = default;
+
+        /** @brief Constructor */
+        constexpr /*implicit*/ InvertedSphere(const typename DimensionTraits<dimensions, Float>::VectorType& position, Float radius): Sphere<dimensions>(position, radius) {}
+
+        using Sphere<dimensions>::Dimensions;
+
+        /** @brief Transformed shape */
+        InvertedSphere<dimensions> transformed(const typename DimensionTraits<dimensions, Float>::MatrixType& matrix) const {
+            return Sphere<dimensions>::transformed(matrix);
+        }
+
+        using Sphere<dimensions>::position;
+        using Sphere<dimensions>::setPosition;
+        using Sphere<dimensions>::radius;
+        using Sphere<dimensions>::setRadius;
+
+    private:
+        constexpr /*implicit*/ InvertedSphere(const Sphere<dimensions>& other): Sphere<dimensions>(other) {}
+};
+
+/** @brief Inverted two-dimensional sphere */
+typedef InvertedSphere<2> InvertedSphere2D;
+
+/** @brief Inverted three-dimensional sphere */
+typedef InvertedSphere<3> InvertedSphere3D;
+
 /** @collisionoccurenceoperator{Point,Sphere} */
 template<UnsignedInt dimensions> inline bool operator%(const Point<dimensions>& a, const Sphere<dimensions>& b) { return b % a; }
 

src/Shapes/shapeImplementation.cpp

@@ -35,6 +35,7 @@ Debug operator<<(Debug debug, ShapeDimensionTraits<2>::Type value) {
         _val(Line)
         _val(LineSegment)
         _val(Sphere)
+        _val(InvertedSphere)
         _val(Capsule)
         _val(Cylinder)
         _val(AxisAlignedBox)
@@ -53,6 +54,7 @@ Debug operator<<(Debug debug, ShapeDimensionTraits<3>::Type value) {
         _val(Line)
         _val(LineSegment)
         _val(Sphere)
+        _val(InvertedSphere)
         _val(Capsule)
         _val(Cylinder)
         _val(AxisAlignedBox)

src/Shapes/shapeImplementation.h

@@ -62,11 +62,12 @@ template<> struct ShapeDimensionTraits<2> {
         Line = 2,
         LineSegment = 3,
         Sphere = 5,
-        Cylinder = 7,
-        Capsule = 11,
-        AxisAlignedBox = 13,
-        Box = 17,
-        Composition = 19
+        InvertedSphere = 7,
+        Cylinder = 11,
+        Capsule = 13,
+        AxisAlignedBox = 17,
+        Box = 19,
+        Composition = 23
     };
 };
 
@@ -76,12 +77,13 @@ template<> struct ShapeDimensionTraits<3> {
         Line = 2,
         LineSegment = 3,
         Sphere = 5,
-        Cylinder = 7,
-        Capsule = 11,
-        AxisAlignedBox = 13,
-        Box = 17,
-        Plane = 19,
-        Composition = 23
+        InvertedSphere = 7,
+        Cylinder = 11,
+        Capsule = 13,
+        AxisAlignedBox = 17,
+        Box = 19,
+        Plane = 23,
+        Composition = 29
     };
 };
 
@@ -112,6 +114,11 @@ template<UnsignedInt dimensions> struct TypeOf<Shapes::Sphere<dimensions>> {
         return ShapeDimensionTraits<dimensions>::Type::Sphere;
     }
 };
+template<UnsignedInt dimensions> struct TypeOf<Shapes::InvertedSphere<dimensions>> {
+    constexpr static typename ShapeDimensionTraits<dimensions>::Type type() {
+        return ShapeDimensionTraits<dimensions>::Type::InvertedSphere;
+    }
+};
 template<UnsignedInt dimensions> struct TypeOf<Shapes::Cylinder<dimensions>> {
     constexpr static typename ShapeDimensionTraits<dimensions>::Type type() {
         return ShapeDimensionTraits<dimensions>::Type::Cylinder;