Axis-aligned cone (infinite and double-sheeted). More...

#include <ConeAligned.hh>

Public Member Functions
	ConeAligned (Real3 const &origin, real_type tangent)
	Construct from origin and tangent of the angle of its opening.

template<class R >
CELER_FUNCTION	ConeAligned (Span< R, StorageSpan::extent >)
	Construct from raw data.

CELER_FUNCTION Real3 const &	origin () const
	Get the origin position along the normal axis.

CELER_FUNCTION real_type	tangent_sq () const
	Get the square of the tangent of the opening angle.

CELER_FUNCTION StorageSpan	data () const
	Get a view to the data for type-deleted storage.

CELER_FUNCTION SignedSense	calc_sense (Real3 const &pos) const
	Determine the sense of the position relative to this surface.

CELER_FUNCTION Intersections	calc_intersections (Real3 const &pos, Real3 const &dir, SurfaceState on_surface) const
	Calculate all possible straight-line intersections with this surface.

CELER_FUNCTION Real3	calc_normal (Real3 const &pos) const
	Calculate outward normal at a position.

Static Public Member Functions
static ConeAligned	from_tangent_sq (Real3 const &origin, real_type tsq)
	Construct with square of tangent for simplification.

Type aliases
using	Intersections = Array< real_type, 2 >
	Surface type identifier.

using	StorageSpan = Span< real_type const, 4 >
	Surface type identifier.

static CELER_CONSTEXPR_FUNCTION SurfaceType	surface_type ()
	Surface type identifier.

static CELER_CONSTEXPR_FUNCTION bool	simple_safety ()
	Safety is intersection along surface normal.

static CELER_CONSTEXPR_FUNCTION Axis	t_axis ()

static CELER_CONSTEXPR_FUNCTION Axis	u_axis ()
	Surface type identifier.

static CELER_CONSTEXPR_FUNCTION Axis	v_axis ()
	Surface type identifier.

Detailed Description

template<Axis T>
class celeritas::ConeAligned< T >

Axis-aligned cone (infinite and double-sheeted).

For a cone parallel to the z axis:

\[ (x - x_0)^2 + (y - y_0)^2 - t^2 (z - z_0)^2 = 0 \]

where t is the tangent of the opening angle ( \(r/h\) for a finite cone with radius r and height h). In the cone below, the tangent of the inner angle is \( t = \tan(\theta) = r/h \). Negative values of t are equivalent and valid, representing the four points on a slice of the double-sheet cone.

 \        |   r    /
  o- - - -+- - - -o
   '--_   :   _--'
h      --.:.--
---       O
      _--':'--_
   .--    :    --.
  o-------+-------o
 /        |        \

Member Function Documentation

◆ calc_intersections()

template<Axis T>

CELER_FUNCTION auto celeritas::ConeAligned< T >::calc_intersections	(	Real3 const &	pos,
		Real3 const &	dir,
		SurfaceState	on_surface
	)		const

inline

Calculate all possible straight-line intersections with this surface.

\[ (y - yc)^2 + (z - zc)^2 - t^2 * (x - xc)^2 = 0 \]

◆ t_axis()

template<Axis T>

static CELER_CONSTEXPR_FUNCTION Axis celeritas::ConeAligned< T >::t_axis ( )

inlinestatic

Axes

The documentation for this class was generated from the following files:

Public Member Functions

Static Public Member Functions

Type aliases

Detailed Description

Member Function Documentation

◆ calc_intersections()

◆ t_axis()