util::geometry Namespace Reference

Provides geometrical methods such as point inside rectangle. More...

Functions
double	angle (util::Point3 vec_1, util::Point3 vec_2, size_t dim, bool anticlock=false)
	Computes angle between two vectors. More...
int	direction (util::Point3 A, util::Point3 B, util::Point3 C)
	Checks if the point C in on the line between A and B. More...
bool	doLinesIntersect (util::Point3 A, util::Point3 B, util::Point3 C, util::Point3 D)
	Checks if the two lines between A and B and between C and C intersect. More...
util::Point3	getCenter (const std::vector< util::Point3 > &nodes, const size_t &elem_type)
	Computes the centroid of element. More...
std::pair< util::Point3, double >	getCenterAndVol (const std::vector< util::Point3 > &nodes, const size_t &elem_type)
	Computes the centroid and volume of element. More...
std::vector< util::Point3 >	getCornerPoints (size_t dim, const std::pair< util::Point3, util::Point3 > &box)
	Returns all corner points in the box. More...
double	getTetVolume (const std::vector< util::Point3 > &nodes)
	Computes the volume of tetrahedron. More...
double	getTriangleArea (const std::vector< util::Point3 > &nodes)
	Computes the area of triangle. More...
bool	isPointinCircle (util::Point3 A, util::Point3 center, double radius)
	Checks if the point A is within the circle with the center and the radius. More...
bool	isPointInsideAngledRectangle (util::Point3 x, double x_min, double x_max, double y_min, double y_max, double theta)
	Checks if point is inside an angled rectangle. More...
bool	isPointInsideCuboid (size_t dim, util::Point3 x, util::Point3 x_lbb, util::Point3 x_rtf)
	Checks if point is inside a cuboid (rectangle in 2-d, line in 1-d) More...
bool	isPointInsideRectangle (util::Point3 x, double x_min, double x_max, double y_min, double y_max)
	Checks if point is inside a rectangle. More...
bool	isPointInsideRectangle (util::Point3 x, util::Point3 x_lb, util::Point3 x_rt)
	Checks if point is inside a rectangle. More...
bool	onLine (util::Point3 A, util::Point3 B, util::Point3 C)
	Checks if the point C in on the between A and B. More...

Detailed Description

Provides geometrical methods such as point inside rectangle.

Function Documentation

angle()

double util::geometry::angle	(	util::Point3	vec_1,
		util::Point3	vec_2,
		size_t	dim,
		bool	anticlock = false
	)

Computes angle between two vectors.

Parameters

vec_1	Vector 1
vec_2	Vector 2
dim	Dimension
anticlock	Angle convention

Returns

angle Angle between vector 1 and 2

Referenced by angle().

Here is the call graph for this function:

Here is the caller graph for this function:

direction()

int util::geometry::direction	(	util::Point3	A,
		util::Point3	B,
		util::Point3	C
	)

Checks if the point C in on the line between A and B.

Parameters

A	Point 1
B	Point 2
C	Point 3

Returns

Direction

Referenced by doLinesIntersect().

Here is the caller graph for this function:

doLinesIntersect()

bool util::geometry::doLinesIntersect	(	util::Point3	A,
		util::Point3	B,
		util::Point3	C,
		util::Point3	D
	)

Checks if the two lines between A and B and between C and C intersect.

Parameters

A	Start point of the first line
B	End point of the first line
C	Start point of the second line
D	End point of the second line

Returns

intersection

Referenced by model::FDModel< T >::is_reaction_force().

Here is the call graph for this function:

Here is the caller graph for this function:

getCenter()

util::Point3 util::geometry::getCenter	(	const std::vector< util::Point3 > &	nodes,
		const size_t &	elem_type
	)

Computes the centroid of element.

Parameters

nodes	Vertices of the element
elem_type	Element type

Returns

Point Centroid

getCenterAndVol()

std::pair< util::Point3, double > util::geometry::getCenterAndVol	(	const std::vector< util::Point3 > &	nodes,
		const size_t &	elem_type
	)

Computes the centroid and volume of element.

Parameters

nodes	Vertices of the element
elem_type	Element type

Returns

Point-volume Pair of centroid and volume

Referenced by fe::Mesh::nodesAtCentroid().

Here is the call graph for this function:

Here is the caller graph for this function:

getCornerPoints()

std::vector< util::Point3 > util::geometry::getCornerPoints	(	size_t	dim,
		const std::pair< util::Point3, util::Point3 > &	box
	)

Returns all corner points in the box.

Parameters

dim	Dimension of the box
box	Pair of points representing cuboid (rectangle in 2d)

Returns

Vector Vector of corner points

getTetVolume()

double util::geometry::getTetVolume

(

const std::vector< util::Point3 > &

nodes

)

Computes the volume of tetrahedron.

Parameters

nodes

Vertices of the tetrahedron

Returns

area Area of tetrahedron

Referenced by getCenterAndVol().

Here is the call graph for this function:

Here is the caller graph for this function:

getTriangleArea()

double util::geometry::getTriangleArea

(

const std::vector< util::Point3 > &

nodes

)

Computes the area of triangle.

Parameters

nodes

Vertices of the triangle

Returns

area Area of triangle

Referenced by getCenterAndVol().

Here is the caller graph for this function:

isPointinCircle()

bool util::geometry::isPointinCircle	(	util::Point3	A,
		util::Point3	center,
		double	radius
	)

Checks if the point A is within the circle with the center and the radius.

Parameters

A	Point 1
center	Center of the circle
radius	Radius of the circle

Returns

Direction

Referenced by loading::ULoading::ULoading().

Here is the caller graph for this function:

isPointInsideAngledRectangle()

bool util::geometry::isPointInsideAngledRectangle	(	util::Point3	x,
		double	x_min,
		double	x_max,
		double	y_min,
		double	y_max,
		double	theta
	)

Checks if point is inside an angled rectangle.

Parameters

x	Point
x_min	X coordinate of left-bottom corner point
x_max	X coordinate of right-top corner point
y_min	Y coordinate of left-bottom corner point
y_max	Y coordinate of right-top corner point
theta	Angle of orientation of rectangle from x-axis

Returns

bool True if point inside rectangle, else false

Referenced by loading::FLoading::FLoading(), and loading::ULoading::ULoading().

Here is the call graph for this function:

Here is the caller graph for this function:

isPointInsideCuboid()

bool util::geometry::isPointInsideCuboid	(	size_t	dim,
		util::Point3	x,
		util::Point3	x_lbb,
		util::Point3	x_rtf
	)

Checks if point is inside a cuboid (rectangle in 2-d, line in 1-d)

Parameters

dim	Dimension
x	Point
x_lbb	Coordinate of left-bottom-back corner point
x_rtf	Coordinate of right-top-front corner point

Returns

bool True if point inside cuboid, else false

Referenced by geometry::DampingGeom::computeDampingCoefficient(), and loading::FLoading::FLoading().

Here is the call graph for this function:

Here is the caller graph for this function:

isPointInsideRectangle() [1/2]

bool util::geometry::isPointInsideRectangle	(	util::Point3	x,
		double	x_min,
		double	x_max,
		double	y_min,
		double	y_max
	)

Checks if point is inside a rectangle.

Parameters

x	Point
x_min	X coordinate of left-bottom corner point
x_max	X coordinate of right-top corner point
y_min	Y coordinate of left-bottom corner point
y_max	Y coordinate of right-top corner point

Returns

bool True if point inside rectangle, else false

Referenced by model::FDModel< T >::checkOutputCriteria(), geometry::DataInterior::DataInterior(), tools::pp::Compute::decomposeSearchNodes(), loading::FLoading::FLoading(), geometry::ComputeInterior::getInteriorFlag(), tools::pp::Compute::getRectsAndNodesForCrackTip(), tools::pp::Compute::init(), tools::pp::Compute::listElemsAndNodesInDomain(), and loading::ULoading::ULoading().

Here is the call graph for this function:

Here is the caller graph for this function:

isPointInsideRectangle() [2/2]

bool util::geometry::isPointInsideRectangle	(	util::Point3	x,
		util::Point3	x_lb,
		util::Point3	x_rt
	)

Checks if point is inside a rectangle.

Parameters

x	Point
x_lb	Coordinate of left-bottom corner point
x_rt	Coordinate of right-top corner point

Returns

bool True if point inside rectangle, else false

Here is the call graph for this function:

onLine()

bool util::geometry::onLine	(	util::Point3	A,
		util::Point3	B,
		util::Point3	C
	)

Checks if the point C in on the between A and B.

Parameters

A	Start point of the first line
B	End point of the first line
C	Point to test

Returns

intersection

Referenced by doLinesIntersect().

Here is the caller graph for this function: