geomUtilFunctions.h File Reference

#include "util/point.h"
#include <vector>

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Namespaces
namespace	geom

Functions
std::vector< util::Point >	geom::getCornerPoints (size_t dim, const std::pair< util::Point, util::Point > &box)
	Returns all corner points in the box.
std::vector< std::pair< util::Point, util::Point > >	geom::getEdges (size_t dim, const std::pair< util::Point, util::Point > &box)
	Returns all corner points in the box.
util::Point	geom::getCenter (size_t dim, const std::pair< util::Point, util::Point > &box)
	Returns center point.
double	geom::inscribedRadiusInBox (size_t dim, const std::pair< util::Point, util::Point > &box)
	Computes the radius of biggest circle/sphere completely within the object.
double	geom::circumscribedRadiusInBox (size_t dim, const std::pair< util::Point, util::Point > &box)
	Computes the radius of smallest circle/sphere which can have the box inside.
util::Point	geom::getPointOnLine (const util::Point &p1, const util::Point &p2, const double &s)
	Returns point in line formed by points p1 and p2.
double	geom::computeMeshSize (const std::vector< util::Point > &nodes)
	Computes minimum distance between any two nodes.
double	geom::computeMeshSize (const std::vector< util::Point > &nodes, size_t start, size_t end)
	Computes minimum distance between any two nodes.
std::pair< util::Point, util::Point >	geom::computeBBox (const std::vector< util::Point > &nodes)
	Computes bounding box for vector nodes.
double	geom::computeInscribedRadius (const std::pair< util::Point, util::Point > &box)
	Computes maximum radius of circle/sphere within a given box.
std::pair< util::Point, util::Point >	geom::toPointBox (const std::vector< double > &p1, const std::vector< double > &p2)
	Create box from two coordinate data.
double	geom::triangleArea (const util::Point &x1, const util::Point &x2, const util::Point &x3)
	Compute area of triangle.
void	geom::computeNonlocalNeighborhood (const std::vector< util::Point > &nodes, double horizon, std::vector< std::vector< size_t > > &nodeNeighs)
	Partitions the nodes based on node neighborlist supplied. Function first creates a graph with nodes as vertices and edges given by node neighbors. Then the metis function is called to partition the graph into specified number of parts.
void	geom::ellipsoidRotationMatrix (const Ellipsoid &e, double R[9])
	Row-major 3×3 rotation \(\mathbf R\) from ellipsoid axis–angle (identity if \(\theta=0\)).
Methods to check point in domain
bool	geom::isPointInsideBox (util::Point x, size_t dim, const std::pair< util::Point, util::Point > &box)
	Returns true if point is inside box.
bool	geom::isPointInsideRectangle (util::Point x, double x_min, double x_max, double y_min, double y_max)
	Checks if point is inside a rectangle.
bool	geom::isPointInsideRectangle (util::Point x, util::Point x_lb, util::Point x_rt)
	Checks if point is inside a rectangle.
bool	geom::isPointInsideAngledRectangle (util::Point x, double x_min, double x_max, double y_min, double y_max, double theta)
	Checks if point is inside an angled rectangle.
bool	geom::isPointInsideCuboid (util::Point x, util::Point x_lbb, util::Point x_rtf)
	Checks if point is inside a cuboid.
bool	geom::isPointInsideCylinder (const util::Point &p, const double &length, const double &radius, const util::Point &axis)
	Returns true if point is inside the cylinder.
bool	geom::isPointInsideCylinder (const util::Point &p, const double &radius, const util::Point &x1, const util::Point &x2)
	Returns true if point is inside the cylinder.
bool	geom::isPointInsideEllipse (const util::Point &p, const util::Point &center, const std::vector< double > &radius_vec, unsigned int dim)
	Returns true if point is inside the ellipsoid.
bool	geom::isPointInsideEllipse (const util::Point &p, const util::Point &center, const std::vector< double > &radius_vec, unsigned int dim, double &d)
	Returns true if point is inside the ellipsoid.
Methods to check intersection of various objects
bool	geom::areBoxesNear (const std::pair< util::Point, util::Point > &b1, const std::pair< util::Point, util::Point > &b2, const double &tol, size_t dim)
	Checks if given two boxes are within given distance from each other.
bool	geom::doLinesIntersect (const std::pair< util::Point, util::Point > &line_1, const std::pair< util::Point, util::Point > &line_2)
	Do lines intersect.
double	geom::distanceBetweenLines (const std::pair< util::Point, util::Point > &line_1, const std::pair< util::Point, util::Point > &line_2)
	Compute distance between lines.
double	geom::distanceBetweenSegments (const std::pair< util::Point, util::Point > &line_1, const std::pair< util::Point, util::Point > &line_2)
	Compute distance between lines.
double	geom::distanceBetweenPlanes (const std::pair< util::Point, util::Point > &plane_1, const std::pair< util::Point, util::Point > &plane_2)
	Compute distance between planes.
double	geom::pointDistanceLine (const util::Point &p, const std::pair< util::Point, util::Point > &line)
	Compute distance between point and line.
double	geom::pointDistanceSegment (const util::Point &p, const std::pair< util::Point, util::Point > &line)
	Compute distance between point and line.
double	geom::pointDistancePlane (const util::Point &p, const std::pair< util::Point, util::Point > &plane)
	Compute distance between point and plane.