Collaboration diagram for Three-Dimensional Base Objects:

Classes
class	MbAxis3D
	The axis-vector which is attached to a fixed point. More...

class	MbCartPoint3D
	The three-dimensional point. More...

class	MbCube
	The bounding box. More...

class	MbHomogeneous3D
	Extended point with homogeneous coordinates in the three-dimensional space. More...

class	MbMatrix3D
	The extended matrix of transformation in a three-dimensional space. More...

class	MbOrientedBox
	An arbitrarily oriented bounding box (OBB) that includes some geometric object within box boundaries. More...

class	MbPlacement3D
	Local coordinate system in three dimensional space. More...

class	MbRect1D
	One-dimensional box. More...

class	MbRect2D
	A two-dimensional box. More...

class	MbRect3D
	Three-dimensional box. More...

class	MbVector3D
	Vector in three-dimensional space. More...

Enumerations
enum	MbeLocalSystemType3D { ls_CartesianSystem , ls_CylindricalSystem , ls_SphericalSystem }
	Types of local coordinate systems in three dimensional space. More...

Functions
template<class BBox >
bool	c3d::EqualCubes (const BBox &c1, const BBox &c2, double eps)
	Check for equality of boxes with controlled tolerance. More...

MbCartPoint3D	operator* (const MbCartPoint3D &pnt, double factor)
	The multiplication of a point by a number. More...

MbCartPoint3D	operator/ (const MbCartPoint3D &pnt, double factor)
	The division of a point by a number. More...

MbCartPoint3D	operator* (double factor, const MbCartPoint3D &pnt)
	The multiplication of point coordinates by a number. More...

bool	MbPlacement3D::LineIntersectionPoint (const MbCartPoint3D &origin, const MbVector3D &direction, MbCartPoint3D &p, double &d, double eps=ANGLE_EPSILON) const
	Find the nearest point of intersection with line. More...

void	CartesianToCylindrical (double &x, double &y, double &z)
	Function for transforming coordinates from the Cartesian coordinate system to a cylindrical coordinate system. More...

void	CylindricalToCartesian (double &x, double &y, double &z)
	Function for transforming coordinates from a cylindrical coordinate system to a Cartesian coordinate system. More...

void	CylindricalToSpherical (double &x, double &y, double &z)
	Function for transforming coordinates from a cylindrical coordinate system to a spherical coordinate system. More...

void	CartesianToSpherical (double &x, double &y, double &z)
	Function for transforming coordinates from a Cartesian coordinate system to a spherical coordinate system. More...

void	SphericalToCartesian (double &x, double &y, double &z)
	Function for transforming coordinates from a spherical coordinate system to a Cartesian coordinate system. More...

void	SphericalToCylindrical (double &x, double &y, double &z)
	Function for transforming coordinates from a spherical coordinate system to a cylindrical coordinate system. More...

bool	c3d::Nonzero (const MbVector3D &vec, double eps)
	Check equality of vector to zero with given tolerance. More...

Detailed Description

Enumeration Type Documentation

◆ MbeLocalSystemType3D

enum MbeLocalSystemType3D

Types of local coordinate systems in three dimensional space.

Enumerator
ls_CartesianSystem	Cartesian coordinate system.
ls_CylindricalSystem	Cylindrical coordinate system.
ls_SphericalSystem	Spherical coordinate system.

Function Documentation

◆ EqualCubes()

template<class BBox >

bool c3d::EqualCubes	(	const BBox &	c1,
		const BBox &	c2,
		double	eps
	)

Check for equality of boxes with controlled tolerance.

◆ operator*() [1/2]

MbCartPoint3D operator*	(	const MbCartPoint3D &	pnt,
		double	factor
	)

inline

The multiplication of a point by a number.

Parameters

[in]	pnt	- A point.
[in]	factor	- A number.

Returns: Returns a point multiplied by a number.

◆ operator/()

MbCartPoint3D operator/	(	const MbCartPoint3D &	pnt,
		double	factor
	)

inline

The division of a point by a number.

Parameters

[in]	pnt	- A point.
[in]	factor	- A number.

Returns: Returns a point divided by a number.

◆ operator*() [2/2]

MbCartPoint3D operator*	(	double	factor,
		const MbCartPoint3D &	pnt
	)

inline

The multiplication of point coordinates by a number.

Parameters

[in]	factor	- A number.
[in]	pnt	- A point.

Returns: A point with coordinates multiplied by factor.

◆ LineIntersectionPoint()

bool MbPlacement3D::LineIntersectionPoint	(	const MbCartPoint3D &	origin,
		const MbVector3D &	direction,
		MbCartPoint3D &	p,
		double &	d,
		double	eps = `ANGLE_EPSILON`
	)		const

Find the nearest point of intersection with line.

Find the nearest point of intersection with a line. The line is set by its origin and direction: p(d) = origin + d * direction.

Parameters

[in]	origin	- The origin of the input line.
[in]	direction	- The direction of the input line.
[out]	p	- The found intersection point.
[out]	d	- A parameter of the intersection point along the line.
[in]	eps	- A tolerance determining the situation when the line is parallel to the plane.

Returns: Returns true if the intersection point has been found.

◆ CartesianToCylindrical()

void CartesianToCylindrical	(	double &	x,
		double &	y,
		double &	z
	)

Function for transforming coordinates from the Cartesian coordinate system to a cylindrical coordinate system.

Function for transforming coordinates from Cartesian coordinate system to a cylindrical coordinate system

Parameters