#include <Circ.h>

Public Member Functions
	Circ ()
	Creates an indefinite circle. More...

	Circ (const Geom::Ax2 &A2, const double Radius)

void	setAxis (const Geom::Ax1 &A1)

void	setLocation (const Geom::Pnt &P)
	Changes the "Location" point (center) of the circle. More...

void	setPosition (const Geom::Ax2 &A2)
	Changes the position of the circle. More...

void	setRadius (const double Radius)

double	area () const
	Computes the area of the circle. More...

const Geom::Ax1 &	axis () const

double	length () const
	Computes the circumference of the circle. More...

const Geom::Pnt &	location () const

const Geom::Ax2 &	position () const

double	radius () const
	Returns the radius of this circle. More...

Geom::Ax1	xAxis () const

Geom::Ax1	yAxis () const

double	distance (const Geom::Pnt &P) const

double	squareDistance (const Geom::Pnt &P) const
	Computes the square distance between <me> and the point P. More...

bool	contains (const Geom::Pnt &P, const double LinearTolerance) const

void	mirror (const Geom::Pnt &P)

Geom::Circ	mirrored (const Geom::Pnt &P) const

void	mirror (const Geom::Ax1 &A1)

Geom::Circ	mirrored (const Geom::Ax1 &A1) const

void	mirror (const Geom::Ax2 &A2)

Geom::Circ	mirrored (const Geom::Ax2 &A2) const

void	rotate (const Geom::Ax1 &A1, const double Ang)

Geom::Circ	rotated (const Geom::Ax1 &A1, const double Ang) const

void	scale (const Geom::Pnt &P, const double S)

Geom::Circ	scaled (const Geom::Pnt &P, const double S) const

void	transform (const Geom::Trsf &T)

Geom::Circ	transformed (const Geom::Trsf &T) const
	Transforms a circle with the transformation T from class Trsf. More...

void	translate (const Geom::Vec &V)

Geom::Circ	translated (const Geom::Vec &V) const

void	translate (const Geom::Pnt &P1, const Geom::Pnt &P2)

Geom::Circ	translated (const Geom::Pnt &P1, const Geom::Pnt &P2) const
	Translates a circle from the point P1 to the point P2. More...

Detailed Description

Describes a circle in 3D space.
A circle is defined by its radius and positioned in space
with a coordinate system (a Geom::Ax2 object) as follows:

the origin of the coordinate system is the center of the circle, and
the origin, "X Direction" and "Y Direction" of the
coordinate system define the plane of the circle.
This positioning coordinate system is the "local <br> coordinate system" of the circle. Its "main Direction"
gives the normal vector to the plane of the circle. The
"main Axis" of the coordinate system is referred to as
the "Axis" of the circle.
Note: when a Geom::Circ circle is converted into a
Geom_Circle circle, some implicit properties of the
circle are used explicitly:
the "main Direction" of the local coordinate system
gives an implicit orientation to the circle (and defines
its trigonometric sense),
this orientation corresponds to the direction in
which parameter values increase,
the starting point for parameterization is that of the
"X Axis" of the local coordinate system (i.e. the "X Axis" of the circle).
See Also
gce_MakeCirc which provides functions for more complex circle constructions
Geom_Circle which provides additional functions for
constructing circles and works, in particular, with the
parametric equations of circles

Constructor & Destructor Documentation

◆ Circ() [1/2]

Geom::Circ::Circ ( )

Creates an indefinite circle.

◆ Circ() [2/2]

Geom::Circ::Circ	(	const Geom::Ax2 &	A2,
		const double	Radius
	)

A2 locates the circle and gives its orientation in 3D space.
Warnings :
It is not forbidden to create a circle with Radius = 0.0 Raises ConstructionError if Radius < 0.0

Member Function Documentation

◆ area()

double Geom::Circ::area ( ) const

Computes the area of the circle.

◆ axis()

const Geom::Ax1& Geom::Circ::axis ( ) const

Returns the main axis of the circle.
It is the axis perpendicular to the plane of the circle,
passing through the "Location" point (center) of the circle.

◆ contains()

bool Geom::Circ::contains	(	const Geom::Pnt &	P,
		const double	LinearTolerance
	)		const

Returns True if the point P is on the circumference.
The distance between <me> and

must be lower or
equal to LinearTolerance.

◆ distance()

double Geom::Circ::distance ( const Geom::Pnt & P ) const

Computes the minimum of distance between the point P and
any point on the circumference of the circle.

◆ length()

double Geom::Circ::length ( ) const

Computes the circumference of the circle.

◆ location()

const Geom::Pnt& Geom::Circ::location ( ) const

Returns the center of the circle. It is the
"Location" point of the local coordinate system
of the circle

◆ mirror() [1/3]

void Geom::Circ::mirror ( const Geom::Pnt & P )

◆ mirror() [2/3]

void Geom::Circ::mirror ( const Geom::Ax1 & A1 )

◆ mirror() [3/3]

void Geom::Circ::mirror ( const Geom::Ax2 & A2 )

◆ mirrored() [1/3]

Geom::Circ Geom::Circ::mirrored ( const Geom::Pnt & P ) const

Performs the symmetrical transformation of a circle
with respect to the point P which is the center of the
symmetry.

◆ mirrored() [2/3]

Geom::Circ Geom::Circ::mirrored ( const Geom::Ax1 & A1 ) const

Performs the symmetrical transformation of a circle with
respect to an axis placement which is the axis of the
symmetry.

◆ mirrored() [3/3]

Geom::Circ Geom::Circ::mirrored ( const Geom::Ax2 & A2 ) const

Performs the symmetrical transformation of a circle with respect
to a plane. The axis placement A2 locates the plane of the
of the symmetry : (Location, XDirection, YDirection).

◆ position()

const Geom::Ax2& Geom::Circ::position ( ) const

Returns the position of the circle.
It is the local coordinate system of the circle.

◆ radius()

double Geom::Circ::radius ( ) const

Returns the radius of this circle.

◆ rotate()

void Geom::Circ::rotate	(	const Geom::Ax1 &	A1,
		const double	Ang
	)

◆ rotated()

Geom::Circ Geom::Circ::rotated	(	const Geom::Ax1 &	A1,
		const double	Ang
	)		const

Rotates a circle. A1 is the axis of the rotation.
Ang is the angular value of the rotation in radians.

◆ scale()

void Geom::Circ::scale	(	const Geom::Pnt &	P,
		const double	S
	)

◆ scaled()

Geom::Circ Geom::Circ::scaled	(	const Geom::Pnt &	P,
		const double	S
	)		const

Scales a circle. S is the scaling value.
Warnings :
If S is negative the radius stay positive but
the "XAxis" and the "YAxis" are reversed as for
an ellipse.

◆ setAxis()

void Geom::Circ::setAxis ( const Geom::Ax1 & A1 )

Changes the main axis of the circle. It is the axis
perpendicular to the plane of the circle.
Raises ConstructionError if the direction of A1
is parallel to the "XAxis" of the circle.

◆ setLocation()

void Geom::Circ::setLocation ( const Geom::Pnt & P )

Changes the "Location" point (center) of the circle.

◆ setPosition()

void Geom::Circ::setPosition ( const Geom::Ax2 & A2 )

Changes the position of the circle.

◆ setRadius()

void Geom::Circ::setRadius ( const double Radius )

Modifies the radius of this circle.
Warning. This class does not prevent the creation of a circle where Radius is null.
Exceptions
Standard_ConstructionError if Radius is negative.

◆ squareDistance()

double Geom::Circ::squareDistance ( const Geom::Pnt & P ) const

Computes the square distance between <me> and the point P.

◆ transform()

void Geom::Circ::transform ( const Geom::Trsf & T )

◆ transformed()

Geom::Circ Geom::Circ::transformed ( const Geom::Trsf & T ) const

Transforms a circle with the transformation T from class Trsf.

◆ translate() [1/2]

void Geom::Circ::translate ( const Geom::Vec & V )

◆ translate() [2/2]

void Geom::Circ::translate	(	const Geom::Pnt &	P1,
		const Geom::Pnt &	P2
	)

◆ translated() [1/2]

Geom::Circ Geom::Circ::translated ( const Geom::Vec & V ) const

Translates a circle in the direction of the vector V.
The magnitude of the translation is the vector's magnitude.

◆ translated() [2/2]

Geom::Circ Geom::Circ::translated	(	const Geom::Pnt &	P1,
		const Geom::Pnt &	P2
	)		const

Translates a circle from the point P1 to the point P2.

◆ xAxis()

Geom::Ax1 Geom::Circ::xAxis ( ) const

Returns the "XAxis" of the circle.
This axis is perpendicular to the axis of the conic.
This axis and the "Yaxis" define the plane of the conic.

◆ yAxis()

Geom::Ax1 Geom::Circ::yAxis ( ) const

Returns the "YAxis" of the circle.
This axis and the "Xaxis" define the plane of the conic.
The "YAxis" is perpendicular to the "Xaxis".

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

D:/CadworkJobs/Softwareprojekte/Lexocad/V28.0/lexocad/Geom/include/Geom/Circ.h

Public Member Functions