
 gp_Hypr2d () 
 Creates of an indefinite hyperbola. More...


 gp_Hypr2d (const gp_Ax2d &theMajorAxis, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius, const Standard_Boolean theIsSense=Standard_True) 
 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. More...


 gp_Hypr2d (const gp_Ax22d &theA, const Standard_Real theMajorRadius, const Standard_Real theMinorRadius) 
 a hyperbola with radii theMajorRadius and theMinorRadius, positioned in the plane by coordinate system theA where: More...


void  SetLocation (const gp_Pnt2d &theP) 
 Modifies this hyperbola, by redefining its local coordinate system so that its origin becomes theP. More...


void  SetMajorRadius (const Standard_Real theMajorRadius) 
 Modifies the major or minor radius of this hyperbola. Exceptions Standard_ConstructionError if theMajorRadius or MinorRadius is negative. More...


void  SetMinorRadius (const Standard_Real theMinorRadius) 
 Modifies the major or minor radius of this hyperbola. Exceptions Standard_ConstructionError if MajorRadius or theMinorRadius is negative. More...


void  SetAxis (const gp_Ax22d &theA) 
 Modifies this hyperbola, by redefining its local coordinate system so that it becomes theA. More...


void  SetXAxis (const gp_Ax2d &theA) 
 Changes the major axis of the hyperbola. The minor axis is recomputed and the location of the hyperbola too. More...


void  SetYAxis (const gp_Ax2d &theA) 
 Changes the minor axis of the hyperbola.The minor axis is recomputed and the location of the hyperbola too. More...


gp_Ax2d  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 where A is the major radius of the hyperbola and B the minor radius of the hyperbola. Raises ConstructionError if MajorRadius = 0.0. More...


gp_Ax2d  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 where A is the major radius of the hyperbola and B the minor radius of the hyperbola. Raises ConstructionError if MajorRadius = 0.0. More...


void  Coefficients (Standard_Real &theA, Standard_Real &theB, Standard_Real &theC, Standard_Real &theD, Standard_Real &theE, Standard_Real &theF) const 
 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. More...


gp_Hypr2d  ConjugateBranch1 () const 
 Computes the branch of hyperbola which is on the positive side of the "YAxis" of <me>. More...


gp_Hypr2d  ConjugateBranch2 () const 
 Computes the branch of hyperbola which is on the negative side of the "YAxis" of <me>. More...


gp_Ax2d  Directrix1 () const 
 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". More...


gp_Ax2d  Directrix2 () const 
 This line is obtained by the symmetrical transformation of "Directrix1" with respect to the "YAxis" of the hyperbola. More...


Standard_Real  Eccentricity () const 
 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. More...


Standard_Real  Focal () const 
 Computes the focal distance. It is the distance between the "Location" of the hyperbola and "Focus1" or "Focus2". More...


gp_Pnt2d  Focus1 () const 
 Returns the first focus of the hyperbola. This focus is on the positive side of the "XAxis" of the hyperbola. More...


gp_Pnt2d  Focus2 () const 
 Returns the second focus of the hyperbola. This focus is on the negative side of the "XAxis" of the hyperbola. More...


const gp_Pnt2d &  Location () const 
 Returns the location point of the hyperbola. It is the intersection point between the "XAxis" and the "YAxis". More...


Standard_Real  MajorRadius () const 
 Returns the major radius of the hyperbola (it is the radius corresponding to the "XAxis" of the hyperbola). More...


Standard_Real  MinorRadius () const 
 Returns the minor radius of the hyperbola (it is the radius corresponding to the "YAxis" of the hyperbola). More...


gp_Hypr2d  OtherBranch () const 
 Returns the branch of hyperbola obtained by doing the symmetrical transformation of <me> with respect to the "YAxis" of <me>. More...


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


const gp_Ax22d &  Axis () const 
 Returns the axisplacement of the hyperbola. More...


gp_Ax2d  XAxis () const 
 Computes an axis whose. More...


gp_Ax2d  YAxis () const 
 Computes an axis whose. More...


void  Reverse () 

gp_Hypr2d  Reversed () const 
 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: More...


Standard_Boolean  IsDirect () const 
 Returns true if the local coordinate system is direct and false in the other case. More...


void  Mirror (const gp_Pnt2d &theP) 

gp_Hypr2d  Mirrored (const gp_Pnt2d &theP) const 
 Performs the symmetrical transformation of an hyperbola with respect to the point theP which is the center of the symmetry. More...


void  Mirror (const gp_Ax2d &theA) 

gp_Hypr2d  Mirrored (const gp_Ax2d &theA) const 
 Performs the symmetrical transformation of an hyperbola with respect to an axis placement which is the axis of the symmetry. More...


void  Rotate (const gp_Pnt2d &theP, const Standard_Real theAng) 

gp_Hypr2d  Rotated (const gp_Pnt2d &theP, const Standard_Real theAng) const 
 Rotates an hyperbola. theP is the center of the rotation. theAng is the angular value of the rotation in radians. More...


void  Scale (const gp_Pnt2d &theP, const Standard_Real theS) 

gp_Hypr2d  Scaled (const gp_Pnt2d &theP, const Standard_Real theS) const 
 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. More...


void  Transform (const gp_Trsf2d &theT) 

gp_Hypr2d  Transformed (const gp_Trsf2d &theT) const 
 Transforms an hyperbola with the transformation theT from class Trsf2d. More...


void  Translate (const gp_Vec2d &theV) 

gp_Hypr2d  Translated (const gp_Vec2d &theV) const 
 Translates an hyperbola in the direction of the vector theV. The magnitude of the translation is the vector's magnitude. More...


void  Translate (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) 

gp_Hypr2d  Translated (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) const 
 Translates an hyperbola from the point theP1 to the point theP2. More...

