Axis Aligned Bounding Box (aabb) implementation in Fortran. More...

Data Types
interface	merge
	Merge two aabbs. More...

interface	intersection
	Intersect two aabbs. More...

type	aabb_t
	Axis Aligned Bounding Box (aabb) data structure. More...

Functions/Subroutines
type(aabb_t) function, public	get_aabb (object, padding)
	Construct the aabb of a predefined object. More...

subroutine	add_padding (this, padding)
	Add padding to the aabb. More...

type(aabb_t) function	get_aabb_element (object)
	Get the aabb of an arbitrary element. More...

type(aabb_t) function	get_aabb_mesh (object)
	Get the aabb of a mesh. More...

type(aabb_t) function	get_aabb_tri_mesh (object)
	Get the aabb of a triangular mesh. More...

type(aabb_t) function	get_aabb_tet_mesh (object)
	Get the aabb of a tetrahedral mesh. More...

subroutine	aabb_init (this, lower_left_front, upper_right_back)
	Initialize the aabb. More...

pure real(kind=dp) function, dimension(3)	aabb_get_min (this)
	Get the minimum point of the aabb. More...

pure real(kind=dp) function, dimension(3)	aabb_get_max (this)
	Get the maximum point of the aabb. More...

pure real(kind=dp) function	aabb_get_width (this)
	Get the width of the aabb. Also known as the x-axis length. More...

pure real(kind=dp) function	aabb_get_depth (this)
	Get the depth of the aabb. Also known as the y-axis length. More...

pure real(kind=dp) function	aabb_get_height (this)
	Get the height of the aabb. Also known as the z-axis length. More...

pure real(kind=dp) function	aabb_get_diameter (this)
	Get the diameter length of the aabb. More...

pure real(kind=dp) function	aabb_get_surface_area (this)
	Get the surface area of the aabb. More...

pure real(kind=dp) function, dimension(3)	aabb_get_center (this)
	Get the center of the aabb. More...

pure real(kind=dp) function, dimension(3)	aabb_get_diagonal (this)
	Get the diagonal of the aabb. More...

logical function	aabb_overlaps (this, other)
	Check if two aabbs are overlapping. More...

logical function	aabb_contains_other (this, other)
	Check if this aabb contains another aabb. More...

logical function	aabb_contains_point (this, p)
	Check if this aabb contains a point. More...

type(aabb_t) function	merge_aabb (box1, box2)
	Merge two aabbs. More...

type(aabb_t) function	intersection_aabb (box1, box2)
	Get the intersection of two aabbs. More...

pure real(kind=dp) function	calculate_surface_area (this)
	Calculate the surface area of the aabb. More...

pure logical function	aabb_less (this, other)
	Less than comparison operator. More...

pure logical function	aabb_greater (this, other)
	Greater than comparison operator. More...

Detailed Description

This is a Fortran implementation of an Axis Aligned Bounding Box (aabb) data structure. The aabb is a box that is aligned to the x, y and z axes. It is defined by two points, the lower left front corner and the upper right back corner. This is the base data structure for the aabb_Tree, which is used to accelerate a Signed Distance Function.

Function/Subroutine Documentation

◆ aabb_contains_other()

logical function aabb::aabb_contains_other	(	class(aabb_t), intent(in)	this,
		class(aabb_t), intent(in)	other
	)

private

Definition at line 449 of file aabb.f90.

◆ aabb_contains_point()

logical function aabb::aabb_contains_point	(	class(aabb_t), intent(in)	this,
		real(kind=dp), dimension(3), intent(in)	p
	)

private

Definition at line 464 of file aabb.f90.

◆ aabb_get_center()

pure real(kind=dp) function, dimension(3) aabb::aabb_get_center ( class(aabb_t), intent(in) this )

private

Definition at line 412 of file aabb.f90.

◆ aabb_get_depth()

pure real(kind=dp) function aabb::aabb_get_depth ( class(aabb_t), intent(in) this )

private

Definition at line 380 of file aabb.f90.

◆ aabb_get_diagonal()

pure real(kind=dp) function, dimension(3) aabb::aabb_get_diagonal ( class(aabb_t), intent(in) this )

private

Definition at line 420 of file aabb.f90.

◆ aabb_get_diameter()

pure real(kind=dp) function aabb::aabb_get_diameter ( class(aabb_t), intent(in) this )

private

Definition at line 396 of file aabb.f90.

◆ aabb_get_height()

pure real(kind=dp) function aabb::aabb_get_height ( class(aabb_t), intent(in) this )

private

Definition at line 388 of file aabb.f90.

◆ aabb_get_max()

pure real(kind=dp) function, dimension(3) aabb::aabb_get_max ( class(aabb_t), intent(in) this )

private

Definition at line 364 of file aabb.f90.

◆ aabb_get_min()

pure real(kind=dp) function, dimension(3) aabb::aabb_get_min ( class(aabb_t), intent(in) this )

private

Definition at line 356 of file aabb.f90.

◆ aabb_get_surface_area()

pure real(kind=dp) function aabb::aabb_get_surface_area ( class(aabb_t), intent(in) this )

private

Definition at line 404 of file aabb.f90.

◆ aabb_get_width()

pure real(kind=dp) function aabb::aabb_get_width ( class(aabb_t), intent(in) this )

private

Definition at line 372 of file aabb.f90.

◆ aabb_greater()

pure logical function aabb::aabb_greater	(	class(aabb_t), intent(in)	this,
		class(aabb_t), intent(in)	other
	)

private

Definition at line 566 of file aabb.f90.

◆ aabb_init()

subroutine aabb::aabb_init	(	class(aabb_t), intent(inout)	this,
		real(kind=dp), dimension(3), intent(in)	lower_left_front,
		real(kind=dp), dimension(3), intent(in)	upper_right_back
	)

private

Parameters

lower_left_front	The lower left front corner of the aabb.
upper_right_back	The upper right back corner of the aabb.

Definition at line 336 of file aabb.f90.

◆ aabb_less()

pure logical function aabb::aabb_less	(	class(aabb_t), intent(in)	this,
		class(aabb_t), intent(in)	other
	)

private

Definition at line 529 of file aabb.f90.

◆ aabb_overlaps()

logical function aabb::aabb_overlaps	(	class(aabb_t), intent(in)	this,
		class(aabb_t), intent(in)	other
	)

private

Definition at line 432 of file aabb.f90.

◆ add_padding()

subroutine aabb::add_padding	(	class(aabb_t), intent(inout)	this,
		real(kind=dp), intent(in)	padding
	)

This function adds padding to the aabb. The padding is a multiple of the diameter of the aabb. This is used to avoid numerical issues when the object itself it axis aligned.

Parameters

[in] padding The padding of the aabb.

Definition at line 223 of file aabb.f90.

◆ calculate_surface_area()

pure real(kind=dp) function aabb::calculate_surface_area ( class(aabb_t), intent(in) this )

private

Definition at line 513 of file aabb.f90.

◆ get_aabb()

type(aabb_t) function, public aabb::get_aabb	(	class(*), intent(in)	object,
		real(kind=dp), intent(in), optional	padding
	)

This function is used to get the aabb of a predefined object. Optionally, the user can define the padding of the aabb, which is a multiple of the diameter of the aabb. This is used to avoid numerical issues when the object itself it axis aligned.

Current support:

Triangle (tri_t)
Quadrilateral (quad_t)
Tetrahedron (tet_t)
Hexahedron (hex_t)
Mesh (mesh_t)
Triangular mesh (tri_mesh_t)
Tetrahedral mesh (tet_mesh_t)

Parameters

[in]	object	The object to get the aabb of.
[in]	padding	The padding of the aabb.

Returns: The aabb of the object.

Definition at line 180 of file aabb.f90.

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◆ get_aabb_element()

type(aabb_t) function aabb::get_aabb_element ( class(element_t), intent(in) object )

private

This function calculates the aabb of an element. The aabb is defined by the lower left front corner and the upper right back corner. The aabb is calculated by finding the minimum and maximum x, y and z coordinate for all points in the arbitrary element type.

Parameters

object The arbitrary element to get the aabb of.

Returns: The aabb of the element.

Definition at line 243 of file aabb.f90.

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◆ get_aabb_mesh()

type(aabb_t) function aabb::get_aabb_mesh ( type(mesh_t), intent(in) object )

private

This function calculates the aabb of a mesh. The aabb is defined by the lower left front corner and the upper right back corner. The aabb is calculated by merging the aabb of all elements in the mesh.

Parameters

object The mesh to get the aabb of.

Returns: The aabb of the mesh.

Definition at line 270 of file aabb.f90.

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◆ get_aabb_tet_mesh()

type(aabb_t) function aabb::get_aabb_tet_mesh ( type(tet_mesh_t), intent(in) object )

private

This function calculates the aabb of a mesh. The aabb is defined by the lower left front corner and the upper right back corner. The aabb is calculated by merging the aabb of all elements in the mesh.

Parameters

object The tetrahedral mesh to get the aabb of.

Returns: The aabb of the mesh.

Definition at line 314 of file aabb.f90.

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◆ get_aabb_tri_mesh()

type(aabb_t) function aabb::get_aabb_tri_mesh ( type(tri_mesh_t), intent(in) object )

private

This function calculates the aabb of a mesh. The aabb is defined by the lower left front corner and the upper right back corner. The aabb is calculated by merging the aabb of all elements in the mesh.

Parameters

object The triangular mesh to get the aabb of.

Returns: The aabb of the mesh.

Definition at line 292 of file aabb.f90.

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◆ intersection_aabb()

type(aabb_t) function aabb::intersection_aabb	(	class(aabb_t), intent(in)	box1,
		class(aabb_t), intent(in)	box2
	)

private

Definition at line 495 of file aabb.f90.

◆ merge_aabb()

type(aabb_t) function aabb::merge_aabb	(	class(aabb_t), intent(in)	box1,
		class(aabb_t), intent(in)	box2
	)

private

Definition at line 481 of file aabb.f90.

Data Types

Functions/Subroutines

Detailed Description

Function/Subroutine Documentation

◆ aabb_contains_other()

◆ aabb_contains_point()

◆ aabb_get_center()

◆ aabb_get_depth()

◆ aabb_get_diagonal()

◆ aabb_get_diameter()

◆ aabb_get_height()

◆ aabb_get_max()

◆ aabb_get_min()

◆ aabb_get_surface_area()

◆ aabb_get_width()

◆ aabb_greater()

◆ aabb_init()

◆ aabb_less()

◆ aabb_overlaps()

◆ add_padding()

◆ calculate_surface_area()

◆ get_aabb()

◆ get_aabb_element()

◆ get_aabb_mesh()

◆ get_aabb_tet_mesh()

◆ get_aabb_tri_mesh()

◆ intersection_aabb()

◆ merge_aabb()