detray::trapezoid2D Class Reference

Geometrical shape of a trapezoid2D. More...

#include <detray/geometry/shapes/trapezoid2D.hpp>

Collaboration diagram for detray::trapezoid2D:

Public Types
enum	boundaries : unsigned int {   e_half_length_0 = 0u , e_half_length_1 = 1u , e_half_length_2 = 2u , e_divisor = 3u ,   e_size = 4u }
	Indices describing the entries in the shape boundary array.
template<concepts::scalar scalar_t>
using	bounds_type = darray<scalar_t, boundaries::e_size>
	Container definition for the shape boundary values.
template<concepts::algebra algebra_t>
using	local_frame_type = cartesian2D<algebra_t>
	Local coordinate frame for boundary checks.
template<typename bool_t>
using	result_type = detail::boundary_check_result<bool_t>
	Result type of a boundary check.

Public Member Functions
template<concepts::scalar scalar_t>
constexpr scalar_t	area (const bounds_type< scalar_t > &bounds) const
	The area of a the shape.
template<concepts::algebra algebra_t>
dpoint3D< algebra_t >	centroid (const bounds_type< dscalar< algebra_t > > &bounds) const
template<concepts::scalar scalar_t>
constexpr bool	check_consistency (const bounds_type< scalar_t > &bounds, std::ostream &os) const
	Check consistency of boundary values.
template<concepts::algebra algebra_t>
darray< dscalar< algebra_t >, 6 >	local_min_bounds (const bounds_type< dscalar< algebra_t > > &bounds, const dscalar< algebra_t > env=std::numeric_limits< dscalar< algebra_t > >::epsilon()) const
	Lower and upper point for minimal axis aligned bounding box.
template<concepts::scalar scalar_t>
constexpr scalar_t	measure (const bounds_type< scalar_t > &bounds) const
	Measure of the shape: Area.
template<concepts::scalar scalar_t>
constexpr bounds_type< scalar_t >	merge (const bounds_type< scalar_t > &bounds, const bounds_type< scalar_t > &o_bounds) const
	Merge two trapezoid shapes.
template<concepts::scalar scalar_t, concepts::point point_t>
scalar_t	min_dist_to_boundary (const bounds_type< scalar_t > &bounds, const point_t &loc_p) const
	Find the minimum distance to any boundary.
template<concepts::algebra algebra_t>
dvector< dpoint3D< algebra_t > >	vertices (const bounds_type< dscalar< algebra_t > > &bounds, dindex) const
	Generate vertices in local cartesian frame.
template<concepts::algebra algebra_t>
constexpr result_type< dbool< algebra_t > >	check_boundaries (const bounds_type< dscalar< algebra_t > > &bounds, const dtransform3D< algebra_t > &trf, const dpoint3D< algebra_t > &glob_p, const dscalar< algebra_t > tol=std::numeric_limits< dscalar< algebra_t > >::epsilon(), const dscalar< algebra_t > edge_tol=0.f) const
	Check boundary values for a local point.
template<concepts::scalar scalar_t, concepts::point point_t>
constexpr auto	check_boundaries (const bounds_type< scalar_t > &bounds, const point_t &loc_p, const scalar_t tol=std::numeric_limits< scalar_t >::epsilon(), const scalar_t edge_tol=0.f) const

Static Public Attributes
static constexpr std::size_t	dim {2u}
	Dimension of the local coordinate system.
static constexpr std::string_view	name = "trapezoid2D"
	The name for this shape.

Detailed Description

Geometrical shape of a trapezoid2D.

It is defined by half lengths in local0 coordinate bounds[0] and bounds[1] at -/+ half length in the local1 coordinate bounds[2]. bounds[3] contains the precomputed value of 1 / (2 * bounds[2]), which avoids excessive floating point divisions.

Member Function Documentation

area()

template<concepts::scalar scalar_t>

scalar_t detray::trapezoid2D::area ( const bounds_type< scalar_t > & bounds ) const

constexpr

The area of a the shape.

Parameters

bounds

the boundary values for this shape

Returns

the trapezoid area.

centroid()

template<concepts::algebra algebra_t>

dpoint3D< algebra_t > detray::trapezoid2D::centroid

(

const bounds_type< dscalar< algebra_t > > &

bounds

)

const

Parameters

bounds

Boundary values used to determine the center.

Returns

the shapes centroid in local cartesian coordinates

check_boundaries() [1/2]

template<concepts::algebra algebra_t>

result_type< dbool< algebra_t > > detray::trapezoid2D::check_boundaries ( const bounds_type< dscalar< algebra_t > > & bounds, const dtransform3D< algebra_t > & trf, const dpoint3D< algebra_t > & glob_p, const dscalar< algebra_t > tol = std::numeric_limits<dscalar<algebra_t>>::epsilon(), const dscalar< algebra_t > edge_tol = 0.f ) const

constexpr

Check boundary values for a local point.

Parameters

bounds	the boundary values for this shape
trf	the surface transform
glob_p	the point to be checked in the global coordinate system
tol	dynamic tolerance determined by caller
edge_tol	Additional tolerance used to classify points near an edge.

Returns

true if the local point lies within the given boundaries.

check_boundaries() [2/2]

template<concepts::scalar scalar_t, concepts::point point_t>

auto detray::trapezoid2D::check_boundaries ( const bounds_type< scalar_t > & bounds, const point_t & loc_p, const scalar_t tol = std::numeric_limits<scalar_t>::epsilon(), const scalar_t edge_tol = 0.f ) const

constexpr

Note

the point is expected to be given in local coordinates by the caller. For the conversion from global cartesian coordinates, the nested shape struct can be used.

Parameters

bounds	the boundary values for this shape
loc_p	the point to be checked in the local coordinate system
tol	dynamic tolerance determined by caller
edge_tol	Additional tolerance used to classify points near an edge.

Returns

true if the local point lies within the given boundaries.

check_consistency()

template<concepts::scalar scalar_t>

bool detray::trapezoid2D::check_consistency ( const bounds_type< scalar_t > & bounds, std::ostream & os ) const

constexpr

Check consistency of boundary values.

Parameters

bounds	the boundary values for this shape
os	output stream for error messages

Returns

true if the bounds are consistent.

local_min_bounds()

template<concepts::algebra algebra_t>

darray< dscalar< algebra_t >, 6 > detray::trapezoid2D::local_min_bounds	(	const bounds_type< dscalar< algebra_t > > &	bounds,
		const dscalar< algebra_t >	env = std::numeric_limits<dscalar<algebra_t>>::epsilon() ) const

Lower and upper point for minimal axis aligned bounding box.

Computes the min and max vertices in a local cartesian frame.

Parameters

bounds	the boundary values for this shape
env	dynamic envelope around the shape

Returns

and array of coordinates that contains the lower point (first three values) and the upper point (latter three values) .

measure()

template<concepts::scalar scalar_t>

scalar_t detray::trapezoid2D::measure ( const bounds_type< scalar_t > & bounds ) const

constexpr

Measure of the shape: Area.

Parameters

bounds

the boundary values for this shape

Returns

the trapezoid area on the plane

merge()

template<concepts::scalar scalar_t>

bounds_type< scalar_t > detray::trapezoid2D::merge ( const bounds_type< scalar_t > & bounds, const bounds_type< scalar_t > & o_bounds ) const

constexpr

Merge two trapezoid shapes.

Parameters

bounds	the boundary values for this shape
o_bounds	the boundary values for the other shape

Returns

merged bound values

min_dist_to_boundary()

template<concepts::scalar scalar_t, concepts::point point_t>

scalar_t detray::trapezoid2D::min_dist_to_boundary	(	const bounds_type< scalar_t > &	bounds,
		const point_t &	loc_p ) const

Find the minimum distance to any boundary.

Note

the point is expected to be given in local coordinates by the caller.

Parameters

bounds	the boundary values for this shape
loc_p	the point to be checked in the local coordinate system

Returns

the minimum distance.

vertices()

template<concepts::algebra algebra_t>

dvector< dpoint3D< algebra_t > > detray::trapezoid2D::vertices	(	const bounds_type< dscalar< algebra_t > > &	bounds,
		dindex	) const

Generate vertices in local cartesian frame.

Parameters

bounds

the boundary values for the trapezoid

Returns

a generated list of vertices