Public 成员函数
	GHypr ()

	GHypr (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)

GAx1	Asymptote1 ()

GAx1	Asymptote2 ()

GAx1	Axis ()

GHypr	ConjugateBranch1 ()

GHypr	ConjugateBranch2 ()

GAx1	Directrix1 ()

GAx1	Directrix2 ()

double	Eccentricity ()

double	Focal ()

GPnt	Focus1 ()

GPnt	Focus2 ()

GPnt	Location ()

double	MajorRadius ()

double	MinorRadius ()

GHypr	OtherBranch ()

double	Parameter ()

GAx2	Position ()

GAx1	XAxis ()

GAx1	YAxis ()

void	Mirror (GPnt theP)

GHypr	Mirrored (GPnt theP)

void	Mirror (GAx1 theA1)

GHypr	Mirrored (GAx1 theA1)

void	Mirror (GAx2 theA2)

GHypr	Mirrored (GAx2 theA2)

void	Rotate (GAx1 theA1, double theAng)

GHypr	Rotated (GAx1 theA1, double theAng)

void	Scale (GPnt theP, double theS)

GHypr	Scaled (GPnt theP, double theS)

void	Transform (GTrsf theT)

GHypr	Transformed (GTrsf theT)

void	Translate (GVec theV)

GHypr	Translated (GVec theV)

void	Translate (GPnt theP1, GPnt theP2)

GHypr	Translated (GPnt theP1, GPnt theP2)

详细描述

Describes a branch of a hyperbola in 3D space. A hyperbola is defined by its major and minor radii and positioned in space with a coordinate system (a gp_Ax2 object) of which: - the origin is the center of the hyperbola, - the "X Direction" defines the major axis of the hyperbola, and - the "Y Direction" defines the minor axis of the hyperbola. The origin, "X Direction" and "Y Direction" of this coordinate system together define the plane of the hyperbola. This coordinate system is the "local coordinate system" of the hyperbola. In this coordinate system, the equation of the hyperbola is: X*X/(MajorRadius**2)-Y*Y/(MinorRadius**2) = 1.0 The branch of the hyperbola described is the one located on the positive side of the major axis. The "main Direction" of the local coordinate system is a normal vector to the plane of the hyperbola. This vector gives an implicit orientation to the hyperbola. We refer to the "main Axis" of the local coordinate system as the "Axis" of the hyperbola. The following schema shows the plane of the hyperbola, and in it, the respective positions of the three branches of hyperbolas constructed with the functions OtherBranch, ConjugateBranch1, and ConjugateBranch2: ^YAxis | FirstConjugateBranch | Other | Main --------------------- C ------------------------------>XAxis Branch | Branch | | SecondConjugateBranch | ^YAxis Warning The major radius can be less than the minor radius. See Also gce_MakeHypr which provides functions for more complex hyperbola constructions Geom_Hyperbola which provides additional functions for constructing hyperbolas and works, in particular, with the parametric equations of hyperbolas

构造及析构函数说明

◆ GHypr() [1/2]

GHypr.GHypr ( )

Creates of an indefinite hyperbola.

◆ GHypr() [2/2]

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

Creates a hyperbola with radius theMajorRadius and theMinorRadius, positioned in the space by the coordinate system theA2 such that: - the origin of theA2 is the center of the hyperbola, - the "X Direction" of theA2 defines the major axis of the hyperbola, that is, the major radius theMajorRadius is measured along this axis, and - the "Y Direction" of theA2 defines the minor axis of the hyperbola, that is, the minor radius theMinorRadius is measured along this axis. Note: This class does not prevent the creation of a hyperbola where: - theMajorAxis is equal to theMinorAxis, or - theMajorAxis is less than theMinorAxis. Exceptions Standard_ConstructionError if theMajorAxis or theMinorAxis is negative. Raises ConstructionError if theMajorRadius < 0.0 or theMinorRadius < 0.0 Raised if theMajorRadius < 0.0 or theMinorRadius < 0.0

成员函数说明

◆ Asymptote1()

GAx1 GHypr.Asymptote1 ( )

In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = (B/A)*X where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0

◆ Asymptote2()

GAx1 GHypr.Asymptote2 ( )

In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = -(B/A)*X. where A is the major radius and B is the minor radius. Raises ConstructionError if MajorRadius = 0.0

◆ Axis()

GAx1 GHypr.Axis ( )

Returns the axis passing through the center, and normal to the plane of this hyperbola.

◆ ConjugateBranch1()

GHypr GHypr.ConjugateBranch1 ( )

Computes the branch of hyperbola which is on the positive side of the "YAxis" of <me>.

◆ ConjugateBranch2()

GHypr GHypr.ConjugateBranch2 ( )

Computes the branch of hyperbola which is on the negative side of the "YAxis" of <me>.

◆ Directrix1()

GAx1 GHypr.Directrix1 ( )

This directrix is the line normal to the XAxis of the hyperbola in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the hyperbola, where e is the eccentricity of the hyperbola. This line is parallel to the "YAxis". The intersection point between the directrix1 and the "XAxis" is the "Location" point of the directrix1. This point is on the positive side of the "XAxis".

◆ Directrix2()

GAx1 GHypr.Directrix2 ( )

This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the hyperbola.

◆ Eccentricity()

double GHypr.Eccentricity ( )

Returns the eccentricity of the hyperbola (e > 1). If f is the distance between the location of the hyperbola and the Focus1 then the eccentricity e = f / MajorRadius. Raises DomainError if MajorRadius = 0.0

◆ Focal()

double GHypr.Focal ( )

Computes the focal distance. It is the distance between the the two focus of the hyperbola.

◆ Focus1()

GPnt GHypr.Focus1 ( )

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

◆ Focus2()

GPnt GHypr.Focus2 ( )

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

◆ Location()

GPnt GHypr.Location ( )

Returns the location point of the hyperbola. It is the intersection point between the "XAxis" and the "YAxis".

◆ MajorRadius()

double GHypr.MajorRadius ( )

Returns the major radius of the hyperbola. It is the radius on the "XAxis" of the hyperbola.

◆ MinorRadius()

double GHypr.MinorRadius ( )

Returns the minor radius of the hyperbola. It is the radius on the "YAxis" of the hyperbola.

◆ Mirrored() [1/3]

GHypr GHypr.Mirrored ( GAx1 theA1 )

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

◆ Mirrored() [2/3]

GHypr GHypr.Mirrored ( GAx2 theA2 )

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

◆ Mirrored() [3/3]

GHypr GHypr.Mirrored ( GPnt theP )

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

◆ OtherBranch()

GHypr GHypr.OtherBranch ( )

Returns the branch of hyperbola obtained by doing the symmetrical transformation of <me> with respect to the "YAxis" of <me>.

◆ Parameter()

double GHypr.Parameter ( )

Returns p = (e * e - 1) * MajorRadius where e is the eccentricity of the hyperbola. Raises DomainError if MajorRadius = 0.0

◆ Position()

GAx2 GHypr.Position ( )

Returns the coordinate system of the hyperbola.

◆ Rotated()

GHypr GHypr.Rotated	(	GAx1	theA1,
		double	theAng )

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

◆ Scaled()

GHypr GHypr.Scaled	(	GPnt	theP,
		double	theS )

Scales an hyperbola. theS is the scaling value.

◆ SetAxis()

void GHypr.SetAxis ( GAx1 theA1 )

Modifies this hyperbola, by redefining its local coordinate system 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). Raises ConstructionError if the direction of theA1 is parallel to the direction of the "XAxis" of the hyperbola.

◆ SetLocation()

void GHypr.SetLocation ( GPnt theP )

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

◆ SetMajorRadius()

void GHypr.SetMajorRadius ( double theMajorRadius )

Modifies the major radius of this hyperbola. Exceptions Standard_ConstructionError if theMajorRadius is negative.

◆ SetMinorRadius()

void GHypr.SetMinorRadius ( double theMinorRadius )

Modifies the minor radius of this hyperbola. Exceptions Standard_ConstructionError if theMinorRadius is negative.

◆ SetPosition()

void GHypr.SetPosition ( GAx2 theA2 )

Modifies this hyperbola, by redefining its local coordinate system so that it becomes A2.

◆ Transformed()

GHypr GHypr.Transformed ( GTrsf theT )

Transforms an hyperbola with the transformation theT from class Trsf.

◆ Translated() [1/2]

GHypr GHypr.Translated	(	GPnt	theP1,
		GPnt	theP2 )

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

◆ Translated() [2/2]

GHypr GHypr.Translated ( GVec theV )

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

◆ XAxis()

GAx1 GHypr.XAxis ( )

Computes an axis, whose - the origin is the center of this hyperbola, and - the unit vector is the "X Direction" of the local coordinate system of this hyperbola. These axes are, the major axis (the "X Axis") and of this hyperboReturns the "XAxis" of the hyperbola.

◆ YAxis()

GAx1 GHypr.YAxis ( )

Computes an axis, whose - the origin is the center of this hyperbola, and - the unit vector is the "Y Direction" of the local coordinate system of this hyperbola. These axes are the minor axis (the "Y Axis") of this hyperbola

Public 成员函数