Unigine::BoundSphere Struct

Header:

#include <UnigineMathLibBounds.h>

This structure serves to construct the bounding sphere in single precision coordinates.

NoticeInstances of this structure are deleted automatically when it is necessary.

In case of double precision coordinates, the bounding sphere should be constructed by using the WorldBoundSphere structure. It includes the same functions as the BoundSphere structure, but its functions deal with the double precision coordinates.

NoticeTo support both single and double precision builds, you can use the WorldBoundSphere structure only. The engine will automatically substitute it with the BoundSphere if it is required.

Methods:

Name	Description View: Sort by:
BoundSphere	Constructor.
isValid	Checks the bounding sphere status.
operator =	Assignment operator for the bounding sphere.
clear	Clears the bounding sphere.
set	Sets the bounding sphere by its center and radius.
setCenter	Sets the specified coordinates for the center of the bounding sphere.
setTransform	Sets the given transformation matrix to bounding sphere.
compare	Compares the bounding sphere with the given one.
operator ==	Compares the bounding sphere with the given one according to the degree of precision equal to 1.
operator !=	Bounding spheres not equal comparison operator.
expand	Expands the current bounding sphere to include the given point.
expandRadius	Expands the radius of the bounding sphere.
inside	Checks if the given point is inside the current bounding sphere.
insideValid	Checks if the given point is inside the current bounding sphere.
insideAll	Checks if the whole specified bounding sphere is inside the current bounding sphere.
insideAllValid	Checks if the whole given bounding sphere is inside the current bounding sphere.
rayIntersection	Checks for an intersection of a ray with the current bounding sphere.
getIntersection	Checks for an intersection of a line with the current bounding sphere.
rayIntersectionValid	Checks for an intersection of a ray with the current bounding sphere.
getIntersectionValid	Checks for an intersection of a line with the current bounding sphere.
distance	Returns the distance from the origin of coordinates to the closest point of the current bounding sphere.
distanceValid	Returns the distance from the origin of coordinates to the closest point of the current bounding sphere.
isCameraVisible	Returns a value indicating if the bounding sphere is visible fro the camera.

BoundSphere Class

Members

BoundSphere ( ) #

Constructor. Creates an empty bounding sphere.

BoundSphere ( const vec3 & center, float radius ) #

Constructor. Initialization by the center and radius of the bounding sphere.

Arguments

const vec3 & center - The bounding sphere center.
float radius - The bounding sphere radius.

BoundSphere ( float x, float y, float z, float radius ) #

Constructor. Initialization by the coordinates of the center and radius of the bounding sphere.

Arguments

float x - X-coordinate of the center of the bounding sphere.
float y - Y-coordinate of the center of the bounding sphere.
float z - Z-coordinate of the center of the bounding sphere.
float radius - Radius of the bounding sphere.

BoundSphere ( const vec3 * points, int num_points, bool optimal ) #

Constructor. Initialization by the vector of points.

Arguments

const vec3 * points - Vector of points.
int num_points - Number of points in the vector.
bool optimal - Flag defining if the optimal sphere should be used. If false, the sphere will be expanded for including all the given points.

BoundSphere ( const BoundSphere & bs ) #

Initialization by the bounding sphere.

Arguments

const BoundSphere & bs - The bounding sphere.

BoundSphere ( const BoundSphere & bs, const mat4 & transform ) #

Constructor. Initialization by the bounding sphere and setting the given transformation matrix to the new bounding sphere.

Arguments

const BoundSphere & bs - The bounding sphere.
const mat4 & transform - Transformation matrix.

explicit BoundSphere ( const BoundBox & bb ) #

Constructor. Initialization by the bounding box.

Arguments

const BoundBox & bb - The bounding box.

BoundSphere & operator= ( const BoundSphere & bs ) #

Assignment operator for the bounding sphere.

Arguments

const BoundSphere & bs - The bounding sphere.

void clear ( ) #

Clears the bounding sphere.

void set ( const Math::vec3 & center, float radius ) #

Sets the bounding sphere by its center and radius.

Arguments

const Math::vec3 & center - Center of the bounding sphere.
float radius - Radius of the bounding sphere.

void set ( float x_, float y_, float z_, float radius_ ) #

Sets the bounding sphere by the specified coordinates of the center and radius.

Arguments

float x_ - X-coordinate of the center of the bounding sphere.
float y_ - Y-coordinate of the center of the bounding sphere.
float z_ - Z-coordinate of the center of the bounding sphere.
float radius_ - Radius of the bounding sphere.

void set ( const Math::vec3 * points, int num_points, bool optimal ) #

Set the bounding sphere by a vector of points.

Arguments

const Math::vec3 * points - Vector of points.
int num_points - Number of points in the vector.
bool optimal - Flag defining if the optimal sphere should be used. If false, the sphere will be expanded for including all the given points.

void set ( const BoundSphere & bs ) #

Sets the bounding sphere.

Arguments

const BoundSphere & bs - Bounding sphere.

void set ( const BoundSphere & bs, const Math::mat4 & transform ) #

Sets the bounding sphere by a bounding sphere with a transformation matrix taken into account.

Arguments

const BoundSphere & bs - Bounding sphere.
const Math::mat4 & transform - Transformation matrix.

void set ( const BoundBox & bb ) #

Sets the bounding sphere by the bounding box.

Arguments

const BoundBox & bb - Bounding box.

void setCenter ( const vec3& center ) #

Sets the specified coordinates for the center of the bounding sphere.

Arguments

const vec3& center - Coordinates of the center of the bounding sphere.

void setTransform ( const Math::mat4 & transform ) #

Sets the given transformation matrix to bounding sphere.

Arguments

const Math::mat4 & transform - Transformation matrix.

void setTransform ( const Math::dmat4 & transform ) #

Sets the given transformation matrix to bounding sphere.

Arguments

const Math::dmat4 & transform - Transformation matrix.

int compare ( const BoundSphere & bs ) #

Compares the bounding sphere with the given one. The degree of precision is equal to 1.0e-6f.

Arguments

const BoundSphere & bs - The bounding sphere to compare with.

Return value

1 if the radii and the centers of both bounding spheres are equal; otherwise, 0.

int operator== ( const BoundSphere & bs ) const#

Compares the bounding sphere with the given one according to the degree of precision equal to 1.0e-6f.

Arguments

const BoundSphere & bs - The bounding sphere to compare with.

Return value

1 if the radii and the centers of both bounding spheres are equal; otherwise, 0.

int operator!= ( const BoundSphere & bs ) const#

Bounding spheres not equal comparison operator.

Arguments

const BoundSphere & bs - The bounding sphere to compare with.

Return value

1 if the radii and the centers of both bounding spheres are not equal; otherwise, 0.

void expand ( const Math::vec3 & point ) #

Expands the current bounding sphere to include the given point.

Arguments

const Math::vec3 & point - Coordinates of the point.

void expand ( const Math::vec3 * points, int num_points ) #

Expands the current bounding sphere for including all points in the vector.

Arguments

const Math::vec3 * points - Vector of points.
int num_points - Number of points.

void expand ( const BoundSphere & bs ) #

Expands the current bounding sphere to include the given bounding sphere.

Arguments

const BoundSphere & bs - Bounding sphere to be included.

void expand ( const BoundBox & bb ) #

Expands the current bounding sphere to include the given bounding box.

Arguments

const BoundBox & bb - Bounding box to be included.

void expandRadius ( const Math::vec3 & point ) #

Expands the radius of the bounding sphere.Expands the radius of the bounding sphere.

Source code (C++)

float r = length(center - point);
if (center.w < r)
	radius = r;

Arguments

const Math::vec3 & point - Point coordinates setting the end point of radius.

void expandRadius ( const Math::vec3 * points, int num_points ) #

Expands the radius of the current bounding sphere for including all points in the vector.

Arguments

const Math::vec3 * points - Vector of points.
int num_points - Number of points.

void expandRadius ( const BoundSphere & bs ) #

Expands the radius of the bounding sphere by using the radius of the given bounding sphere.Expands the radius of the bounding sphere by using the radius of the given bounding sphere.

Source code (C++)

float r = length(bs.center - center) + bs.radius;
if (center.w < r)
	radius = r;

Arguments

const BoundSphere & bs - Bounding sphere.

void expandRadius ( const BoundBox & bb ) #

Expands the radius of the bounding sphere by using the max and min points of the given bounding box.Expands the radius of the bounding sphere by using the max and min points of the given bounding box. It uses the expandRadius method.

Source code (C++)

const vec3 &min = bb.getMin();
const vec3 &max = bb.getMax();
expandRadius(vec3(min.x, min.y, min.z));
expandRadius(vec3(max.x, min.y, min.z));
expandRadius(vec3(min.x, max.y, min.z));
expandRadius(vec3(max.x, max.y, min.z));
expandRadius(vec3(min.x, min.y, max.z));
expandRadius(vec3(max.x, min.y, max.z));
expandRadius(vec3(min.x, max.y, max.z));
expandRadius(vec3(max.x, max.y, max.z));

Arguments

const BoundBox & bb - Bounding box.

bool inside ( const Math::vec3 & point ) const#

Checks if the given point is inside the current bounding sphere.

Arguments

const Math::vec3 & point - Point coordinates.

Return value

true if the given point is inside the bounding sphere; otherwise, false.

bool inside ( const Math::vec3 & point, float radius ) const#

Checks if the sphere is inside the bounding sphere.

Arguments

const Math::vec3 & point - Center of the sphere.
float radius - Radius of the sphere.

Return value

true if the sphere is inside the bounding sphere; otherwise, false.

bool inside ( const Math::vec3 & min, const Math::vec3 & max ) const#

Checks if the box is inside the bounding sphere.

Arguments

const Math::vec3 & min - The box minimum coordinates.
const Math::vec3 & max - The box maximum coordinates.

Return value

true if the box is inside the bounding sphere; otherwise, false.

bool inside ( const BoundSphere & bs ) const#

Checks if the specified bounding sphere is inside the bounding sphere.

Arguments

const BoundSphere & bs - Bounding sphere.

Return value

true if the specified bounding sphere is inside the bounding sphere; otherwise, false.

bool inside ( const BoundBox & bb ) const#

Checks if the bounding box is inside the bounding sphere.

Arguments

const BoundBox & bb - Bounding box.

Return value

true if the bounding box is inside the bounding sphere; otherwise, false.

bool insideValid ( const Math::vec3 & point ) const#

Checks if the given point is inside the current bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const Math::vec3 & point - Point.

Return value

true if the given point is inside the bounding sphere; otherwise, false.

bool insideValid ( const Math::vec3 & point, float radius ) const#

Checks if the given sphere is inside the current bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const Math::vec3 & point - Cente of the sphere.
float radius - Radius of the sphere.

Return value

true if the sphere is inside the bounding sphere; otherwise, false.

bool insideValid ( const Math::vec3 & min, const Math::vec3 & max ) const#

Checks if the box is inside the bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const Math::vec3 & min - The box minimum coordinates.
const Math::vec3 & max - The box maximum coordinates.

Return value

true if the box is inside the bounding sphere; otherwise, false.

bool insideValid ( const BoundSphere & bs ) const#

Checks if the bounding sphere is inside the bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const BoundSphere & bs - The bounding sphere.

Return value

true if the bounding sphere is inside the bounding sphere; otherwise, false.

bool insideValid ( const BoundBox & bb ) const#

Checks if the bounding box is inside the bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const BoundBox & bb - The bounding box.

Return value

true if the bounding box is inside the bounding sphere; otherwise, false.

bool insideAll ( const BoundSphere & bs ) const#

Checks if the whole specified bounding sphere is inside the current bounding sphere.

Arguments

const BoundSphere & bs - Bounding sphere.

Return value

true if the whole bounding sphere is inside the bounding sphere; otherwise, false.

bool insideAll ( const BoundBox & bb ) const#

Checks if the whole specified bounding box is inside the current bounding sphere.

Arguments

const BoundBox & bb - Bounding box.

Return value

true if the whole bounding box is inside the bounding sphere; otherwise, false.

bool insideAllValid ( const BoundSphere & bs ) const#

Checks if the whole given bounding sphere is inside the current bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const BoundSphere & bs - Bounding sphere.

Return value

true if the whole bounding sphere is inside the bounding sphere; otherwise, false.

bool insideAllValid ( const BoundBox & bb ) const#

Checks if the whole given bounding box is inside the current bounding sphere.

NoticeThe method doesn't check if the bounding sphere is valid (has a positive radius).

Arguments

const BoundBox & bb - Bounding box.

Return value

true if the whole bounding box is inside the bounding sphere; otherwise, false.

bool rayIntersection ( const Math::vec3 & point, const Math::vec3 & direction ) const#

Checks for an intersection of a ray with the current bounding sphere.

Arguments

const Math::vec3 & point - The starting point of the ray.
const Math::vec3 & direction - The direction vector of the ray.

Return value

true if an intersection has occurred; otherwise, false.

bool getIntersection ( const Math::vec3 & p0, const Math::vec3 & p1 ) const#

Checks for an intersection of a line with the current bounding sphere.

Arguments

const Math::vec3 & p0 - The starting point of the line.
const Math::vec3 & p1 - The ending point of the line.

Return value

true if an intersection has occurred; otherwise, false.

bool rayIntersectionValid ( const Math::vec3 & point, const Math::vec3 & direction ) const#

Checks for an intersection of a ray with the current bounding sphere.

NoticeThis method doesn't check if the current bounding sphere is valid (has a positive radius).

Arguments

const Math::vec3 & point - The starting point of the ray.
const Math::vec3 & direction - The direction vector of the ray.

Return value

true if an intersection has occurred; otherwise, false.

bool getIntersectionValid ( const Math::vec3 & p0, const Math::vec3 & p1 ) const#

Checks for an intersection of a line with the current bounding sphere.

NoticeThis method doesn't check if the current bounding sphere is valid (has a positive radius).

Arguments

const Math::vec3 & p0 - The starting point of the line.
const Math::vec3 & p1 - The ending point of the line.

Return value

true if an intersection has occurred; otherwise, false.

float distance ( ) const#

Returns the distance from the origin of coordinates to the closest point of the current bounding sphere.

Return value

Distance from the origin, in units.

float distance ( const Math::vec3 & point ) const#

Returns the distance from the given point to the closest point of the current bounding sphere.

Arguments

const Math::vec3 & point - Coordinates of the point.

Return value

Distance from the point, in units.

float distanceValid ( ) const#

Returns the distance from the origin of coordinates to the closest point of the current bounding sphere.

Return value

Distance from the origin, in units.

float distanceValid ( const Math::vec3 & point ) const#

Returns the distance from the given point to the closest point of the current bounding sphere.

Arguments

const Math::vec3 & point - Point

Return value

Distance from the point, in units.

bool isValid ( ) const#

Checks the bounding sphere status.

Return value

true if the bounding sphere radius has a positive value; otherwise, false.

bool isCameraVisible ( const vec3& camera, float min_distance, float max_distance ) const#

Returns a value indicating if the bounding sphere is visible fro the camera.

Arguments

const vec3& camera - Coordinates of the camera position.
float min_distance - Minimum visibility distance, in meters.
float max_distance - Maximum visibility distance, in meters.

Return value

true if the bounding sphere radius has a positive value; otherwise, false.

Last update: 26.04.2022

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