#include <Geom_Hyperbola.hxx>
Inheritance diagram for Geom_Hyperbola:
Public Member Functions | |
Standard_EXPORT | Geom_Hyperbola (const gp_Hypr &H) |
Constructs a hyperbola by conversion of the gp_Hypr hyperbola H. . | |
Standard_EXPORT | Geom_Hyperbola (const gp_Ax2 &A2, const Standard_Real MajorRadius, const Standard_Real MinorRadius) |
Constructs a hyperbola defined by its major and minor radii, MajorRadius and MinorRadius, where A2 locates the hyperbola and defines its orientation in 3D space such that: - the center of the hyperbola is the origin of A2, - the "X Direction" of A2 defines the major axis of the hyperbola, i.e. the major radius MajorRadius is measured along this axis, - the "Y Direction" of A2 defines the minor axis of the hyperbola, i.e. the minor radius MinorRadius is measured along this axis, - A2 is the local coordinate system of the hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, - MinorRadius is less than 0.0. . | |
Standard_EXPORT void | SetHypr (const gp_Hypr &H) |
Converts the gp_Hypr hyperbola H into this hyperbola. . | |
Standard_EXPORT void | SetMajorRadius (const Standard_Real MajorRadius) |
Assigns a value to the major radius of this hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, or - MinorRadius is less than 0.0.Raised if MajorRadius < 0.0 . | |
Standard_EXPORT void | SetMinorRadius (const Standard_Real MinorRadius) |
Assigns a value to the minor radius of this hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, or - MinorRadius is less than 0.0.Raised if MajorRadius < 0.0 . | |
Standard_EXPORT gp_Hypr | Hypr () const |
returns the non transient parabola from gp with the same geometric properties as <me>. | |
Standard_EXPORT Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed hyperbola, for the point of parameter U on this hyperbola. For a hyperbola, the returned value is: -U. . | |
Standard_EXPORT Standard_Real | FirstParameter () const |
Returns RealFirst from Standard. . | |
Standard_EXPORT Standard_Real | LastParameter () const |
returns RealLast from Standard. | |
Standard_EXPORT Standard_Boolean | IsClosed () const |
Returns False. . | |
Standard_EXPORT Standard_Boolean | IsPeriodic () const |
return False for an hyperbola. | |
Standard_EXPORT gp_Ax1 | Asymptote1 () const |
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. Raises ConstructionError if MajorRadius = 0.0 . | |
Standard_EXPORT gp_Ax1 | Asymptote2 () const |
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. Raises ConstructionError if MajorRadius = 0.0 . | |
Standard_EXPORT gp_Hypr | ConjugateBranch1 () const |
This branch of hyperbola is on the positive side of the YAxis of <me>. . | |
Standard_EXPORT gp_Hypr | ConjugateBranch2 () const |
This branch of hyperbola is on the negative side of the YAxis of <me>. Note: The diagram given under the class purpose indicates where these two branches of hyperbola are positioned in relation to this branch of hyperbola. . | |
Standard_EXPORT gp_Ax1 | Directrix1 () const |
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 directrix1 and the XAxis is the location point of the directrix1. This point is on the positive side of the XAxis. . | |
Standard_EXPORT gp_Ax1 | Directrix2 () const |
This line is obtained by the symmetrical transformation of "directrix1" with respect to the YAxis of the hyperbola. . | |
Standard_EXPORT Standard_Real | Eccentricity () const |
Returns the excentricity 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. //! raised if MajorRadius = 0.0 . | |
Standard_EXPORT Standard_Real | Focal () const |
Computes the focal distance. It is the distance between the two focus of the hyperbola. . | |
Standard_EXPORT gp_Pnt | Focus1 () const |
Returns the first focus of the hyperbola. This focus is on the positive side of the XAxis of the hyperbola. . | |
Standard_EXPORT gp_Pnt | Focus2 () const |
Returns the second focus of the hyperbola. This focus is on the negative side of the XAxis of the hyperbola. . | |
Standard_EXPORT Standard_Real | MajorRadius () const |
Returns the major or minor radius of this hyperbola. The major radius is also the distance between the center of the hyperbola and the apex of the main branch (located on the "X Axis" of the hyperbola). . | |
Standard_EXPORT Standard_Real | MinorRadius () const |
Returns the major or minor radius of this hyperbola. The minor radius is also the distance between the center of the hyperbola and the apex of a conjugate branch (located on the "Y Axis" of the hyperbola). . | |
Standard_EXPORT gp_Hypr | OtherBranch () const |
Computes the "other" branch of this hyperbola. This is the symmetrical branch with respect to the center of this hyperbola. Note: The diagram given under the class purpose indicates where the "other" branch is positioned in relation to this branch of the hyperbola. . | |
Standard_EXPORT Standard_Real | Parameter () const |
Returns p = (e * e - 1) * MajorRadius where e is the eccentricity of the hyperbola. //! raised if MajorRadius = 0.0 . | |
Standard_EXPORT void | D0 (const Standard_Real U, gp_Pnt &P) const |
Returns in P the point of parameter U. P = C + MajorRadius * Cosh (U) * XDir + MinorRadius * Sinh (U) * YDir where C is the center of the hyperbola , XDir the XDirection and YDir the YDirection of the hyperbola's local coordinate system. . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1) const |
Returns the point P of parameter U and the first derivative V1. . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2) const |
Returns the point P of parameter U, the first and second derivatives V1 and V2. . | |
Standard_EXPORT void | D3 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const |
Returns the point P of parameter U, the first second and third derivatives V1 V2 and V3. . | |
Standard_EXPORT gp_Vec | DN (const Standard_Real U, const Standard_Integer N) const |
The returned vector gives the value of the derivative for the order of derivation N. //! Raised if N < 1. . | |
Standard_EXPORT void | Transform (const gp_Trsf &T) |
Applies the transformation T to this hyperbola. . | |
Standard_EXPORT Handle_Geom_Geometry | Copy () const |
Creates a new object which is a copy of this hyperbola. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Standard_Real | majorRadius |
Standard_Real | minorRadius |
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Implements Geom_Geometry. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Conic. |
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Implements Geom_Curve. |
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Reimplemented from Geom_Conic. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Conic. |
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Implements Geom_Geometry. |
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