Public 成员函数
	GElips ()

	GElips (GAx2 theA2, double theMajorRadius, double theMinorRadius)

void	SetAxis (GAx1 theA1)

void	SetLocation (GPnt theP)

void	SetMajorRadius (double theMajorRadius)

void	SetMinorRadius (double theMinorRadius)

void	SetPosition (GAx2 theA2)

double	Area ()

GAx1	Axis ()

GAx1	Directrix1 ()

GAx1	Directrix2 ()

double	Eccentricity ()

double	Focal ()

GPnt	Focus1 ()

GPnt	Focus2 ()

GPnt	Location ()

double	MajorRadius ()

double	MinorRadius ()

double	Parameter ()

GAx2	Position ()

GAx1	XAxis ()

GAx1	YAxis ()

void	Mirror (GPnt theP)

GElips	Mirrored (GPnt theP)

void	Mirror (GAx1 theA1)

GElips	Mirrored (GAx1 theA1)

void	Mirror (GAx2 theA2)

GElips	Mirrored (GAx2 theA2)

void	Rotate (GAx1 theA1, double theAng)

GElips	Rotated (GAx1 theA1, double theAng)

void	Scale (GPnt theP, double theS)

GElips	Scaled (GPnt theP, double theS)

void	Transform (GTrsf theT)

GElips	Transformed (GTrsf theT)

void	Translate (GVec theV)

GElips	Translated (GVec theV)

void	Translate (GPnt theP1, GPnt theP2)

GElips	Translated (GPnt theP1, GPnt theP2)

详细描述

Describes an ellipse in 3D space. An ellipse is defined by its major and minor radii and positioned in space with a coordinate system (a gp_Ax2 object) as follows: - the origin of the coordinate system is the center of the ellipse, - its "X Direction" defines the major axis of the ellipse, and - its "Y Direction" defines the minor axis of the ellipse. Together, the origin, "X Direction" and "Y Direction" of this coordinate system define the plane of the ellipse. This coordinate system is the "local coordinate system" of the ellipse. In this coordinate system, the equation of the ellipse is: X*X / (MajorRadius**2) + Y*Y / (MinorRadius**2) = 1.0 The "main Direction" of the local coordinate system gives the normal vector to the plane of the ellipse. This vector gives an implicit orientation to the ellipse (definition of the trigonometric sense). We refer to the "main Axis" of the local coordinate system as the "Axis" of the ellipse. See Also gce_MakeElips which provides functions for more complex ellipse constructions Geom_Ellipse which provides additional functions for constructing ellipses and works, in particular, with the parametric equations of ellipses

构造及析构函数说明

◆ GElips() [1/2]

GElips.GElips ( )

Creates an indefinite ellipse.

◆ GElips() [2/2]

GElips.GElips	(	GAx2	theA2,
		double	theMajorRadius,
		double	theMinorRadius )

The major radius of the ellipse is on the "XAxis" and the minor radius is on the "YAxis" of the ellipse. The "XAxis" is defined with the "XDirection" of theA2 and the "YAxis" is defined with the "YDirection" of theA2. Warnings : It is not forbidden to create an ellipse with theMajorRadius = theMinorRadius. Raises ConstructionError if theMajorRadius < theMinorRadius or theMinorRadius < 0.

成员函数说明

◆ Area()

double GElips.Area ( )

Computes the area of the Ellipse.

◆ Axis()

GAx1 GElips.Axis ( )

Computes the axis normal to the plane of the ellipse.

◆ Directrix1()

GAx1 GElips.Directrix1 ( )

Computes the first or second directrix of this ellipse. These are the lines, in the plane of the ellipse, normal to the major axis, at a distance equal to MajorRadius/e from the center of the ellipse, where e is the eccentricity of the ellipse. The first directrix (Directrix1) is on the positive side of the major axis. The second directrix (Directrix2) is on the negative side. The directrix is returned as an axis (gp_Ax1 object), the origin of which is situated on the "X Axis" of the local coordinate system of this ellipse. Exceptions Standard_ConstructionError if the eccentricity is null (the ellipse has degenerated into a circle).

◆ Directrix2()

GAx1 GElips.Directrix2 ( )

This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the ellipse. Exceptions Standard_ConstructionError if the eccentricity is null (the ellipse has degenerated into a circle).

◆ Eccentricity()

double GElips.Eccentricity ( )

Returns the eccentricity of the ellipse between 0.0 and 1.0 If f is the distance between the center of the ellipse and the Focus1 then the eccentricity e = f / MajorRadius. Raises ConstructionError if MajorRadius = 0.0

◆ Focal()

double GElips.Focal ( )

Computes the focal distance. It is the distance between the two focus focus1 and focus2 of the ellipse.

◆ Focus1()

GPnt GElips.Focus1 ( )

Returns the first focus of the ellipse. This focus is on the positive side of the "XAxis" of the ellipse.

◆ Focus2()

GPnt GElips.Focus2 ( )

Returns the second focus of the ellipse. This focus is on the negative side of the "XAxis" of the ellipse.

◆ Location()

GPnt GElips.Location ( )

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

◆ MajorRadius()

double GElips.MajorRadius ( )

Returns the major radius of the ellipse.

◆ MinorRadius()

double GElips.MinorRadius ( )

Returns the minor radius of the ellipse.

◆ Mirrored() [1/3]

GElips GElips.Mirrored ( GAx1 theA1 )

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

◆ Mirrored() [2/3]

GElips GElips.Mirrored ( GAx2 theA2 )

Performs the symmetrical transformation of an ellipse with respect to a plane. The axis placement theA2 locates the plane of the symmetry (Location, XDirection, YDirection).

◆ Mirrored() [3/3]

GElips GElips.Mirrored ( GPnt theP )

Performs the symmetrical transformation of an ellipse with respect to the point theP which is the center of the symmetry.

◆ Parameter()

double GElips.Parameter ( )

Returns p = (1 - e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0

◆ Position()

GAx2 GElips.Position ( )

Returns the coordinate system of the ellipse.

◆ Rotated()

GElips GElips.Rotated	(	GAx1	theA1,
		double	theAng )

Rotates an ellipse. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians.

◆ Scaled()

GElips GElips.Scaled	(	GPnt	theP,
		double	theS )

Scales an ellipse. theS is the scaling value.

◆ SetAxis()

void GElips.SetAxis ( GAx1 theA1 )

Changes the axis normal to the plane of the ellipse. It modifies the definition of this plane. The "XAxis" and the "YAxis" are recomputed. The local coordinate system is redefined so that: - its origin and "main Direction" become those of the axis theA1 (the "X Direction" and "Y Direction" are then recomputed in the same way as for any gp_Ax2), or Raises ConstructionError if the direction of theA1 is parallel to the direction of the "XAxis" of the ellipse.

◆ SetLocation()

void GElips.SetLocation ( GPnt theP )

Modifies this ellipse, by redefining its local coordinate so that its origin becomes theP.

◆ SetMajorRadius()

void GElips.SetMajorRadius ( double theMajorRadius )

The major radius of the ellipse is on the "XAxis" (major axis) of the ellipse. Raises ConstructionError if theMajorRadius < MinorRadius.

◆ SetMinorRadius()

void GElips.SetMinorRadius ( double theMinorRadius )

The minor radius of the ellipse is on the "YAxis" (minor axis) of the ellipse. Raises ConstructionError if theMinorRadius > MajorRadius or MinorRadius < 0.

◆ SetPosition()

void GElips.SetPosition ( GAx2 theA2 )

Modifies this ellipse, by redefining its local coordinate so that it becomes theA2.

◆ Transformed()

GElips GElips.Transformed ( GTrsf theT )

Transforms an ellipse with the transformation theT from class Trsf.

◆ Translated() [1/2]

GElips GElips.Translated	(	GPnt	theP1,
		GPnt	theP2 )

Translates an ellipse from the point theP1 to the point theP2.

◆ Translated() [2/2]

GElips GElips.Translated ( GVec theV )

Translates an ellipse in the direction of the vector theV. The magnitude of the translation is the vector's magnitude.

◆ XAxis()

GAx1 GElips.XAxis ( )

Returns the "XAxis" of the ellipse whose origin is the center of this ellipse. It is the major axis of the ellipse.

◆ YAxis()

GAx1 GElips.YAxis ( )

Returns the "YAxis" of the ellipse whose unit vector is the "X Direction" or the "Y Direction" of the local coordinate system of this ellipse. This is the minor axis of the ellipse.

Public 成员函数