#include <geomObjects.h>

Inheritance diagram for util::geometry::Hexagon:

Collaboration diagram for util::geometry::Hexagon:

Public Member Functions
	Hexagon ()
	Constructor.

	Hexagon (double r, util::Point x=util::Point(0., 0., 0.), util::Point a=util::Point(1., 0., 0.), std::string description="")
	Constructor.

double	volume () const override
	Computes the volume (area in 2d, length in 1d) of object.

util::Point	center () const override
	Computes the center of object.

std::pair< util::Point, util::Point >	box () const override
	Computes the bounding box of object.

std::pair< util::Point, util::Point >	box (const double &tol) const override
	Computes the bounding box of object.

double	inscribedRadius () const override
	Computes the radius of biggest circle/sphere completely within the object.

double	boundingRadius () const override
	Computes the radius of smallest circle/sphere such that object can be fit into it.

std::string	printStr (int nt, int lvl) const override
	Returns the string containing printable information about the object.

void	print (int nt, int lvl) const override
	Prints the information about the object.

void	print () const override
	Prints the information about the object.

Interaction with point
bool	isInside (const util::Point &x) const override
	Checks if point is inside this object.

bool	isOutside (const util::Point &x) const override
	Checks if point is outside of this object.

bool	isNear (const util::Point &x, const double &tol) const override
	Checks if point is within given distance of this object.

bool	isNearBoundary (const util::Point &x, const double &tol, const bool &within) const override
	cons

bool	doesIntersect (const util::Point &x) const override
	Checks if point lies exactly on the boundary.

Interaction with box
TODO implement methods robustly
bool	isInside (const std::pair< util::Point, util::Point > &box) const override
	Checks if box is completely inside.

bool	isOutside (const std::pair< util::Point, util::Point > &box) const override
	Checks if box is outside of the object.

bool	isNear (const std::pair< util::Point, util::Point > &box, const double &tol) const override
	Checks if box is within given distance of this object.

bool	doesIntersect (const std::pair< util::Point, util::Point > &box) const override
	Checks if box intersects this object.

Public Member Functions inherited from util::geometry::GeomObject
	GeomObject (std::string name="", std::string description="")
	Constructor.

Data Fields
std::vector< util::Point >	d_vertices
	Vertices.

util::Point	d_x
	Center.

double	d_r
	Distance between center and the farthest vertex of hexagon.

util::Point	d_a
	Axis: defined as the vector pointing from center to the first vertex.

Data Fields inherited from util::geometry::GeomObject
const std::string	d_name
	name of object

const std::string	d_description
	Further description of object.

std::vector< std::string >	d_tags
	Tags/attributes about the object.

Detailed Description

Defines Hexagon.

Definition at line 1027 of file geomObjects.h.

Constructor & Destructor Documentation

◆ Hexagon() [1/2]

util::geometry::Hexagon::Hexagon ( )

inline

Constructor.

Definition at line 1033 of file geomObjects.h.

                    : GeomObject("hexagon", ""),
                      d_r(0.),
                      d_a(util::Point(1., 0., 0.)),
                      d_x(util::Point()),
                      d_vertices(std::vector<util::Point>(6, util::Point())) {};

◆ Hexagon() [2/2]

util::geometry::Hexagon::Hexagon	(	double	r,
		util::Point	x = `util::Point(0., 0., 0.)`,
		util::Point	a = `util::Point(1., 0., 0.)`,
		std::string	description = `""`
	)

inline

Constructor.

Parameters

r	Radius (distance between center and one of the vertices)
x	Center point
a	Axis vector that will be rotated and scaled by r to obtain coordinates of vertices of hexagon
description	Description of object (e.g., further classification or any tag)

Definition at line 1048 of file geomObjects.h.

                    : GeomObject("hexagon", ""),
                      d_r(r),
                      d_a(a),
                      d_x(x),
                      d_vertices(std::vector<util::Point>(6, util::Point())) {
 
              // generate vertices
              auto rotate_axis = util::Point(0., 0., 1.); // z-axis
              for (int i = 0; i < 6; i++) {
                d_vertices[i] = d_x + d_r * util::rotate(
                        d_a, i * M_PI / 3., rotate_axis);
              }
            };

References d_a, d_r, d_vertices, d_x, and util::rotate().

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Member Function Documentation

◆ boundingRadius()

double util::geometry::Hexagon::boundingRadius ( ) const

overridevirtual

Computes the radius of smallest circle/sphere such that object can be fit into it.

Returns: Radius Radius of bounding circle/sphere

Reimplemented from util::geometry::GeomObject.

Definition at line 647 of file geomObjects.cpp.

                                                     {
 
      return d_r;
    }

◆ box() [1/2]

std::pair< util::Point, util::Point > util::geometry::Hexagon::box ( ) const

overridevirtual

Computes the bounding box of object.

Returns: Pair Left-bottom-back and right-top-front corner points of box

Reimplemented from util::geometry::GeomObject.

Definition at line 629 of file geomObjects.cpp.

                                                                 {
 
      return box(0.);
    }

◆ box() [2/2]

std::pair< util::Point, util::Point > util::geometry::Hexagon::box ( const double & tol ) const

overridevirtual

Computes the bounding box of object.

Parameters

tol	Tolerance/padding used in creating bounding box

Returns: Pair Left-bottom-back and right-top-front corner points of box

Reimplemented from util::geometry::GeomObject.

Definition at line 634 of file geomObjects.cpp.

                                                                                        {
 
      auto p1 = d_x - util::Point(d_r + tol, d_r + tol, d_x[2] + tol);
      auto p2 = d_x + util::Point(d_r + tol, d_r + tol, d_x[2] + tol);
      return {p1, p2};
    }

◆ center()

util::Point util::geometry::Hexagon::center ( ) const

overridevirtual

Computes the center of object.

Returns: Point Coordinates of center

Reimplemented from util::geometry::GeomObject.

Definition at line 625 of file geomObjects.cpp.

                                                {
      return d_x;
    }

◆ doesIntersect() [1/2]

bool util::geometry::Hexagon::doesIntersect ( const std::pair< util::Point, util::Point > & box ) const

overridevirtual

Checks if box intersects this object.

Parameters

box Box

Returns: True True if intersects

Reimplemented from util::geometry::GeomObject.

Definition at line 722 of file geomObjects.cpp.

                                                            {
 
      // need to check all four corner points
      for (auto p: util::getCornerPoints(2, box))
        if (this->isInside(p))
          return true;
 
      return false;
    }

References util::getCornerPoints().

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◆ doesIntersect() [2/2]

bool util::geometry::Hexagon::doesIntersect ( const util::Point & x ) const

overridevirtual

Checks if point lies exactly on the boundary.

Parameters

x Point

Returns: True True if it lies on the boundary

Reimplemented from util::geometry::GeomObject.

Definition at line 689 of file geomObjects.cpp.

                                                                    {
 
      return isNearBoundary(x, 1.0E-8, false);
    }

◆ inscribedRadius()

double util::geometry::Hexagon::inscribedRadius ( ) const

overridevirtual

Computes the radius of biggest circle/sphere completely within the object.

Returns: Radius Radius of inscribed circle/sphere

Reimplemented from util::geometry::GeomObject.

Definition at line 642 of file geomObjects.cpp.

                                                      {
 
      return d_r * 0.5 * std::sqrt(3.);
    }

◆ isInside() [1/2]

bool util::geometry::Hexagon::isInside ( const std::pair< util::Point, util::Point > & box ) const

overridevirtual

Checks if box is completely inside.

Parameters

box Box

Returns: True True if box lies inside

Reimplemented from util::geometry::GeomObject.

Definition at line 694 of file geomObjects.cpp.

                                                            {
 
      for (auto p: util::getCornerPoints(2, box))
        if (!this->isInside(p))
          return false;
 
      return true;
    }

References util::getCornerPoints().

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◆ isInside() [2/2]

bool util::geometry::Hexagon::isInside ( const util::Point & x ) const

overridevirtual

Checks if point is inside this object.

Parameters

x Point

Returns: True If point lies inside

Reimplemented from util::geometry::GeomObject.

Definition at line 652 of file geomObjects.cpp.

                                                               {
 
      if ((x - d_x).length() > d_r)
        return false;
 
      if ((x - d_x).length() < inscribedRadius())
        return true;
 
      return false;
    }

◆ isNear() [1/2]

bool util::geometry::Hexagon::isNear	(	const std::pair< util::Point, util::Point > &	box,
		const double &	tol
	)		const

overridevirtual

Checks if box is within given distance of this object.

Parameters

box	Box
tol	Tolerance used in checking the nearness

Returns: True True if box is inside within the tol distance

Reimplemented from util::geometry::GeomObject.

Definition at line 715 of file geomObjects.cpp.

                                     {
 
      return util::areBoxesNear(this->box(), box, tol, 2);
    }

References util::areBoxesNear().

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◆ isNear() [2/2]

bool util::geometry::Hexagon::isNear	(	const util::Point &	x,
		const double &	tol
	)		const

overridevirtual

Checks if point is within given distance of this object.

Parameters

x	Point
tol	Tolerance used in checking the nearness

Returns: True True if within the tol distance

Reimplemented from util::geometry::GeomObject.

Definition at line 667 of file geomObjects.cpp.

                                                                  {
 
      // get a bigger box containing this object
      auto bbox = box(tol);
 
      return util::isPointInsideBox(x, 2, bbox);
    }

References util::isPointInsideBox().

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◆ isNearBoundary()

bool util::geometry::Hexagon::isNearBoundary	(	const util::Point &	x,
		const double &	tol,
		const bool &	within
	)		const

overridevirtual

cons

Reimplemented from util::geometry::GeomObject.

Definition at line 676 of file geomObjects.cpp.

                                                                {
 
      if ((x - d_x).length() > d_r + tol)
        return false;
 
      if ((x - d_x).length() < inscribedRadius() - tol)
        return false;
 
      return true;
    }

◆ isOutside() [1/2]

bool util::geometry::Hexagon::isOutside ( const std::pair< util::Point, util::Point > & box ) const

overridevirtual

Checks if box is outside of the object.

Parameters

box Box

Returns: True True if box lies outside

Reimplemented from util::geometry::GeomObject.

Definition at line 704 of file geomObjects.cpp.

                                                            {
 
      bool intersect = false;
      for (auto p: util::getCornerPoints(2, box))
        if (!intersect)
          intersect = this->isInside(p);
 
      return !intersect;
    }

References util::getCornerPoints().

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◆ isOutside() [2/2]

bool util::geometry::Hexagon::isOutside ( const util::Point & x ) const

overridevirtual

Checks if point is outside of this object.

Parameters

x Point

Returns: True If point lies outside

Reimplemented from util::geometry::GeomObject.

Definition at line 663 of file geomObjects.cpp.

                                                                {
      return !isInside(x);
    }

◆ print() [1/2]

void util::geometry::Hexagon::print ( ) const

inlineoverridevirtual

Prints the information about the object.

Reimplemented from util::geometry::GeomObject.

Definition at line 1184 of file geomObjects.h.

1184{ print(0, 0); };

util::geometry::Hexagon::print

void print() const override

Prints the information about the object.

Definition geomObjects.h:1184

References print().

Referenced by print().

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◆ print() [2/2]

void util::geometry::Hexagon::print	(	int	nt,
		int	lvl
	)		const

inlineoverridevirtual

Prints the information about the object.

Parameters

nt	Number of tabs to append before printing
lvl	Information level (higher means more information)

Reimplemented from util::geometry::GeomObject.

Definition at line 1177 of file geomObjects.h.

                                                       {
              std::cout << printStr(nt, lvl);
            };

References printStr().

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◆ printStr()

std::string util::geometry::Hexagon::printStr	(	int	nt,
		int	lvl
	)		const

overridevirtual

Returns the string containing printable information about the object.

Parameters

nt	Number of tabs to append before printing
lvl	Information level (higher means more information)

Returns: string String containing printable information about the object

Reimplemented from util::geometry::GeomObject.

Definition at line 733 of file geomObjects.cpp.

                                                                 {
 
      auto tabS = util::io::getTabS(nt);
 
      std::ostringstream oss;
 
      oss << tabS << "------- Hexagon --------" << std::endl << std::endl;
      oss << tabS << "Name = " << d_name << std::endl;
      oss << tabS << "Radius = " << d_r << std::endl;
      oss << tabS << "Center = " << d_x.printStr(0, lvl) << std::endl;
      oss << tabS << "Axis = " << d_a.printStr(0, lvl) << std::endl;
      oss << tabS << "Vertices = " << util::io::printStr(d_vertices, lvl) <<
          std::endl;
      oss << std::endl;
 
      if (lvl == 0)
        oss << std::endl;
 
      return oss.str();
    }

References util::io::getTabS(), and util::io::printStr().

Referenced by print().

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◆ volume()

double util::geometry::Hexagon::volume ( ) const

overridevirtual

Computes the volume (area in 2d, length in 1d) of object.

Returns: Volume Volume of object

Reimplemented from util::geometry::GeomObject.

Definition at line 619 of file geomObjects.cpp.

                                             {
      // https://en.wikipedia.org/wiki/Hexagon
      double r_small = this->inscribedRadius();
      return 2. * std::sqrt(3.) * r_small * r_small;
    }

Field Documentation

◆ d_a

util::Point util::geometry::Hexagon::d_a

Axis: defined as the vector pointing from center to the first vertex.

                   +              +


               +           o           +
                           x            v1

                   +              +

Axis is a vector from x to v1

Definition at line 1208 of file geomObjects.h.

Referenced by Hexagon().

◆ d_r

double util::geometry::Hexagon::d_r

Distance between center and the farthest vertex of hexagon.

Definition at line 1193 of file geomObjects.h.

Referenced by Hexagon().

◆ d_vertices

std::vector<util::Point> util::geometry::Hexagon::d_vertices

Vertices.

Definition at line 1187 of file geomObjects.h.

Referenced by Hexagon().

◆ d_x

util::Point util::geometry::Hexagon::d_x

Center.

Definition at line 1190 of file geomObjects.h.

Referenced by Hexagon().

The documentation for this class was generated from the following files:

/home/user/project/src/util/geomObjects.h
/home/user/project/src/util/geomObjects.cpp

Public Member Functions

Data Fields

Detailed Description

Constructor & Destructor Documentation

◆ Hexagon() [1/2]

◆ Hexagon() [2/2]

Member Function Documentation

◆ boundingRadius()

◆ box() [1/2]

◆ box() [2/2]

◆ center()

◆ doesIntersect() [1/2]

◆ doesIntersect() [2/2]

◆ inscribedRadius()

◆ isInside() [1/2]

◆ isInside() [2/2]

◆ isNear() [1/2]

◆ isNear() [2/2]

◆ isNearBoundary()

◆ isOutside() [1/2]

◆ isOutside() [2/2]

◆ print() [1/2]

◆ print() [2/2]

◆ printStr()

◆ volume()

Field Documentation

◆ d_a

◆ d_r

◆ d_vertices

◆ d_x