mod_shape_basic::t_shape_rectangle Type Reference

Rectangle/rectangular cuboid shape. More...

Inheritance diagram for mod_shape_basic::t_shape_rectangle:

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 rectangle 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)	corner_min = 0d0
	Minimal coordinates of the the rectangle shape.
double precision, dimension(3)	corner_max = 0d0
	Maximal coordinates of the the rectangle 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

Rectangle/rectangular cuboid shape.

Member Function/Subroutine Documentation

copy()

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

Copy the shape.

Parameters

[in]	shape	rectangle shape
[out]	copy	copied rectangle

get_distance()

procedure mod_shape_basic::t_shape_rectangle::get_distance	(	class(t_shape_rectangle), 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 rectangle/rectangular cuboid, the distance is negative and the direction points to the closest point on the rectangle/rectangular cuboid. If the point lies outside the rectangle/rectangular cuboid, the distance is positive and the direction points in the opposite direction to the closest point on the rectangle/rectangular cuboid.

Parameters

[in]	shape	rectangle/rectangular cuboid shape
[in]	point	any point
[out]	distance	signed closest distance from the point to the rectangle/rectangular cuboid
[out]	direction	signed direction from the point to the closest point on the rectangle/rectangular cuboid

get_samples_inside()

procedure mod_shape_basic::t_shape_rectangle::get_samples_inside	(	class(t_shape_rectangle), 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	rectangle/rectangular cuboid shape
[in]	i,j,k	coordinates of the cell
[in]	n	value to put where the sample is inside the rectangle/rectangular cuboid
[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_rectangle::initialize

(

class(t_shape_rectangle), intent(inout)

shape

)

Initialize the shape.

Parameters

[in,out]

shape

rectangle shape

is_inside()

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

Check if a point lies inside the shape.

Parameters

[in]	shape	rectangle/rectangular cuboid shape
[in]	point	any point

ray_trace()

procedure mod_shape_basic::t_shape_rectangle::ray_trace	(	class(t_shape_rectangle), 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 rectangle and a ray.

Parameters

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

Member Data Documentation

corner_max

double precision, dimension(3) mod_shape_basic::t_shape_rectangle::corner_max = 0d0

Maximal coordinates of the the rectangle shape.

corner_min

double precision, dimension(3) mod_shape_basic::t_shape_rectangle::corner_min = 0d0

Minimal coordinates of the the rectangle shape.

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

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