mod_shape_basic::t_shape_torus Type Reference

Torus shape around Z-axis (3D only) More...

Inheritance diagram for mod_shape_basic::t_shape_torus:

Public Member Functions
procedure	initialize (shape)
	Initialize the shape.
procedure	copy (shape, copy)
	Copy the shape.
procedure	is_inside (shape, point)
	Check if a point lies inside the shape.
procedure	get_samples_inside (shape, i, j, k, n, n_samples, samples)
	Check if a given number of point lies in a shape.
procedure	get_distance (shape, point, distance, direction)
	Compute the distance and the direction from a point to the shape.
procedure	ray_trace (shape, ray, has_normal, intersection_list)
	Compute the intersection between the torus and a ray.
Public Member Functions inherited from type_shape::t_shape
procedure(abs_initialize_shape), deferred	initialize (shape)
	Initialize the shape.
procedure(abs_copy_shape), deferred	copy (shape, copy)
	Copy the shape.
procedure(abs_shape_is_inside), deferred	is_inside (shape, point)
	Check if a point lies inside the shape.
procedure(abs_shape_get_samples_inside), deferred	get_samples_inside (shape, i, j, k, n, n_samples, samples)
	Check if a given number of point lies in a shape.
procedure(abs_shape_get_distance), deferred	get_distance (shape, point, distance, direction)
	Compute the distance and the direction from a point to the shape.
procedure(abs_shape_ray_trace), deferred	ray_trace (shape, ray, has_normal, intersection_list)
	Compute the intersection between the shape and a ray.

Public Attributes
double precision, dimension(3)	center = 0d0
	Origin of the torus.
double precision, dimension(3)	axis = 0d0
	Axis of the torus.
double precision	big_radius = 0d0
	Big radius of the torus.
double precision	small_radius = 0d0
	Small radius of the torus.
double precision, dimension(3, 2)	bounding_box
	Aligned-axis bounding-box (in the frame of the shape)
Public Attributes inherited from type_shape::t_shape
integer	dimension = 2
	Dimension of the shape.
type(t_cg_transformation)	transformation
	Transformation matrix.
logical	is_reversed = .false.
	Swap interior/exterior sides of the shape.

Detailed Description

Torus shape around Z-axis (3D only)

Member Function/Subroutine Documentation

copy()

procedure mod_shape_basic::t_shape_torus::copy	(	class(t_shape_torus), intent(in)	shape,
		class(t_shape), allocatable	copy )

Copy the shape.

Parameters

[in]	shape	torus shape
[out]	copy	copied torus

get_distance()

procedure mod_shape_basic::t_shape_torus::get_distance	(	class(t_shape_torus), intent(in)	shape,
		double precision, dimension(3), intent(in)	point,
		double precision, intent(out)	distance,
		double precision, dimension(3), intent(out)	direction )

Compute the distance and the direction from a point to the shape.

If the point lies inside the torus, the distance is negative and the direction points to the closest point on the torus. If the point lies outiside the torus, the distance is positive and the direction points in the opposite direction to the closest point on the torus.

Parameters

[in]	shape	torus shape
[in]	point	any point
[out]	distance	signed closest distance from the point to the torus
[out]	direction	signed direction from the point to the closest point on the torus

get_samples_inside()

procedure mod_shape_basic::t_shape_torus::get_samples_inside	(	class(t_shape_torus), intent(inout)	shape,
		integer, intent(in)	i,
		integer, intent(in)	j,
		integer, intent(in)	k,
		integer, intent(in)	n,
		integer, intent(in)	n_samples,
		integer, dimension(:,:,:), intent(inout)	samples )

Check if a given number of point lies in a shape.

Sample a cell of coordinates (i,j,k) with (2*n_samples+1)^d samples, where d denotes the dimension of the cell. Return a integer array samples containing the value n where the sample is inside the shape.

n_samples is called the sampling level and can take its value in range [0,∞].

Example of sampling for various sampling level:

  !!    n_samples = 0   n_samples = 1   n_samples = 2
  !!      ┏━━━━━━━┓       ×━━━×━━━×       ×━×━×━×━×
  !!      ┃       ┃       ┃       ┃       × × × × ×
  !!      ┃   ×   ┃       ×   ×   ×       × × × × ×    ...
  !!      ┃       ┃       ┃       ┃       × × × × ×
  !!      ┗━━━━━━━┛       ×━━━×━━━×       ×━×━×━×━×
  !! 

Parameters

[in,out]	shape	torus shape
[in]	i,j,k	coordinates of the cell
[in]	n	value to put where the sample is inside the torus
[in]	n_samples	sampling level (see description)
[in,out]	samples	array of the (2*n_samples+1)^d samples

initialize()

procedure mod_shape_basic::t_shape_torus::initialize

(

class(t_shape_torus), intent(inout)

shape

)

Initialize the shape.

Parameters

[in,out]

shape

torus shape

is_inside()

procedure mod_shape_basic::t_shape_torus::is_inside	(	class(t_shape_torus), intent(in)	shape,
		double precision, dimension(3), intent(in)	point )

Check if a point lies inside the shape.

Parameters

[in]	shape	torus shape
[in]	point	any point

ray_trace()

procedure mod_shape_basic::t_shape_torus::ray_trace	(	class(t_shape_torus), intent(in)	shape,
		type(t_ray), intent(in)	ray,
		logical, intent(in)	has_normal,
		type(t_intersection_list), intent(inout)	intersection_list )

Compute the intersection between the torus and a ray.

Parameters

[in]	shape	torus shape
[in]	ray	ray to intersect the torus
[in]	has_normal	list of intersections between the ray and the torus
[in,out]	intersection_list	list of intersections between the ray and the torus

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The documentation for this type was generated from the following file:

• src/lib/geometry/computational_geometry/shape/basic_shapes.f90