Public 成员函数
	GHypr2d ()

	GHypr2d (GAx2d theMajorAxis, double theMajorRadius, double theMinorRadius, boolean theIsSense)

	GHypr2d (GAx2d theMajorAxis, double theMajorRadius, double theMinorRadius)

	GHypr2d (GAx22d theA, double theMajorRadius, double theMinorRadius)

void	SetLocation (GPnt2d theP)

void	SetMajorRadius (double theMajorRadius)

void	SetMinorRadius (double theMinorRadius)

void	SetAxis (GAx22d theA)

void	SetXAxis (GAx2d theA)

void	SetYAxis (GAx2d theA)

GAx2d	Asymptote1 ()

GAx2d	Asymptote2 ()

void	Coefficients (double[] theA, double[] theB, double[] theC, double[] theD, double[] theE, double[] theF)

GHypr2d	ConjugateBranch1 ()

GHypr2d	ConjugateBranch2 ()

GAx2d	Directrix1 ()

GAx2d	Directrix2 ()

double	Eccentricity ()

double	Focal ()

GPnt2d	Focus1 ()

GPnt2d	Focus2 ()

GPnt2d	Location ()

double	MajorRadius ()

double	MinorRadius ()

GHypr2d	OtherBranch ()

double	Parameter ()

GAx22d	Axis ()

GAx2d	XAxis ()

GAx2d	YAxis ()

void	Reverse ()

GHypr2d	Reversed ()

boolean	IsDirect ()

void	Mirror (GPnt2d theP)

GHypr2d	Mirrored (GPnt2d theP)

void	Mirror (GAx2d theA)

GHypr2d	Mirrored (GAx2d theA)

void	Rotate (GPnt2d theP, double theAng)

GHypr2d	Rotated (GPnt2d theP, double theAng)

void	Scale (GPnt2d theP, double theS)

GHypr2d	Scaled (GPnt2d theP, double theS)

void	Transform (GTrsf2d theT)

GHypr2d	Transformed (GTrsf2d theT)

void	Translate (GVec2d theV)

GHypr2d	Translated (GVec2d theV)

void	Translate (GPnt2d theP1, GPnt2d theP2)

GHypr2d	Translated (GPnt2d theP1, GPnt2d theP2)

详细描述

Describes a branch of a hyperbola in the plane (2D space). A hyperbola is defined by its major and minor radii, and positioned in the plane with a coordinate system (a gp_Ax22d 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. This coordinate system is the "local coordinate system" of the hyperbola. The orientation of this coordinate system (direct or indirect) gives an implicit orientation to 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 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 | Warning The major radius can be less than the minor radius. See Also gce_MakeHypr2d which provides functions for more complex hyperbola constructions Geom2d_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

◆ GHypr2d() [1/4]

GHypr2d.GHypr2d ( )

Creates of an indefinite hyperbola.

◆ GHypr2d() [2/4]

GHypr2d.GHypr2d	(	GAx2d	theMajorAxis,
		double	theMajorRadius,
		double	theMinorRadius,
		boolean	theIsSense )

Creates a hyperbola with radii theMajorRadius and theMinorRadius, centered on the origin of theMajorAxis and where the unit vector of theMajorAxis is the "X Direction" of the local coordinate system of the hyperbola. This coordinate system is direct if theIsSense is true (the default value), and indirect if theIsSense is false. Warnings : It is yet possible to create an Hyperbola with theMajorRadius <= theMinorRadius. Raises ConstructionError if theMajorRadius < 0.0 or theMinorRadius < 0.0

◆ GHypr2d() [3/4]

GHypr2d.GHypr2d	(	GAx2d	theMajorAxis,
		double	theMajorRadius,
		double	theMinorRadius )

Creates a hyperbola with radii theMajorRadius and theMinorRadius, centered on the origin of theMajorAxis and where the unit vector of theMajorAxis is the "X Direction" of the local coordinate system of the hyperbola. This coordinate system is direct if theIsSense is true (the default value), and indirect if theIsSense is false. Warnings : It is yet possible to create an Hyperbola with theMajorRadius <= theMinorRadius. Raises ConstructionError if theMajorRadius < 0.0 or theMinorRadius < 0.0

◆ GHypr2d() [4/4]

GHypr2d.GHypr2d	(	GAx22d	theA,
		double	theMajorRadius,
		double	theMinorRadius )

a hyperbola with radii theMajorRadius and theMinorRadius, positioned in the plane by coordinate system theA where: - the origin of theA is the center of the hyperbola, - the "X Direction" of theA defines the major axis of the hyperbola, that is, the major radius theMajorRadius is measured along this axis, and - the "Y Direction" of theA defines the minor axis of the hyperbola, that is, the minor radius theMinorRadius is measured along this axis, and - the orientation (direct or indirect sense) of theA gives the implicit orientation of the hyperbola. Warnings : It is yet possible to create an Hyperbola with theMajorRadius <= theMinorRadius. Raises ConstructionError if theMajorRadius < 0.0 or theMinorRadius < 0.0

成员函数说明

◆ Asymptote1()

GAx2d GHypr2d.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 of the hyperbola and B the minor radius of the hyperbola. Raises ConstructionError if MajorRadius = 0.0

◆ Asymptote2()

GAx2d GHypr2d.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 of the hyperbola and B the minor radius of the hyperbola. Raises ConstructionError if MajorRadius = 0.0

◆ Axis()

GAx22d GHypr2d.Axis ( )

Returns the axisplacement of the hyperbola.

◆ Coefficients()

void GHypr2d.Coefficients	(	double[]	theA,
		double[]	theB,
		double[]	theC,
		double[]	theD,
		double[]	theE,
		double[]	theF )

Computes the coefficients of the implicit equation of the hyperbola : theA * (X**2) + theB * (Y**2) + 2*theC*(X*Y) + 2*theD*X + 2*theE*Y + theF = 0.

◆ ConjugateBranch1()

GHypr2d GHypr2d.ConjugateBranch1 ( )

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

◆ ConjugateBranch2()

GHypr2d GHypr2d.ConjugateBranch2 ( )

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

◆ Directrix1()

GAx2d GHypr2d.Directrix1 ( )

Computes the directrix which 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()

GAx2d GHypr2d.Directrix2 ( )

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

◆ Eccentricity()

double GHypr2d.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 GHypr2d.Focal ( )

Computes the focal distance. It is the distance between the "Location" of the hyperbola and "Focus1" or "Focus2".

◆ Focus1()

GPnt2d GHypr2d.Focus1 ( )

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

◆ Focus2()

GPnt2d GHypr2d.Focus2 ( )

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

◆ IsDirect()

boolean GHypr2d.IsDirect ( )

Returns true if the local coordinate system is direct and false in the other case.

◆ Location()

GPnt2d GHypr2d.Location ( )

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

◆ MajorRadius()

double GHypr2d.MajorRadius ( )

Returns the major radius of the hyperbola (it is the radius corresponding to the "XAxis" of the hyperbola).

◆ MinorRadius()

double GHypr2d.MinorRadius ( )

Returns the minor radius of the hyperbola (it is the radius corresponding to the "YAxis" of the hyperbola).

◆ Mirrored() [1/2]

GHypr2d GHypr2d.Mirrored ( GAx2d theA )

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

◆ Mirrored() [2/2]

GHypr2d GHypr2d.Mirrored ( GPnt2d theP )

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

◆ OtherBranch()

GHypr2d GHypr2d.OtherBranch ( )

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

◆ Parameter()

double GHypr2d.Parameter ( )

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

◆ Reversed()

GHypr2d GHypr2d.Reversed ( )

Reverses the orientation of the local coordinate system of this hyperbola (the "Y Axis" is reversed). Therefore, the implicit orientation of this hyperbola is reversed. Note: - Reverse assigns the result to this hyperbola, while - Reversed creates a new one.

◆ Rotated()

GHypr2d GHypr2d.Rotated	(	GPnt2d	theP,
		double	theAng )

Rotates an hyperbola. theP is the center of the rotation. theAng is the angular value of the rotation in radians.

◆ Scaled()

GHypr2d GHypr2d.Scaled	(	GPnt2d	theP,
		double	theS )

Scales an hyperbola. <theS> is the scaling value. If <theS> is positive only the location point is modified. But if <theS> is negative the "XAxis" is reversed and the "YAxis" too.

◆ SetAxis()

void GHypr2d.SetAxis ( GAx22d theA )

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

◆ SetLocation()

void GHypr2d.SetLocation ( GPnt2d theP )

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

◆ SetMajorRadius()

void GHypr2d.SetMajorRadius ( double theMajorRadius )

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

◆ SetMinorRadius()

void GHypr2d.SetMinorRadius ( double theMinorRadius )

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

◆ SetXAxis()

void GHypr2d.SetXAxis ( GAx2d theA )

Changes the major axis of the hyperbola. The minor axis is recomputed and the location of the hyperbola too.

◆ SetYAxis()

void GHypr2d.SetYAxis ( GAx2d theA )

Changes the minor axis of the hyperbola.The minor axis is recomputed and the location of the hyperbola too.

◆ Transformed()

GHypr2d GHypr2d.Transformed ( GTrsf2d theT )

Transforms an hyperbola with the transformation theT from class Trsf2d.

◆ Translated() [1/2]

GHypr2d GHypr2d.Translated	(	GPnt2d	theP1,
		GPnt2d	theP2 )

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

◆ Translated() [2/2]

GHypr2d GHypr2d.Translated ( GVec2d theV )

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

◆ XAxis()

GAx2d GHypr2d.XAxis ( )

Computes an axis whose - the origin is the center of this hyperbola, and - the unit vector is the "X Direction" or "Y Direction" respectively of the local coordinate system of this hyperbola Returns the major axis of the hyperbola.

◆ YAxis()

GAx2d GHypr2d.YAxis ( )

Computes an axis whose - the origin is the center of this hyperbola, and - the unit vector is the "X Direction" or "Y Direction" respectively of the local coordinate system of this hyperbola Returns the minor axis of the hyperbola.

Public 成员函数