Point, line, sphere, ring, ellipsoid, and related primitive geometry types. More...

Concepts
concept	mundy::ValidAABBType
	Concept to determine if a type is a valid AABB type.
concept	mundy::ValidCircle3DType
	Concept to determine if a type is a valid Circle3D type.
concept	mundy::ValidEllipsoidType
	Concept to check if a type is an Ellipsoid.
concept	mundy::ValidLineType
	Concept to check if a type is a valid Line type.
concept	mundy::ValidLineSegmentType
	Concept to check if a type is a valid LineSegment type.
concept	mundy::ValidOBBType
concept	mundy::ValidPointType
	Concept to check if a type has the necessary properties to be a valid Point type As a predicate to creating a new point type, specialize is_point for the new type.
concept	mundy::ValidRingType
	Concept to check if a type is a valid Ring type.
concept	mundy::ValidSphereType
	Concept to check if a type is a valid Sphere type.
concept	mundy::ValidSpherocylinderType
	Concept to check if a type is a valid Spherocylinder type.
concept	mundy::ValidSpherocylinderSegmentType
	Concept to check if a type is a valid SpherocylinderSegment type.
concept	mundy::FinitePrimitive
	Concept: satisfied by primitives with finite spatial extent (is_finite == true).
concept	mundy::ValidVSegmentType
	Concept to check if a type is a valid VSegment type.

Classes
class	mundy::AABB< Scalar, MinPointType, MaxPointType >
class	mundy::Circle3D< Scalar, PointType, QuaternionType >
class	mundy::Ellipsoid< Scalar, PointType, OrientationType >
class	mundy::Line< Scalar, PointType >
class	mundy::LineSegment< Scalar, StartPointType, EndPointType >
class	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >
	Oriented Bounding Box: a center, a unit-quaternion orientation, and per-axis half-extents. More...
struct	mundy::is_obb< T >
class	mundy::Ring< Scalar, PointType, QuaternionType >
class	mundy::Sphere< Scalar, PointType >
class	mundy::Spherocylinder< Scalar, PointType, QuaternionType >
class	mundy::SpherocylinderSegment< Scalar, PointType >
struct	mundy::is_finite< T, typename >
	Trait: does a primitive type have finite spatial extent? More...
struct	mundy::is_finite< T, std::void_t< decltype(std::remove_cv_t< T >::is_finite)> >
class	mundy::VSegment< Scalar, PointType >

Typedefs
template<typename Scalar, ValidAccessor< Scalar > Accessor = Array<Scalar, 3>>
using	mundy::APoint = AVector3<Scalar, Accessor>
	A point in 3D space.
template<typename Scalar>
using	mundy::Point = APoint<Scalar>

Variables
template<typename T>
constexpr bool	mundy::is_aabb_v = is_aabb<T>::value
template<typename T>
constexpr bool	mundy::is_circle3d_v = is_circle3d<T>::value
template<typename T>
constexpr bool	mundy::is_ellipsoid_v = is_ellipsoid<T>::value
template<typename T>
constexpr bool	mundy::is_line_v = is_line<T>::value
template<typename T>
constexpr bool	mundy::is_line_segment_v = is_line_segment<T>::value
template<typename T>
constexpr bool	mundy::is_obb_v = is_obb<T>::value
template<typename T>
constexpr bool	mundy::is_point_v = is_point<T>::value
template<typename T>
constexpr bool	mundy::is_ring_v = is_ring<T>::value
template<typename T>
constexpr bool	mundy::is_sphere_v = is_sphere<T>::value
template<typename T>
constexpr bool	mundy::is_spherocylinder_v = is_spherocylinder<T>::value
template<typename T>
constexpr bool	mundy::is_spherocylinder_segment_v = is_spherocylinder_segment<T>::value
template<typename T>
constexpr bool	mundy::is_finite_v = is_finite<T>::value
template<typename T>
constexpr bool	mundy::is_v_segment_v = is_v_segment<T>::value

Type aliases
using	mundy::AABB< Scalar, MinPointType, MaxPointType >::value_type = Scalar
	Our scalar type.
using	mundy::AABB< Scalar, MinPointType, MaxPointType >::min_point_t = MinPointType
	Our point type for the min corner.
using	mundy::AABB< Scalar, MinPointType, MaxPointType >::max_point_t = MaxPointType
	Our point type for the max corner.
static constexpr bool	mundy::AABB< Scalar, MinPointType, MaxPointType >::is_finite = true

Type aliases
using	mundy::Circle3D< Scalar, PointType, QuaternionType >::value_type = Scalar
	Our scalar type.
using	mundy::Circle3D< Scalar, PointType, QuaternionType >::point_t = PointType
	Our point type.
using	mundy::Circle3D< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType
	Our orientation type.
static constexpr bool	mundy::Circle3D< Scalar, PointType, QuaternionType >::is_finite = true

Type aliases
using	mundy::Ellipsoid< Scalar, PointType, OrientationType >::value_type = Scalar
	Our scalar type.
using	mundy::Ellipsoid< Scalar, PointType, OrientationType >::point_t = PointType
	Our point type.
using	mundy::Ellipsoid< Scalar, PointType, OrientationType >::orientation_t = OrientationType
	Our quaternion type.
static constexpr bool	mundy::Ellipsoid< Scalar, PointType, OrientationType >::is_finite = true

Type aliases
using	mundy::Line< Scalar, PointType >::value_type = Scalar
	Our scalar type.
using	mundy::Line< Scalar, PointType >::point_t = PointType
	Our point type.
using	mundy::Line< Scalar, PointType >::vector_t = PointType
	Our vector type.
static constexpr bool	mundy::Line< Scalar, PointType >::is_finite = false

Type aliases
using	mundy::LineSegment< Scalar, StartPointType, EndPointType >::value_type = Scalar
	Our scalar type.
using	mundy::LineSegment< Scalar, StartPointType, EndPointType >::start_point_t = StartPointType
	Our point type for the start point.
using	mundy::LineSegment< Scalar, StartPointType, EndPointType >::end_point_t = EndPointType
	Our point type for the end point.
static constexpr bool	mundy::LineSegment< Scalar, StartPointType, EndPointType >::is_finite = true

Type aliases
using	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::value_type = Scalar
using	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::point_t = PointType
using	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::orientation_t = QuaternionType
using	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extents_t = HalfExtentsType
static constexpr bool	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::is_finite = true

Type aliases
using	mundy::Ring< Scalar, PointType, QuaternionType >::value_type = Scalar
	Our scalar type.
using	mundy::Ring< Scalar, PointType, QuaternionType >::point_t = PointType
	Our point type.
using	mundy::Ring< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType
	Our orientation type.
static constexpr bool	mundy::Ring< Scalar, PointType, QuaternionType >::is_finite = true

Type aliases
using	mundy::Sphere< Scalar, PointType >::value_type = Scalar
	Our scalar type.
using	mundy::Sphere< Scalar, PointType >::point_t = PointType
	Our point type.
static constexpr bool	mundy::Sphere< Scalar, PointType >::is_finite = true

Type aliases
using	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::value_type = Scalar
	Our scalar type.
using	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::point_t = PointType
	Our point type.
using	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType
	Our orientation type.
static constexpr bool	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::is_finite = true

Type aliases
using	mundy::SpherocylinderSegment< Scalar, PointType >::value_type = Scalar
	Our scalar type.
using	mundy::SpherocylinderSegment< Scalar, PointType >::point_t = PointType
	Our point type.
static constexpr bool	mundy::SpherocylinderSegment< Scalar, PointType >::is_finite = true

Type aliases
using	mundy::VSegment< Scalar, PointType >::value_type = Scalar
	Our scalar type.
using	mundy::VSegment< Scalar, PointType >::point_t = PointType
	Our point type.
static constexpr bool	mundy::VSegment< Scalar, PointType >::is_finite = true

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::Circle3D< Scalar, PointType, QuaternionType >::set_center (const OtherPointType &center)
	Set the center.
constexpr void	mundy::Circle3D< Scalar, PointType, QuaternionType >::set_center (const value_type &x, const value_type &y, const value_type &z)
	Set the center.
constexpr void	mundy::Circle3D< Scalar, PointType, QuaternionType >::set_orientation (const orientation_t &orientation)
	Set the orientation.
constexpr void	mundy::Circle3D< Scalar, PointType, QuaternionType >::set_orientation (const value_type &qw, const value_type &qx, const value_type &qy, const value_type &qz)
	Set the orientation.
constexpr void	mundy::Circle3D< Scalar, PointType, QuaternionType >::set_radius (const value_type &radius)
	Set the major radius.

Setters
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_center (const point_t &center)
	Set the center.
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_center (const value_type &x, const value_type &y, const value_type &z)
	Set the center.
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_orientation (const orientation_t &orientation)
	Set the orientation.
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_orientation (const value_type &qw, const value_type &qx, const value_type &qy, const value_type &qz)
	Set the orientation.
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_radii (const point_t &radii)
	Set the radii.
constexpr void	mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_radii (const value_type &radius_1, const value_type &radius_2, const value_type &radius_3)
	Set the radii.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::Line< Scalar, PointType >::set_center (const OtherPointType &center)
	Set the center.
constexpr void	mundy::Line< Scalar, PointType >::set_center (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the center.
template<ValidVectorType OtherVectorType>
constexpr void	mundy::Line< Scalar, PointType >::set_direction (const OtherVectorType &direction)
	Set the direction.
constexpr void	mundy::Line< Scalar, PointType >::set_direction (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the direction.

Friends <3
template<typename, ValidPointType, ValidPointType>
class	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment

Setters
template<typename, ValidPointType, ValidQuaternionType, ValidVector3Type>
class	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB
template<ValidPointType OtherPointType>
constexpr void	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::set_center (const OtherPointType &c)
template<ValidQuaternionType OtherQuatType>
constexpr void	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::set_orientation (const OtherQuatType &q)
template<ValidVector3Type OtherVecType>
constexpr void	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::set_half_extents (const OtherVecType &he)
constexpr void	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::set_half_extents (const value_type &hx, const value_type &hy, const value_type &hz)

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_center (const OtherPointType &center)
	Set the center.
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_center (const value_type &x, const value_type &y, const value_type &z)
	Set the center.
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_orientation (const orientation_t &orientation)
	Set the orientation.
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_orientation (const value_type &qw, const value_type &qx, const value_type &qy, const value_type &qz)
	Set the orientation.
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_major_radius (const value_type &major_radius)
	Set the major radius.
constexpr void	mundy::Ring< Scalar, PointType, QuaternionType >::set_minor_radius (const value_type &minor_radius)
	Set the minor radius.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::Sphere< Scalar, PointType >::set_center (const OtherPointType &center)
	Set the center.
constexpr void	mundy::Sphere< Scalar, PointType >::set_center (const value_type &x, const value_type &y, const value_type &z)
	Set the center.
constexpr void	mundy::Sphere< Scalar, PointType >::set_radius (const value_type &radius)
	Set the radius.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_center (const OtherPointType &center)
	Set the center.
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_center (const value_type &x, const value_type &y, const value_type &z)
	Set the center.
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_orientation (const orientation_t &orientation)
	Set the orientation.
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_orientation (const value_type &qw, const value_type &qx, const value_type &qy, const value_type &qz)
	Set the orientation.
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_radius (const value_type &radius)
	Set the radius.
constexpr void	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_length (const value_type &length)
	Set the length.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::SpherocylinderSegment< Scalar, PointType >::set_start (const OtherPointType &start)
	Set the start point.
constexpr void	mundy::SpherocylinderSegment< Scalar, PointType >::set_start (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the start point.
template<ValidPointType OtherPointType>
constexpr void	mundy::SpherocylinderSegment< Scalar, PointType >::set_end (const OtherPointType &end)
	Set the end point.
constexpr void	mundy::SpherocylinderSegment< Scalar, PointType >::set_end (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the end point.
constexpr void	mundy::SpherocylinderSegment< Scalar, PointType >::set_radius (const value_type &radius)
	Set the radius.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::VSegment< Scalar, PointType >::set_start (const OtherPointType &start)
	Set the start point.
constexpr void	mundy::VSegment< Scalar, PointType >::set_start (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the start point.
template<ValidPointType OtherPointType>
constexpr void	mundy::VSegment< Scalar, PointType >::set_middle (const OtherPointType &middle)
	Set the middle point.
constexpr void	mundy::VSegment< Scalar, PointType >::set_middle (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the middle point.
template<ValidPointType OtherPointType>
constexpr void	mundy::VSegment< Scalar, PointType >::set_end (const OtherPointType &end)
	Set the end point.
constexpr void	mundy::VSegment< Scalar, PointType >::set_end (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the end point.

Friends <3
template<typename, ValidPointType, ValidPointType>
class	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB

Constructors and destructor
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB ()
	Default constructor (enabled when both points are default constructible). Initializes the aabb inside-out so nothing can be inside this aabb.
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (const min_point_t &min_corner, const max_point_t &max_corner)
	Constructor to directly set the min and max corners.
template<ValidPointType OtherPointType1, ValidPointType OtherPointType2>
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (const OtherPointType1 &min_corner, const OtherPointType2 &max_corner)
	Constructor to directly set the min and max corners.
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (value_type x_min, value_type y_min, value_type z_min, value_type x_max, value_type y_max, value_type z_max)
	Constructor to directly set the min and max corners.
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::~AABB ()=default
	Destructor.
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (const AABB< value_type, min_point_t, max_point_t > &other)
	Deep copy constructor.
template<typename OtherAABBType>
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (const OtherAABBType &other)
	Deep copy constructor.
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (AABB< value_type, min_point_t, max_point_t > &&other)
	Deep move constructor.
template<typename OtherAABBType>
constexpr	mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB (OtherAABBType &&other)
	Deep move constructor.

Operators
constexpr AABB< value_type, min_point_t, max_point_t > &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator= (const AABB< value_type, min_point_t, max_point_t > &other)
	Copy assignment operator.
template<typename OtherAABBType>
constexpr AABB< value_type, min_point_t, max_point_t > &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator= (const OtherAABBType &other)
	Copy assignment operator.
constexpr AABB< value_type, min_point_t, max_point_t > &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator= (AABB< value_type, min_point_t, max_point_t > &&other)
	Move assignment operator.
template<typename OtherAABBType>
constexpr AABB< value_type, min_point_t, max_point_t > &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator= (OtherAABBType &&other)
	Move assignment operator.

Accessors
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator[] (const size_t &i) const
	Accesses the AABB as though it were an array of size 6 with the min then max corners.
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::operator[] (const size_t &i)
	Accesses the AABB as though it were an array of size 6 with the min then max corners.
constexpr const min_point_t &	mundy::AABB< Scalar, MinPointType, MaxPointType >::min_corner () const
constexpr min_point_t &	mundy::AABB< Scalar, MinPointType, MaxPointType >::min_corner ()
constexpr const max_point_t &	mundy::AABB< Scalar, MinPointType, MaxPointType >::max_corner () const
constexpr max_point_t &	mundy::AABB< Scalar, MinPointType, MaxPointType >::max_corner ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::x_min () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::x_min ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::y_min () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::y_min ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::z_min () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::z_min ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::x_max () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::x_max ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::y_max () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::y_max ()
constexpr const value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::z_max () const
constexpr value_type &	mundy::AABB< Scalar, MinPointType, MaxPointType >::z_max ()

Casting
template<typename U>
constexpr auto	mundy::AABB< Scalar, MinPointType, MaxPointType >::cast () const
	Cast (and copy) the AABB to a different scalar type.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::AABB< Scalar, MinPointType, MaxPointType >::set_min_corner (const OtherPointType &min_corner)
	Set the minimum corner.
constexpr void	mundy::AABB< Scalar, MinPointType, MaxPointType >::set_min_corner (const value_type &x, const value_type &y, const value_type &z)
	Set the minimum corner.
template<ValidPointType OtherPointType>
constexpr void	mundy::AABB< Scalar, MinPointType, MaxPointType >::set_max_corner (const OtherPointType &max_corner)
	Set the maximum corner.
constexpr void	mundy::AABB< Scalar, MinPointType, MaxPointType >::set_max_corner (const value_type &x, const value_type &y, const value_type &z)
	Set the maximum corner.

Non-member functions for ValidAABBType objects
template<ValidAABBType T1, ValidAABBType T2>
constexpr bool	mundy::is_close (const T1 &a1, const T2 &a2, typename T1::value_type tol=get_comparison_tolerance< typename T1::value_type, typename T2::value_type >())
	Element-wise approximate equality (within a tolerance).
template<ValidAABBType T1, ValidAABBType T2>
constexpr bool	mundy::is_approx_close (const T1 &a1, const T2 &a2, typename T1::value_type tol=get_relaxed_comparison_tolerance< typename T1::value_type, typename T2::value_type >())
	Element-wise approximate equality (within a relaxed tolerance).
template<ValidAABBType AABBType>
std::ostream &	mundy::operator<< (std::ostream &os, const AABBType &aabb)
template<ValidAABBType AABBType1, ValidAABBType AABBType2>
constexpr bool	mundy::intersects (const AABBType1 &aabb1, const AABBType2 &aabb2)
	Check if two AABBs intersect.

Point visitation
template<ValidAABBType T, typename Functor>
void	mundy::for_each_point (const T &aabb, Functor &&f)
	Visit each geometric point of an AABB (min_corner, max_corner).
template<ValidAABBType T, typename Functor>
void	mundy::for_each_point_mutable (T &aabb, Functor &&f)
	Visit and mutate each geometric point of an AABB.
template<ValidPointType PointT, typename Functor>
void	mundy::for_each_point (const PointT &pt, Functor &&f)
	Visit each geometric point of a Point (the point itself).
template<ValidPointType PointT, typename Functor>
void	mundy::for_each_point_mutable (PointT &pt, Functor &&f)
	Visit and mutate each geometric point of a Point.

Constructors and destructor
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D ()
	Default constructor. Initializes as invalid.
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (const point_t &center, const orientation_t &orientation, const value_type &radius)
	Constructor to initialize the circle3d.
template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (const OtherPointType &center, const OtherQuaternionType &orientation, const value_type &radius)
	Constructor to initialize the circle3d.
	mundy::Circle3D< Scalar, PointType, QuaternionType >::~Circle3D ()=default
	Destructor.
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (const Circle3D< value_type, point_t, orientation_t > &other)
	Deep copy constructor.
template<typename OtherCircle3DType>
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (const OtherCircle3DType &other)
	Deep copy constructor with different circle3d type.
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (Circle3D< value_type, point_t, orientation_t > &&other)
	Deep move constructor.
template<typename OtherCircle3DType>
constexpr	mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D (OtherCircle3DType &&other)
	Deep move constructor.

Operators
constexpr Circle3D< value_type, point_t, orientation_t > &	mundy::Circle3D< Scalar, PointType, QuaternionType >::operator= (const Circle3D< value_type, point_t, orientation_t > &other)
	Copy assignment operator.
template<typename OtherCircle3DType>
constexpr Circle3D< value_type, point_t, orientation_t > &	mundy::Circle3D< Scalar, PointType, QuaternionType >::operator= (const OtherCircle3DType &other)
	Copy assignment operator.
constexpr Circle3D< value_type, point_t, orientation_t > &	mundy::Circle3D< Scalar, PointType, QuaternionType >::operator= (Circle3D< value_type, point_t, orientation_t > &&other)
	Move assignment operator.
template<typename OtherCircle3DType>
constexpr Circle3D< value_type, point_t, orientation_t > &	mundy::Circle3D< Scalar, PointType, QuaternionType >::operator= (OtherCircle3DType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::Circle3D< Scalar, PointType, QuaternionType >::center () const
constexpr point_t &	mundy::Circle3D< Scalar, PointType, QuaternionType >::center ()
constexpr const orientation_t &	mundy::Circle3D< Scalar, PointType, QuaternionType >::orientation () const
constexpr orientation_t &	mundy::Circle3D< Scalar, PointType, QuaternionType >::orientation ()
constexpr const value_type &	mundy::Circle3D< Scalar, PointType, QuaternionType >::radius () const
constexpr value_type &	mundy::Circle3D< Scalar, PointType, QuaternionType >::radius ()

Non-member functions for ValidCircle3DType objects
template<ValidCircle3DType Circle3DType>
std::ostream &	mundy::operator<< (std::ostream &os, const Circle3DType &circle3d)
	OStream operator.

Constructors and destructor
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid ()
	Default constructor. Default initializes center/orientation and sets axis radii to invalid values.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const point_t &center, const value_type &radius_1, const value_type &radius_2, const value_type &radius_3)
	Constructor to initialize the center and radii.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const value_type &x, const value_type &y, const value_type &z, const value_type &qw, const value_type &qx, const value_type &qy, const value_type &qz, const value_type &radius_1, const value_type &radius_2, const value_type &radius_3)
	Constructor to initialize the center and axis radii.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const point_t &center, const orientation_t &orientation, const point_t &radii)
	Constructor to initialize the center and axis radii.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const point_t &center, const orientation_t &orientation, const value_type &radius_1, const value_type &radius_2, const value_type &radius_3)
	Constructor to initialize the center and axis radii.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::~Ellipsoid ()=default
	Destructor.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const Ellipsoid< value_type, point_t, orientation_t > &other)
	Deep copy constructor.
template<typename OtherEllipsoidType>
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (const OtherEllipsoidType &other)
	Deep copy constructor with different ellipsoid type.
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (Ellipsoid< value_type, point_t, orientation_t > &&other)
	Deep move constructor.
template<typename OtherEllipsoidType>
constexpr	mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid (OtherEllipsoidType &&other)
	Deep move constructor with different ellipsoid type.

Operators
constexpr Ellipsoid< value_type, point_t, orientation_t > &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::operator= (const Ellipsoid< value_type, point_t, orientation_t > &other)
	Copy assignment operator.
template<typename OtherEllipsoidType>
constexpr Ellipsoid< value_type, point_t, orientation_t > &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::operator= (const OtherEllipsoidType &other)
	Copy assignment operator with different ellipsoid type.
constexpr Ellipsoid< value_type, point_t, orientation_t > &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::operator= (Ellipsoid< value_type, point_t, orientation_t > &&other)
	Move assignment operator.
template<typename OtherEllipsoidType>
constexpr Ellipsoid< value_type, point_t, orientation_t > &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::operator= (OtherEllipsoidType &&other)
	Move assignment operator with different ellipsoid type.

Accessors
constexpr const point_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::center () const
	Accessor for the center.
constexpr point_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::center ()
	Accessor for the center.
constexpr const orientation_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::orientation () const
	Accessor for the orientation.
constexpr orientation_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::orientation ()
	Accessor for the orientation.
constexpr const point_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radii () const
	Accessor for the radii.
constexpr point_t &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radii ()
	Accessor for the radii.
constexpr const value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_1 () const
	Accessor for the first axis length.
constexpr value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_1 ()
	Accessor for the first axis length.
constexpr const value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_2 () const
	Accessor for the second axis length.
constexpr value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_2 ()
	Accessor for the second axis length.
constexpr const value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_3 () const
	Accessor for the third axis length.
constexpr value_type &	mundy::Ellipsoid< Scalar, PointType, OrientationType >::radius_3 ()
	Accessor for the third axis length.

Non-member functions for ValidSphereType objects
template<ValidEllipsoidType EllipsoidType>
std::ostream &	mundy::operator<< (std::ostream &os, const EllipsoidType &ellipsoid)
	OStream operator.
template<ValidEllipsoidType EllipsoidType>
constexpr Point< typename EllipsoidType::value_type >	mundy::map_body_frame_normal_to_ellipsoid (const Vector3< typename EllipsoidType::value_type > &body_frame_nhat, const EllipsoidType &ellipsoid)
template<typename Scalar, ValidAccessor< Scalar > Accessor1, ValidEllipsoidType EllipsoidType>
constexpr Vector3< Scalar >	mundy::map_surface_normal_to_foot_point_on_ellipsoid (const AVector3< Scalar, Accessor1 > &lab_frame_ellipsoid_nhat, const EllipsoidType &ellipsoid)
template<ValidSphereType SphereType>
std::ostream &	mundy::operator<< (std::ostream &os, const SphereType &sphere)
	OStream operator.

Constructors and destructor
constexpr	mundy::Line< Scalar, PointType >::Line ()
	Default constructor for owning Lines. Default initialize the.
constexpr	mundy::Line< Scalar, PointType >::Line (const point_t &center, const vector_t &direction)
	Constructor to initialize the center and radius.
template<ValidPointType OtherPointType, ValidVectorType OtherVectorType>
constexpr	mundy::Line< Scalar, PointType >::Line (const OtherPointType &center, const OtherVectorType &direction)
	Constructor to initialize the center and radius.
constexpr	mundy::Line< Scalar, PointType >::~Line ()=default
	Destructor.
constexpr	mundy::Line< Scalar, PointType >::Line (const Line< value_type, point_t > &other)
	Deep copy constructor.
template<typename OtherLineType>
constexpr	mundy::Line< Scalar, PointType >::Line (const OtherLineType &other)
	Deep copy constructor.
constexpr	mundy::Line< Scalar, PointType >::Line (Line< value_type, point_t > &&other)
	Deep move constructor.
template<typename OtherLineType>
constexpr	mundy::Line< Scalar, PointType >::Line (OtherLineType &&other)
	Deep move constructor.

Operators
constexpr Line< value_type, point_t > &	mundy::Line< Scalar, PointType >::operator= (const Line< value_type, point_t > &other)
	Copy assignment operator.
template<typename OtherLineType>
constexpr Line< value_type, point_t > &	mundy::Line< Scalar, PointType >::operator= (const OtherLineType &other)
	Copy assignment operator.
constexpr Line< value_type, point_t > &	mundy::Line< Scalar, PointType >::operator= (Line< value_type, point_t > &&other)
	Move assignment operator.
template<typename OtherLineType>
constexpr Line< value_type, point_t > &	mundy::Line< Scalar, PointType >::operator= (OtherLineType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::Line< Scalar, PointType >::center () const
	Accessor for the center.
constexpr point_t &	mundy::Line< Scalar, PointType >::center ()
	Accessor for the center.
constexpr const vector_t &	mundy::Line< Scalar, PointType >::direction () const
	Accessor for the direction.
constexpr vector_t &	mundy::Line< Scalar, PointType >::direction ()
	Accessor for the direction.

Non-member functions for ValidLineType objects
template<ValidLineType LineType>
std::ostream &	mundy::operator<< (std::ostream &os, const LineType &line)
	Output stream operator.

Constructors and destructor
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment ()
	Default constructor for owning LineSegments. Default initialize the start and end points.
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (const start_point_t &start, const end_point_t &end)
	Constructor to initialize the start and end points.
template<ValidPointType OtherStartPointType, ValidPointType OtherEndPointType>
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (const OtherStartPointType &start, const OtherEndPointType &end)
	Constructor to initialize the start and end points.
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::~LineSegment ()=default
	Destructor.
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (const LineSegment< value_type, start_point_t, end_point_t > &other)
	Deep copy constructor.
template<typename OtherLineSegmentType>
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (const OtherLineSegmentType &other)
	Deep copy constructor.
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (LineSegment< value_type, start_point_t, end_point_t > &&other)
	Deep move constructor.
template<typename OtherLineSegmentType>
constexpr	mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment (OtherLineSegmentType &&other)
	Deep move constructor.

Operators
constexpr LineSegment< value_type, start_point_t, end_point_t > &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::operator= (const LineSegment< value_type, start_point_t, end_point_t > &other)
	Copy assignment operator.
template<typename OtherLineSegmentType>
constexpr LineSegment< value_type, start_point_t, end_point_t > &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::operator= (const OtherLineSegmentType &other)
	Copy assignment operator.
constexpr LineSegment< value_type, start_point_t, end_point_t > &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::operator= (LineSegment< value_type, start_point_t, end_point_t > &&other)
	Move assignment operator.
template<typename OtherLineSegmentType>
constexpr LineSegment< value_type, start_point_t, end_point_t > &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::operator= (OtherLineSegmentType &&other)
	Move assignment operator.

Accessors
constexpr const start_point_t &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::start () const
	Accessor for the start.
constexpr start_point_t &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::start ()
	Accessor for the start.
constexpr const end_point_t &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::end () const
	Accessor for the end.
constexpr end_point_t &	mundy::LineSegment< Scalar, StartPointType, EndPointType >::end ()
	Accessor for the end.

Setters
template<ValidPointType OtherPointType>
constexpr void	mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_start (const OtherPointType &start)
	Set the start point.
constexpr void	mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_start (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the start point.
template<ValidPointType OtherPointType>
constexpr void	mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_end (const OtherPointType &end)
	Set the end point.
constexpr void	mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_end (const Scalar &x, const Scalar &y, const Scalar &z)
	Set the end point.

Non-member functions for ValidLineSegmentType objects
template<ValidLineSegmentType LineSegmentType>
std::ostream &	mundy::operator<< (std::ostream &os, const LineSegmentType &line_segment)
	OStream operator.

Constructors and destructor
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB ()
	Default constructor. Center and half-extents are zero-initialized; orientation is the identity quaternion; half-extents are set to the invalid sentinel -1.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB (const point_t &center, const value_type &half_extent)
	Construct from a center, identity orientation, and uniform half-extent.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB (const point_t &center, const orientation_t &orientation, const half_extents_t &half_extents)
	Construct from a center, orientation, and per-axis half-extents.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB (const point_t &center, const orientation_t &orientation, const value_type &hx, const value_type &hy, const value_type &hz)
	Construct from a center, orientation, and per-axis half-extents given as scalars.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::~OBB ()=default
	Destructor.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB (const OBB &other)
	Copy constructor.
constexpr	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB (OBB &&other)
	Move constructor.

Assignment operators
constexpr OBB &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::operator= (const OBB &other)
constexpr OBB &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::operator= (OBB &&other)

Accessors
constexpr const point_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::center () const
constexpr point_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::center ()
constexpr const orientation_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::orientation () const
constexpr orientation_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::orientation ()
constexpr const half_extents_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extents () const
constexpr half_extents_t &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extents ()
constexpr const value_type &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extent (int i) const
constexpr value_type &	mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extent (int i)

Intersection test
template<ValidOBBType OBBType1, ValidOBBType OBBType2>
constexpr bool	mundy::intersects (const OBBType1 &a, const OBBType2 &b)
	Test whether two OBBs overlap using the Separating Axis Theorem (SAT).

Stream output
template<ValidOBBType T>
std::ostream &	mundy::operator<< (std::ostream &os, const T &obb)

Constructors and destructor
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring ()
	Default constructor for owning Rings. Default initializes the center and sets the radius to an invalid value of -1.
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (const point_t &center, const orientation_t &orientation, const value_type &major_radius, const value_type &minor_radius)
	Constructor to initialize the ring.
template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (const OtherPointType &center, const OtherQuaternionType &orientation, const value_type &major_radius, const value_type &minor_radius)
	Constructor to initialize the ring.
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::~Ring ()=default
	Destructor.
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (const Ring< value_type, point_t, orientation_t > &other)
	Deep copy constructor.
template<typename OtherRingType>
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (const OtherRingType &other)
	Deep copy constructor with different ring type.
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (Ring< value_type, point_t, orientation_t > &&other)
	Deep move constructor.
template<typename OtherRingType>
constexpr	mundy::Ring< Scalar, PointType, QuaternionType >::Ring (OtherRingType &&other)
	Deep move constructor.

Operators
constexpr Ring< value_type, point_t, orientation_t > &	mundy::Ring< Scalar, PointType, QuaternionType >::operator= (const Ring< value_type, point_t, orientation_t > &other)
	Copy assignment operator.
template<typename OtherRingType>
constexpr Ring< value_type, point_t, orientation_t > &	mundy::Ring< Scalar, PointType, QuaternionType >::operator= (const OtherRingType &other)
	Copy assignment operator.
constexpr Ring< value_type, point_t, orientation_t > &	mundy::Ring< Scalar, PointType, QuaternionType >::operator= (Ring< value_type, point_t, orientation_t > &&other)
	Move assignment operator.
template<typename OtherRingType>
constexpr Ring< value_type, point_t, orientation_t > &	mundy::Ring< Scalar, PointType, QuaternionType >::operator= (OtherRingType &&other)
	Move assignment operator.

Accessors
constexpr const Circle3D< value_type, point_t, orientation_t > &	mundy::Ring< Scalar, PointType, QuaternionType >::center_circle () const
	Accessor for the center line (a Circle3D).
constexpr const point_t &	mundy::Ring< Scalar, PointType, QuaternionType >::center () const
	Accessor for the center.
constexpr point_t &	mundy::Ring< Scalar, PointType, QuaternionType >::center ()
	Accessor for the center.
constexpr const orientation_t &	mundy::Ring< Scalar, PointType, QuaternionType >::orientation () const
	Accessor for the orientation.
constexpr orientation_t &	mundy::Ring< Scalar, PointType, QuaternionType >::orientation ()
	Accessor for the orientation.
constexpr const value_type &	mundy::Ring< Scalar, PointType, QuaternionType >::major_radius () const
	Accessor for the major radius.
constexpr value_type &	mundy::Ring< Scalar, PointType, QuaternionType >::major_radius ()
	Accessor for the major radius.
constexpr const value_type &	mundy::Ring< Scalar, PointType, QuaternionType >::minor_radius () const
	Accessor for the minor radius.
constexpr value_type &	mundy::Ring< Scalar, PointType, QuaternionType >::minor_radius ()
	Accessor for the minor radius.

Non-member functions for ValidRingType objects
template<ValidRingType RingType>
std::ostream &	mundy::operator<< (std::ostream &os, const RingType &ring)
	OStream operator.

Constructors and destructor
constexpr	mundy::Sphere< Scalar, PointType >::Sphere ()
	Default constructor for owning Spheres. Default initializes the center and sets the radius to an invalid value of -1.
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (const point_t &center, const value_type &radius)
	Constructor to initialize the center and radius.
template<ValidPointType OtherPointType>
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (const OtherPointType &center, const value_type &radius)
	Constructor to initialize the center and radius.
constexpr	mundy::Sphere< Scalar, PointType >::~Sphere ()=default
	Destructor.
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (const Sphere< value_type, point_t > &other)
	Deep copy constructor.
template<typename OtherSphereType>
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (const OtherSphereType &other)
	Deep copy constructor with different sphere type.
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (Sphere< value_type, point_t > &&other)
	Deep move constructor.
template<typename OtherSphereType>
constexpr	mundy::Sphere< Scalar, PointType >::Sphere (OtherSphereType &&other)
	Deep move constructor.

Operators
constexpr Sphere< value_type, point_t > &	mundy::Sphere< Scalar, PointType >::operator= (const Sphere< value_type, point_t > &other)
	Copy assignment operator.
template<typename OtherSphereType>
constexpr Sphere< value_type, point_t > &	mundy::Sphere< Scalar, PointType >::operator= (const OtherSphereType &other)
	Copy assignment operator.
constexpr Sphere< value_type, point_t > &	mundy::Sphere< Scalar, PointType >::operator= (Sphere< value_type, point_t > &&other)
	Move assignment operator.
template<typename OtherSphereType>
constexpr Sphere< value_type, point_t > &	mundy::Sphere< Scalar, PointType >::operator= (OtherSphereType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::Sphere< Scalar, PointType >::center () const
	Accessor for the center.
constexpr point_t &	mundy::Sphere< Scalar, PointType >::center ()
	Accessor for the center.
constexpr const value_type &	mundy::Sphere< Scalar, PointType >::radius () const
	Accessor for the radius.
constexpr value_type &	mundy::Sphere< Scalar, PointType >::radius ()
	Accessor for the radius.

Constructors and destructor
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder ()
	Default constructor for owning Spherocylinders. Default initializes the center and sets the radius to an invalid value of -1.
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (const point_t &center, const orientation_t &orientation, const value_type &radius, const value_type &length)
	Constructor to initialize the center and radius.
template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (const OtherPointType &center, const OtherQuaternionType &orientation, const value_type &radius, const value_type &length)
	Constructor to initialize the center and radius.
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::~Spherocylinder ()=default
	Destructor.
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (const Spherocylinder< value_type, point_t, orientation_t > &other)
	Deep copy constructor.
template<typename OtherSpherocylinderType>
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (const OtherSpherocylinderType &other)
	Deep copy constructor with different spherocylinder type.
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (Spherocylinder< value_type, point_t, orientation_t > &&other)
	Deep move constructor.
template<typename OtherSpherocylinderType>
constexpr	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder (OtherSpherocylinderType &&other)
	Deep move constructor.

Operators
constexpr Spherocylinder< value_type, point_t, orientation_t > &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::operator= (const Spherocylinder< value_type, point_t, orientation_t > &other)
	Copy assignment operator.
template<typename OtherSpherocylinderType>
constexpr Spherocylinder< value_type, point_t, orientation_t > &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::operator= (const OtherSpherocylinderType &other)
	Copy assignment operator.
constexpr Spherocylinder< value_type, point_t, orientation_t > &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::operator= (Spherocylinder< value_type, point_t, orientation_t > &&other)
	Move assignment operator.
template<typename OtherSpherocylinderType>
constexpr Spherocylinder< value_type, point_t, orientation_t > &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::operator= (OtherSpherocylinderType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::center () const
	Accessor for the center.
constexpr point_t &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::center ()
	Accessor for the center.
constexpr const orientation_t &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::orientation () const
	Accessor for the orientation.
constexpr orientation_t &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::orientation ()
	Accessor for the orientation.
constexpr const value_type &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::radius () const
	Accessor for the radius.
constexpr value_type &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::radius ()
	Accessor for the radius.
constexpr const value_type &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::length () const
	Accessor for the length.
constexpr value_type &	mundy::Spherocylinder< Scalar, PointType, QuaternionType >::length ()
	Accessor for the length.

Non-member functions for ValidSpherocylinderType objects
template<ValidSpherocylinderType SpherocylinderType>
std::ostream &	mundy::operator<< (std::ostream &os, const SpherocylinderType &spherocylinder)
	OStream operator.

Constructors and destructor
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment ()
	Default constructor for owning SpherocylinderSegments. Default initialize the start and end points.
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (const point_t &start, const point_t &end, const value_type &radius)
	Constructor to initialize the start and end points.
template<ValidPointType OtherPointType>
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (const OtherPointType &start, const OtherPointType &end, const value_type &radius)
	Constructor to initialize the start and end points.
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::~SpherocylinderSegment ()=default
	Destructor.
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (const SpherocylinderSegment< value_type, point_t > &other)
	Deep copy constructor.
template<typename OtherSpherocylinderSegmentType>
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (const OtherSpherocylinderSegmentType &other)
	Deep copy constructor.
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (SpherocylinderSegment< value_type, point_t > &&other)
	Deep move constructor.
template<typename OtherSpherocylinderSegmentType>
constexpr	mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment (OtherSpherocylinderSegmentType &&other)
	Deep move constructor.

Operators
constexpr SpherocylinderSegment< value_type, point_t > &	mundy::SpherocylinderSegment< Scalar, PointType >::operator= (const SpherocylinderSegment< value_type, point_t > &other)
	Copy assignment operator.
template<typename OtherSpherocylinderSegmentType>
constexpr SpherocylinderSegment< value_type, point_t > &	mundy::SpherocylinderSegment< Scalar, PointType >::operator= (const OtherSpherocylinderSegmentType &other)
	Copy assignment operator.
constexpr SpherocylinderSegment< value_type, point_t > &	mundy::SpherocylinderSegment< Scalar, PointType >::operator= (SpherocylinderSegment< value_type, point_t > &&other)
	Move assignment operator.
template<typename OtherSpherocylinderSegmentType>
constexpr SpherocylinderSegment< value_type, point_t > &	mundy::SpherocylinderSegment< Scalar, PointType >::operator= (OtherSpherocylinderSegmentType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::SpherocylinderSegment< Scalar, PointType >::start () const
	Accessor for the start.
constexpr point_t &	mundy::SpherocylinderSegment< Scalar, PointType >::start ()
	Accessor for the start.
constexpr const point_t &	mundy::SpherocylinderSegment< Scalar, PointType >::end () const
	Accessor for the end.
constexpr point_t &	mundy::SpherocylinderSegment< Scalar, PointType >::end ()
	Accessor for the end.
constexpr const value_type &	mundy::SpherocylinderSegment< Scalar, PointType >::radius () const
	Accessor for the radius.
constexpr value_type &	mundy::SpherocylinderSegment< Scalar, PointType >::radius ()
	Accessor for the radius.

Non-member functions for ValidSpherocylinderSegmentType objects
template<ValidSpherocylinderSegmentType SpherocylinderSegmentType>
std::ostream &	mundy::operator<< (std::ostream &os, const SpherocylinderSegmentType &spherocylinder_segment)
	OStream operator.

Constructors and destructor
constexpr	mundy::VSegment< Scalar, PointType >::VSegment ()
	Default constructor for owning VSegments. Default initialize the start, middle, and end points.
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (const point_t &start, const point_t &middle, const point_t &end)
	Constructor to initialize the start, middle, and end points.
template<ValidPointType OtherPointType>
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (const OtherPointType &start, const OtherPointType &middle, const OtherPointType &end)
	Constructor to initialize the start, middle, and end points.
constexpr	mundy::VSegment< Scalar, PointType >::~VSegment ()=default
	Destructor.
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (const VSegment< value_type, point_t > &other)
	Deep copy constructor.
template<typename OtherVSegmentType>
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (const OtherVSegmentType &other)
	Deep copy constructor.
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (VSegment< value_type, point_t > &&other)
	Deep move constructor.
template<typename OtherVSegmentType>
constexpr	mundy::VSegment< Scalar, PointType >::VSegment (OtherVSegmentType &&other)
	Deep move constructor.

Operators
constexpr VSegment< value_type, point_t > &	mundy::VSegment< Scalar, PointType >::operator= (const VSegment< value_type, point_t > &other)
	Copy assignment operator.
template<typename OtherVSegmentType>
constexpr VSegment< value_type, point_t > &	mundy::VSegment< Scalar, PointType >::operator= (const OtherVSegmentType &other)
	Copy assignment operator.
constexpr VSegment< value_type, point_t > &	mundy::VSegment< Scalar, PointType >::operator= (VSegment< value_type, point_t > &&other)
	Move assignment operator.
template<typename OtherVSegmentType>
constexpr VSegment< value_type, point_t > &	mundy::VSegment< Scalar, PointType >::operator= (OtherVSegmentType &&other)
	Move assignment operator.

Accessors
constexpr const point_t &	mundy::VSegment< Scalar, PointType >::start () const
	Accessor for the start.
constexpr point_t &	mundy::VSegment< Scalar, PointType >::start ()
	Accessor for the start.
constexpr const point_t &	mundy::VSegment< Scalar, PointType >::middle () const
	Accessor for the middle.
constexpr point_t &	mundy::VSegment< Scalar, PointType >::middle ()
	Accessor for the middle.
constexpr const point_t &	mundy::VSegment< Scalar, PointType >::end () const
	Accessor for the end.
constexpr point_t &	mundy::VSegment< Scalar, PointType >::end ()
	Accessor for the end.

Non-member functions for ValidVSegmentType objects
template<ValidVSegmentType VSegmentType>
std::ostream &	mundy::operator<< (std::ostream &os, const VSegmentType &v_segment)
	OStream operator.

Detailed Description

Typedef Documentation

◆ value_type [1/11]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

using mundy::AABB< Scalar, MinPointType, MaxPointType >::value_type = Scalar

◆ min_point_t

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

using mundy::AABB< Scalar, MinPointType, MaxPointType >::min_point_t = MinPointType

◆ max_point_t

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

using mundy::AABB< Scalar, MinPointType, MaxPointType >::max_point_t = MaxPointType

◆ value_type [2/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Circle3D< Scalar, PointType, QuaternionType >::value_type = Scalar

◆ point_t [1/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Circle3D< Scalar, PointType, QuaternionType >::point_t = PointType

◆ orientation_t [1/5]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Circle3D< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType

◆ value_type [3/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

using mundy::Ellipsoid< Scalar, PointType, OrientationType >::value_type = Scalar

◆ point_t [2/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

using mundy::Ellipsoid< Scalar, PointType, OrientationType >::point_t = PointType

◆ orientation_t [2/5]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

using mundy::Ellipsoid< Scalar, PointType, OrientationType >::orientation_t = OrientationType

◆ value_type [4/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::Line< Scalar, PointType >::value_type = Scalar

◆ point_t [3/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::Line< Scalar, PointType >::point_t = PointType

◆ vector_t

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::Line< Scalar, PointType >::vector_t = PointType

◆ value_type [5/11]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

using mundy::LineSegment< Scalar, StartPointType, EndPointType >::value_type = Scalar

◆ start_point_t

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

using mundy::LineSegment< Scalar, StartPointType, EndPointType >::start_point_t = StartPointType

◆ end_point_t

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

using mundy::LineSegment< Scalar, StartPointType, EndPointType >::end_point_t = EndPointType

◆ value_type [6/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

using mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::value_type = Scalar

◆ point_t [4/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

using mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::point_t = PointType

◆ orientation_t [3/5]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

using mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::orientation_t = QuaternionType

◆ half_extents_t

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

using mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::half_extents_t = HalfExtentsType

◆ APoint

template<typename Scalar, ValidAccessor< Scalar > Accessor = Array<Scalar, 3>>

using mundy::APoint = AVector3<Scalar, Accessor>

Template Parameters

Scalar

The following is a methodological choice to use the Vector3 class as the underlying data structure for the Point class. This is done to allow points to access the same mathematical operations as vectors (dot product, cross product, etc.). Had we created our own interface, we would have hidden the mathematical operations from the user.

◆ Point

template<typename Scalar>

using mundy::Point = APoint<Scalar>

◆ value_type [7/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Ring< Scalar, PointType, QuaternionType >::value_type = Scalar

◆ point_t [5/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Ring< Scalar, PointType, QuaternionType >::point_t = PointType

◆ orientation_t [4/5]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Ring< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType

◆ value_type [8/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::Sphere< Scalar, PointType >::value_type = Scalar

◆ point_t [6/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::Sphere< Scalar, PointType >::point_t = PointType

◆ value_type [9/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Spherocylinder< Scalar, PointType, QuaternionType >::value_type = Scalar

◆ point_t [7/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Spherocylinder< Scalar, PointType, QuaternionType >::point_t = PointType

◆ orientation_t [5/5]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

using mundy::Spherocylinder< Scalar, PointType, QuaternionType >::orientation_t = QuaternionType

◆ value_type [10/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::SpherocylinderSegment< Scalar, PointType >::value_type = Scalar

◆ point_t [8/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::SpherocylinderSegment< Scalar, PointType >::point_t = PointType

◆ value_type [11/11]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::VSegment< Scalar, PointType >::value_type = Scalar

◆ point_t [9/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

using mundy::VSegment< Scalar, PointType >::point_t = PointType

Function Documentation

◆ AABB() [1/8]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB ( )

inlineconstexpr

◆ AABB() [2/8]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB	(	const min_point_t &	min_corner,
		const max_point_t &	max_corner )

inlineconstexpr

Parameters

[in]	min_corner	The minimum corner of the aabb.
[in]	max_corner	The maximum corner of the aabb.

◆ AABB() [3/8]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

template<ValidPointType OtherPointType1, ValidPointType OtherPointType2>

mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB	(	const OtherPointType1 &	min_corner,
		const OtherPointType2 &	max_corner )

inlineconstexpr

Parameters

[in]	min_corner	The minimum corner of the aabb.
[in]	max_corner	The maximum corner of the aabb.

◆ AABB() [4/8]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

mundy::AABB< Scalar, MinPointType, MaxPointType >::AABB	(	value_type	x_min,
		value_type	y_min,
		value_type	z_min,
		value_type	x_max,
		value_type	y_max,
		value_type	z_max )

inlineconstexpr

Parameters

[in]	x_min	The minimum x-coordinate.
[in]	y_min	The minimum y-coordinate.
[in]	z_min	The minimum z-coordinate.
[in]	x_max	The maximum x-coordinate.
[in]	y_max	The maximum y-coordinate.
[in]	z_max	The maximum z-coordinate.

Mirrors Vector/Matrix cast(): returns an owning AABB whose corners are this AABB's corners cast to U.

◆ set_min_corner() [1/2]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::AABB< Scalar, MinPointType, MaxPointType >::set_min_corner ( const OtherPointType & min_corner )

inlineconstexpr

Parameters

[in] min_corner The new minimum corner.

◆ set_min_corner() [2/2]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

void mundy::AABB< Scalar, MinPointType, MaxPointType >::set_min_corner	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The new x-coordinate.
[in]	y	The new y-coordinate.
[in]	z	The new z-coordinate.

◆ set_max_corner() [1/2]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::AABB< Scalar, MinPointType, MaxPointType >::set_max_corner ( const OtherPointType & max_corner )

inlineconstexpr

Parameters

[in] max_corner The new maximum corner.

◆ set_max_corner() [2/2]

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

void mundy::AABB< Scalar, MinPointType, MaxPointType >::set_max_corner	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The new x-coordinate.
[in]	y	The new y-coordinate.
[in]	z	The new z-coordinate.

◆ is_close()

template<ValidAABBType T1, ValidAABBType T2>

bool mundy::is_close	(	const T1 &	a1,
		const T2 &	a2,
		typename T1::value_type	tol = get_comparison_tolerance<typename T1::value_type, typename T2::value_type>() )

constexpr

◆ is_approx_close()

template<ValidAABBType T1, ValidAABBType T2>

bool mundy::is_approx_close	(	const T1 &	a1,
		const T2 &	a2,
		typename T1::value_type	tol = get_relaxed_comparison_tolerance<typename T1::value_type, typename T2::value_type>() )

constexpr

◆ operator<<() [1/11]

template<ValidAABBType AABBType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const AABBType &	aabb )

◆ intersects() [1/2]

template<ValidAABBType AABBType1, ValidAABBType AABBType2>

bool mundy::intersects	(	const AABBType1 &	aabb1,
		const AABBType2 &	aabb2 )

constexpr

◆ for_each_point() [1/2]

template<ValidAABBType T, typename Functor>

void mundy::for_each_point	(	const T &	aabb,
		Functor &&	f )

◆ for_each_point_mutable() [1/2]

template<ValidAABBType T, typename Functor>

void mundy::for_each_point_mutable	(	T &	aabb,
		Functor &&	f )

◆ Circle3D() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D ( )

inlineconstexpr

◆ Circle3D() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D	(	const point_t &	center,
		const orientation_t &	orientation,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	center	The center (in the lab frame) of the Circle3D.
[in]	orientation	The quaternion orientation mapping a circle with normal in the z-direction to the lab frame.
[in]	radius	The radius of the circle.

◆ Circle3D() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>

mundy::Circle3D< Scalar, PointType, QuaternionType >::Circle3D	(	const OtherPointType &	center,
		const OtherQuaternionType &	orientation,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	center	The center (in the lab frame) of the Circle3D.
[in]	orientation	The quaternion orientation mapping a circle with normal in the z-direction to the lab frame.
[in]	radius	The radius of the circle.

Parameters

[in] center The new center.

◆ set_center() [2/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Circle3D< Scalar, PointType, QuaternionType >::set_center	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_orientation() [1/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Circle3D< Scalar, PointType, QuaternionType >::set_orientation ( const orientation_t & orientation )

inlineconstexpr

Parameters

[in] orientation The new orientation.

◆ set_orientation() [2/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Circle3D< Scalar, PointType, QuaternionType >::set_orientation	(	const value_type &	qw,
		const value_type &	qx,
		const value_type &	qy,
		const value_type &	qz )

inlineconstexpr

Parameters

[in]	qw	The scalar-component of the orientation quaternion.
[in]	qx	The x-component of the orientation quaternion.
[in]	qy	The y-component of the orientation quaternion.
[in]	qz	The z-component of the orientation quaternion.

◆ set_radius() [1/4]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Circle3D< Scalar, PointType, QuaternionType >::set_radius ( const value_type & radius )

inlineconstexpr

Parameters

[in] radius The new major radius.

◆ operator<<() [2/11]

template<ValidCircle3DType Circle3DType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const Circle3DType &	circle3d )

◆ Ellipsoid() [1/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid ( )

inlineconstexpr

◆ Ellipsoid() [2/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid	(	const point_t &	center,
		const value_type &	radius_1,
		const value_type &	radius_2,
		const value_type &	radius_3 )

inlineconstexpr

Parameters

[in]	center	The center of the Ellipsoid.
[in]	radius_1	The first axis radius of the Ellipsoid.
[in]	radius_2	The second axis radius of the Ellipsoid.
[in]	radius_3	The third axis radius of the Ellipsoid.

◆ Ellipsoid() [3/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z,
		const value_type &	qw,
		const value_type &	qx,
		const value_type &	qy,
		const value_type &	qz,
		const value_type &	radius_1,
		const value_type &	radius_2,
		const value_type &	radius_3 )

inlineconstexpr

Parameters

[in]	x	The x-coordinate of the center.
[in]	y	The y-coordinate of the center.
[in]	z	The z-coordinate of the center.
[in]	qw	The scalar-component of the orientation quaternion.
[in]	qx	The x-component of the orientation quaternion.
[in]	qy	The y-component of the orientation quaternion.
[in]	qz	The z-component of the orientation quaternion.
[in]	radius_1	The first axis length of the Ellipsoid.
[in]	radius_2	The second axis length of the Ellipsoid.
[in]	radius_3	The third axis length of the Ellipsoid.

◆ Ellipsoid() [4/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid	(	const point_t &	center,
		const orientation_t &	orientation,
		const point_t &	radii )

inlineconstexpr

Parameters

[in]	center	The center of the Ellipsoid.
[in]	radii	The axis radii of the Ellipsoid.

◆ Ellipsoid() [5/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

mundy::Ellipsoid< Scalar, PointType, OrientationType >::Ellipsoid	(	const point_t &	center,
		const orientation_t &	orientation,
		const value_type &	radius_1,
		const value_type &	radius_2,
		const value_type &	radius_3 )

inlineconstexpr

Parameters

[in]	center	The center of the Ellipsoid.
[in]	radii	The axis radii of the Ellipsoid.

[in] center The new center.

◆ set_center() [4/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

void mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_center	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_orientation() [3/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

void mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_orientation ( const orientation_t & orientation )

inlineconstexpr

Parameters

[in] orientation The new orientation.

◆ set_orientation() [4/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

void mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_orientation	(	const value_type &	qw,
		const value_type &	qx,
		const value_type &	qy,
		const value_type &	qz )

inlineconstexpr

Parameters

[in]	qw	The scalar-component of the orientation quaternion.
[in]	qx	The x-component of the orientation quaternion.
[in]	qy	The y-component of the orientation quaternion.
[in]	qz	The z-component of the orientation quaternion.

◆ set_radii() [1/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

void mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_radii ( const point_t & radii )

inlineconstexpr

Parameters

[in] radii The new radii.

◆ set_radii() [2/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType OrientationType = Quaternion<Scalar>>

void mundy::Ellipsoid< Scalar, PointType, OrientationType >::set_radii	(	const value_type &	radius_1,
		const value_type &	radius_2,
		const value_type &	radius_3 )

inlineconstexpr

Parameters

[in]	radius_1	The new first axis radius.
[in]	radius_2	The new second axis radius.
[in]	radius_3	The new third axis radius.

◆ operator<<() [3/11]

template<ValidEllipsoidType EllipsoidType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const EllipsoidType &	ellipsoid )

◆ map_body_frame_normal_to_ellipsoid()

template<ValidEllipsoidType EllipsoidType>

Point< typename EllipsoidType::value_type > mundy::map_body_frame_normal_to_ellipsoid	(	const Vector3< typename EllipsoidType::value_type > &	body_frame_nhat,
		const EllipsoidType &	ellipsoid )

constexpr

◆ map_surface_normal_to_foot_point_on_ellipsoid()

template<typename Scalar, ValidAccessor< Scalar > Accessor1, ValidEllipsoidType EllipsoidType>

Vector3< Scalar > mundy::map_surface_normal_to_foot_point_on_ellipsoid	(	const AVector3< Scalar, Accessor1 > &	lab_frame_ellipsoid_nhat,
		const EllipsoidType &	ellipsoid )

constexpr

◆ Line() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::Line< Scalar, PointType >::Line ( )

inlineconstexpr

◆ Line() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::Line< Scalar, PointType >::Line	(	const point_t &	center,
		const vector_t &	direction )

inlineconstexpr

Parameters

[in]	center	The center of the Line.
[in]	direction	The direction of the Line.

◆ Line() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType, ValidVectorType OtherVectorType>

mundy::Line< Scalar, PointType >::Line	(	const OtherPointType &	center,
		const OtherVectorType &	direction )

inlineconstexpr

Parameters

[in]	center	The center of the Line.
[in]	direction	The direction of the Line.

Parameters

[in] center The new center.

◆ set_center() [6/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::Line< Scalar, PointType >::set_center	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_direction() [1/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidVectorType OtherVectorType>

void mundy::Line< Scalar, PointType >::set_direction ( const OtherVectorType & direction )

inlineconstexpr

Parameters

[in] direction The new direction.

◆ set_direction() [2/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::Line< Scalar, PointType >::set_direction	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-component.
[in]	y	The y-component.
[in]	z	The z-component.

◆ operator<<() [4/11]

template<ValidLineType LineType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const LineType &	line )

◆ LineSegment() [1/7]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment ( )

inlineconstexpr

◆ LineSegment() [2/7]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment	(	const start_point_t &	start,
		const end_point_t &	end )

inlineconstexpr

Parameters

[in]	start	The start of the LineSegment.
[in]	end	The end of the LineSegment.

◆ LineSegment() [3/7]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

template<ValidPointType OtherStartPointType, ValidPointType OtherEndPointType>

mundy::LineSegment< Scalar, StartPointType, EndPointType >::LineSegment	(	const OtherStartPointType &	start,
		const OtherEndPointType &	end )

inlineconstexpr

Parameters

[in]	start	The start of the LineSegment.
[in]	end	The end of the LineSegment.

Parameters

[in] start The new start point.

◆ set_start() [2/6]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

void mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_start	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_end() [1/6]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_end ( const OtherPointType & end )

inlineconstexpr

Parameters

[in] end The new end point.

◆ set_end() [2/6]

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

void mundy::LineSegment< Scalar, StartPointType, EndPointType >::set_end	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ operator<<() [5/11]

template<ValidLineSegmentType LineSegmentType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const LineSegmentType &	line_segment )

◆ OBB() [1/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB ( )

inlineconstexpr

◆ OBB() [2/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB	(	const point_t &	center,
		const value_type &	half_extent )

inlineconstexpr

Parameters

[in]	center	Centroid of the box in world space.
[in]	half_extent	Half-length of the box along each local axis.

◆ OBB() [3/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB	(	const point_t &	center,
		const orientation_t &	orientation,
		const half_extents_t &	half_extents )

inlineconstexpr

Parameters

[in]	center	Centroid of the box in world space.
[in]	orientation	Unit quaternion mapping local axes to world space.
[in]	half_extents	Half-lengths along each local axis (must be non-negative).

◆ OBB() [4/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::OBB	(	const point_t &	center,
		const orientation_t &	orientation,
		const value_type &	hx,
		const value_type &	hy,
		const value_type &	hz )

inlineconstexpr

Parameters

[in]	center	Centroid of the box in world space.
[in]	orientation	Unit quaternion mapping local axes to world space.
[in]	hx	Half-length along local x-axis.
[in]	hy	Half-length along local y-axis.
[in]	hz	Half-length along local z-axis.

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

void mundy::OBB< Scalar, PointType, QuaternionType, HalfExtentsType >::set_half_extents	(	const value_type &	hx,
		const value_type &	hy,
		const value_type &	hz )

inlineconstexpr

◆ intersects() [2/2]

template<ValidOBBType OBBType1, ValidOBBType OBBType2>

bool mundy::intersects	(	const OBBType1 &	a,
		const OBBType2 &	b )

constexpr

Tests 15 candidate separating axes: 3 face normals of A, 3 face normals of B, and 9 edge cross-products A_i × B_j. Returns true if the boxes overlap on every axis (i.e. no separating axis was found).

The relative rotation is computed via mat(conj(q_A)*q_B) rather than materialising both rotation matrices — consistent with the quaternion storage choice documented in the class header.

Parameters

[in]	a	First OBB.
[in]	b	Second OBB.

◆ operator<<() [6/11]

template<ValidOBBType T>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const T &	obb )

◆ Ring() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Ring< Scalar, PointType, QuaternionType >::Ring ( )

inlineconstexpr

◆ Ring() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Ring< Scalar, PointType, QuaternionType >::Ring	(	const point_t &	center,
		const orientation_t &	orientation,
		const value_type &	major_radius,
		const value_type &	minor_radius )

inlineconstexpr

Parameters

[in]	center	The center of the Ring.
[in]	orientation	The orientation of the Ring (as a quaternion).
[in]	major_radius	The radius of the center circle of the Ring.
[in]	minor_radius	The radius of the tube around said circle.

◆ Ring() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>

mundy::Ring< Scalar, PointType, QuaternionType >::Ring	(	const OtherPointType &	center,
		const OtherQuaternionType &	orientation,
		const value_type &	major_radius,
		const value_type &	minor_radius )

inlineconstexpr

Parameters

[in]	center	The center of the Ring.
[in]	orientation	The orientation of the Ring (as a quaternion).
[in]	major_radius	The radius of the center circle of the Ring.
[in]	minor_radius	The radius of the tube around said circle.

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

template<ValidPointType OtherPointType>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_center ( const OtherPointType & center )

inlineconstexpr

Parameters

[in] center The new center.

◆ set_center() [9/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_center	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_orientation() [6/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_orientation ( const orientation_t & orientation )

inlineconstexpr

Parameters

[in] orientation The new orientation.

◆ set_orientation() [7/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_orientation	(	const value_type &	qw,
		const value_type &	qx,
		const value_type &	qy,
		const value_type &	qz )

inlineconstexpr

Parameters

[in]	qw	The scalar-component of the orientation quaternion.
[in]	qx	The x-component of the orientation quaternion.
[in]	qy	The y-component of the orientation quaternion.
[in]	qz	The z-component of the orientation quaternion.

◆ set_major_radius()

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_major_radius ( const value_type & major_radius )

inlineconstexpr

Parameters

[in] major_radius The new major radius.

◆ set_minor_radius()

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Ring< Scalar, PointType, QuaternionType >::set_minor_radius ( const value_type & minor_radius )

inlineconstexpr

Parameters

[in] minor_radius The new minor radius.

◆ operator<<() [7/11]

template<ValidRingType RingType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const RingType &	ring )

◆ Sphere() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::Sphere< Scalar, PointType >::Sphere ( )

inlineconstexpr

◆ Sphere() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::Sphere< Scalar, PointType >::Sphere	(	const point_t &	center,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	center	The center of the Sphere.
[in]	radius	The radius of the Sphere.

◆ Sphere() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

mundy::Sphere< Scalar, PointType >::Sphere	(	const OtherPointType &	center,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	center	The center of the Sphere.
[in]	radius	The radius of the Sphere.

Parameters

[in] center The new center.

◆ set_center() [11/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::Sphere< Scalar, PointType >::set_center	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_radius() [2/4]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::Sphere< Scalar, PointType >::set_radius ( const value_type & radius )

inlineconstexpr

Parameters

[in] radius The new radius.

◆ operator<<() [8/11]

template<ValidSphereType SphereType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const SphereType &	sphere )

◆ Spherocylinder() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder ( )

inlineconstexpr

◆ Spherocylinder() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder	(	const point_t &	center,
		const orientation_t &	orientation,
		const value_type &	radius,
		const value_type &	length )

inlineconstexpr

Parameters

[in]	center	The center of the Spherocylinder.
[in]	orientation	The orientation of the Spherocylinder (as a quaternion).
[in]	radius	The radius of the Spherocylinder.
[in]	length	The length of the Spherocylinder.

◆ Spherocylinder() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

template<ValidPointType OtherPointType, ValidQuaternionType OtherQuaternionType>

mundy::Spherocylinder< Scalar, PointType, QuaternionType >::Spherocylinder	(	const OtherPointType &	center,
		const OtherQuaternionType &	orientation,
		const value_type &	radius,
		const value_type &	length )

inlineconstexpr

Parameters

[in]	center	The center of the Spherocylinder.
[in]	orientation	The orientation of the Spherocylinder (as a quaternion).
[in]	radius	The radius of the Spherocylinder.
[in]	length	The length of the Spherocylinder.

Parameters

[in] center The new center.

◆ set_center() [13/13]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_center	(	const value_type &	x,
		const value_type &	y,
		const value_type &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_orientation() [8/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_orientation ( const orientation_t & orientation )

inlineconstexpr

Parameters

[in] orientation The new orientation.

◆ set_orientation() [9/9]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_orientation	(	const value_type &	qw,
		const value_type &	qx,
		const value_type &	qy,
		const value_type &	qz )

inlineconstexpr

Parameters

[in]	qw	The scalar-component of the orientation quaternion.
[in]	qx	The x-component of the orientation quaternion.
[in]	qy	The y-component of the orientation quaternion.
[in]	qz	The z-component of the orientation quaternion.

◆ set_radius() [3/4]

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_radius ( const value_type & radius )

inlineconstexpr

Parameters

[in] radius The new radius.

◆ set_length()

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>>

void mundy::Spherocylinder< Scalar, PointType, QuaternionType >::set_length ( const value_type & length )

inlineconstexpr

Parameters

[in] length The new length.

◆ operator<<() [9/11]

template<ValidSpherocylinderType SpherocylinderType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const SpherocylinderType &	spherocylinder )

◆ SpherocylinderSegment() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment ( )

inlineconstexpr

◆ SpherocylinderSegment() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment	(	const point_t &	start,
		const point_t &	end,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	start	The start of the SpherocylinderSegment.
[in]	end	The end of the SpherocylinderSegment.

◆ SpherocylinderSegment() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

mundy::SpherocylinderSegment< Scalar, PointType >::SpherocylinderSegment	(	const OtherPointType &	start,
		const OtherPointType &	end,
		const value_type &	radius )

inlineconstexpr

Parameters

[in]	start	The start of the SpherocylinderSegment.
[in]	end	The end of the SpherocylinderSegment.

Parameters

[in] start The new start point.

◆ set_start() [4/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::SpherocylinderSegment< Scalar, PointType >::set_start	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_end() [3/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::SpherocylinderSegment< Scalar, PointType >::set_end ( const OtherPointType & end )

inlineconstexpr

Parameters

[in] end The new end point.

◆ set_end() [4/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::SpherocylinderSegment< Scalar, PointType >::set_end	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_radius() [4/4]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::SpherocylinderSegment< Scalar, PointType >::set_radius ( const value_type & radius )

inlineconstexpr

Parameters

[in] radius The new radius.

◆ operator<<() [10/11]

template<ValidSpherocylinderSegmentType SpherocylinderSegmentType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const SpherocylinderSegmentType &	spherocylinder_segment )

◆ VSegment() [1/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::VSegment< Scalar, PointType >::VSegment ( )

inlineconstexpr

◆ VSegment() [2/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

mundy::VSegment< Scalar, PointType >::VSegment	(	const point_t &	start,
		const point_t &	middle,
		const point_t &	end )

inlineconstexpr

Parameters

[in]	start	The start of the VSegment.
[in]	middle	The middle of the VSegment.
[in]	end	The end of the VSegment.

◆ VSegment() [3/7]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

mundy::VSegment< Scalar, PointType >::VSegment	(	const OtherPointType &	start,
		const OtherPointType &	middle,
		const OtherPointType &	end )

inlineconstexpr

Parameters

[in]	start	The start of the VSegment.
[in]	middle	The middle of the VSegment.
[in]	end	The end of the VSegment.

Parameters

[in] start The new start point.

◆ set_start() [6/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::VSegment< Scalar, PointType >::set_start	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_middle() [1/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::VSegment< Scalar, PointType >::set_middle ( const OtherPointType & middle )

inlineconstexpr

Parameters

[in] middle The new middle point.

◆ set_middle() [2/2]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::VSegment< Scalar, PointType >::set_middle	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ set_end() [5/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

template<ValidPointType OtherPointType>

void mundy::VSegment< Scalar, PointType >::set_end ( const OtherPointType & end )

inlineconstexpr

Parameters

[in] end The new end point.

◆ set_end() [6/6]

template<typename Scalar, ValidPointType PointType = Point<Scalar>>

void mundy::VSegment< Scalar, PointType >::set_end	(	const Scalar &	x,
		const Scalar &	y,
		const Scalar &	z )

inlineconstexpr

Parameters

[in]	x	The x-coordinate.
[in]	y	The y-coordinate.
[in]	z	The z-coordinate.

◆ operator<<() [11/11]

template<ValidVSegmentType VSegmentType>

std::ostream & mundy::operator<<	(	std::ostream &	os,
		const VSegmentType &	v_segment )

◆ for_each_point() [2/2]

template<ValidPointType PointT, typename Functor>

void mundy::for_each_point	(	const PointT &	pt,
		Functor &&	f )

◆ for_each_point_mutable() [2/2]

template<ValidPointType PointT, typename Functor>

void mundy::for_each_point_mutable	(	PointT &	pt,
		Functor &&	f )

inlineconstexpr

Friends

◆ AABB

template<typename Scalar, ValidPointType MinPointType = Point<Scalar>, ValidPointType MaxPointType = Point<Scalar>>

template<typename, ValidPointType, ValidPointType>

friend class AABB

friend

◆ LineSegment

template<typename Scalar, ValidPointType StartPointType = Point<Scalar>, ValidPointType EndPointType = Point<Scalar>>

template<typename, ValidPointType, ValidPointType>

friend class LineSegment

friend

◆ OBB

template<typename Scalar, ValidPointType PointType = Point<Scalar>, ValidQuaternionType QuaternionType = Quaternion<Scalar>, ValidVector3Type HalfExtentsType = Vector3<Scalar>>

template<typename, ValidPointType, ValidQuaternionType, ValidVector3Type>

friend class OBB

friend

Concepts

Classes

Typedefs

Variables

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Type aliases

Setters

Setters

Setters

Friends <3

Setters

Setters

Setters

Setters

Setters

Setters

Friends <3

Constructors and destructor

Operators

Accessors

Casting

Setters

Non-member functions for ValidAABBType objects

Point visitation

Constructors and destructor

Operators

Accessors

Non-member functions for ValidCircle3DType objects

Constructors and destructor

Operators

Accessors

Non-member functions for ValidSphereType objects

Constructors and destructor

Operators

Accessors

Non-member functions for ValidLineType objects

Constructors and destructor

Operators

Accessors

Setters

Non-member functions for ValidLineSegmentType objects

Constructors and destructor

Assignment operators

Accessors

Intersection test

Stream output

Constructors and destructor

Operators

Accessors

Non-member functions for ValidRingType objects

Constructors and destructor

Operators

Accessors

Constructors and destructor

Operators

Accessors

Non-member functions for ValidSpherocylinderType objects

Constructors and destructor

Operators

Accessors

Non-member functions for ValidSpherocylinderSegmentType objects

Constructors and destructor

Operators

Accessors

Non-member functions for ValidVSegmentType objects

Detailed Description

Typedef Documentation

◆ value_type [1/11]

◆ min_point_t

◆ max_point_t

◆ value_type [2/11]