/usr/include/opencascade/gp_Hypr2d.hxx is in libopencascade-foundation-dev 6.5.0.dfsg-2build1.
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// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _gp_Hypr2d_HeaderFile
#define _gp_Hypr2d_HeaderFile
#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Standard_Macro_HeaderFile
#include <Standard_Macro.hxx>
#endif
#ifndef _gp_Ax22d_HeaderFile
#include <gp_Ax22d.hxx>
#endif
#ifndef _Standard_Real_HeaderFile
#include <Standard_Real.hxx>
#endif
#ifndef _Standard_Storable_HeaderFile
#include <Standard_Storable.hxx>
#endif
#ifndef _Standard_Boolean_HeaderFile
#include <Standard_Boolean.hxx>
#endif
#ifndef _gp_Ax2d_HeaderFile
#include <gp_Ax2d.hxx>
#endif
#ifndef _gp_Pnt2d_HeaderFile
#include <gp_Pnt2d.hxx>
#endif
#ifndef _Standard_PrimitiveTypes_HeaderFile
#include <Standard_PrimitiveTypes.hxx>
#endif
class Standard_ConstructionError;
class Standard_DomainError;
class gp_Ax2d;
class gp_Ax22d;
class gp_Pnt2d;
class gp_Trsf2d;
class gp_Vec2d;
Standard_EXPORT const Handle(Standard_Type)& STANDARD_TYPE(gp_Hypr2d);
//! Describes a branch of a hyperbola in the plane (2D space). <br>
//! A hyperbola is defined by its major and minor radii, and <br>
//! positioned in the plane with a coordinate system (a <br>
//! gp_Ax22d object) of which: <br>
//! - the origin is the center of the hyperbola, <br>
//! - the "X Direction" defines the major axis of the hyperbola, and <br>
//! - the "Y Direction" defines the minor axis of the hyperbola. <br>
//! This coordinate system is the "local coordinate system" <br>
//! of the hyperbola. The orientation of this coordinate <br>
//! system (direct or indirect) gives an implicit orientation to <br>
//! the hyperbola. In this coordinate system, the equation of <br>
//! the hyperbola is: <br>
//! X*X/(MajorRadius**2)-Y*Y/(MinorRadius**2) = 1.0 <br>
//! The branch of the hyperbola described is the one located <br>
//! on the positive side of the major axis. <br>
//! The following schema shows the plane of the hyperbola, <br>
//! and in it, the respective positions of the three branches of <br>
//! hyperbolas constructed with the functions OtherBranch, <br>
//! ConjugateBranch1, and ConjugateBranch2: <br>
//! ^YAxis <br>
//! | <br>
//! FirstConjugateBranch <br>
//! | <br>
//! Other | Main <br>
//! --------------------- C ------------------------------>XAxis <br>
//! Branch | Branch <br>
//! | <br>
//! | <br>
//! SecondConjugateBranch <br>
//! | <br>
class gp_Hypr2d {
public:
void* operator new(size_t,void* anAddress)
{
return anAddress;
}
void* operator new(size_t size)
{
return Standard::Allocate(size);
}
void operator delete(void *anAddress)
{
if (anAddress) Standard::Free((Standard_Address&)anAddress);
}
//! Creates of an indefinite hyperbola. <br>
gp_Hypr2d();
//! Creates a hyperbola with radii MajorRadius and <br>
//! MinorRadius, centered on the origin of MajorAxis <br>
//! and where the unit vector of MajorAxis is the "X <br>
//! Direction" of the local coordinate system of the <br>
//! hyperbola. This coordinate system is direct if Sense <br>
//! is true (the default value), and indirect if Sense is false. <br>
//! Warnings : <br>
//! It is yet possible to create an Hyperbola with <br>
//! MajorRadius <= MinorRadius. <br>
//! Raises ConstructionError if MajorRadius < 0.0 or MinorRadius < 0.0 <br>
Standard_EXPORT gp_Hypr2d(const gp_Ax2d& MajorAxis,const Standard_Real MajorRadius,const Standard_Real MinorRadius,const Standard_Boolean Sense = Standard_True);
//! a hyperbola with radii MajorRadius and <br>
//! MinorRadius, positioned in the plane by coordinate system A where: <br>
//! - the origin of A is the center of the hyperbola, <br>
//! - the "X Direction" of A defines the major axis of <br>
//! the hyperbola, that is, the major radius <br>
//! MajorRadius is measured along this axis, and <br>
//! - the "Y Direction" of A defines the minor axis of <br>
//! the hyperbola, that is, the minor radius <br>
//! MinorRadius is measured along this axis, and <br>
//! - the orientation (direct or indirect sense) of A <br>
//! gives the implicit orientation of the hyperbola. <br>
//! Warnings : <br>
//! It is yet possible to create an Hyperbola with <br>
//! MajorRadius <= MinorRadius. <br>
//! Raises ConstructionError if MajorRadius < 0.0 or MinorRadius < 0.0 <br>
gp_Hypr2d(const gp_Ax22d& A,const Standard_Real MajorRadius,const Standard_Real MinorRadius);
//! Modifies this hyperbola, by redefining its local <br>
//! coordinate system so that its origin becomes P. <br>
void SetLocation(const gp_Pnt2d& P) ;
//! Modifies the major or minor radius of this hyperbola. <br>
//! Exceptions <br>
//! Standard_ConstructionError if MajorRadius or <br>
//! MinorRadius is negative. <br>
void SetMajorRadius(const Standard_Real MajorRadius) ;
//! Modifies the major or minor radius of this hyperbola. <br>
//! Exceptions <br>
//! Standard_ConstructionError if MajorRadius or <br>
//! MinorRadius is negative. <br>
void SetMinorRadius(const Standard_Real MinorRadius) ;
//! Modifies this hyperbola, by redefining its local <br>
//! coordinate system so that it becomes A. <br>
void SetAxis(const gp_Ax22d& A) ;
//! Changes the major axis of the hyperbola. The minor axis is <br>
//! recomputed and the location of the hyperbola too. <br>
void SetXAxis(const gp_Ax2d& A) ;
//! Changes the minor axis of the hyperbola.The minor axis is <br>
//! recomputed and the location of the hyperbola too. <br>
void SetYAxis(const gp_Ax2d& A) ;
//! In the local coordinate system of the hyperbola the equation of <br>
//! the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the <br>
//! equation of the first asymptote is Y = (B/A)*X <br>
//! where A is the major radius of the hyperbola and B the minor <br>
//! radius of the hyperbola. <br>
//! Raises ConstructionError if MajorRadius = 0.0 <br>
gp_Ax2d Asymptote1() const;
//! In the local coordinate system of the hyperbola the equation of <br>
//! the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the <br>
//! equation of the first asymptote is Y = -(B/A)*X <br>
//! where A is the major radius of the hyperbola and B the minor <br>
//! radius of the hyperbola. <br>
//! Raises ConstructionError if MajorRadius = 0.0 <br>
gp_Ax2d Asymptote2() const;
//! Computes the coefficients of the implicit equation of <br>
//! the hyperbola : <br>
//! A * (X**2) + B * (Y**2) + 2*C*(X*Y) + 2*D*X + 2*E*Y + F = 0. <br>
Standard_EXPORT void Coefficients(Standard_Real& A,Standard_Real& B,Standard_Real& C,Standard_Real& D,Standard_Real& E,Standard_Real& F) const;
//! Computes the branch of hyperbola which is on the positive side of the <br>
//! "YAxis" of <me>. <br>
gp_Hypr2d ConjugateBranch1() const;
//! Computes the branch of hyperbola which is on the negative side of the <br>
//! "YAxis" of <me>. <br>
gp_Hypr2d ConjugateBranch2() const;
//! Computes the directrix which is the line normal to the XAxis of the hyperbola <br>
//! in the local plane (Z = 0) at a distance d = MajorRadius / e <br>
//! from the center of the hyperbola, where e is the eccentricity of <br>
//! the hyperbola. <br>
//! This line is parallel to the "YAxis". The intersection point <br>
//! between the "Directrix1" and the "XAxis" is the "Location" point <br>
//! of the "Directrix1". <br>
//! This point is on the positive side of the "XAxis". <br>
gp_Ax2d Directrix1() const;
//! This line is obtained by the symmetrical transformation <br>
//! of "Directrix1" with respect to the "YAxis" of the hyperbola. <br>
gp_Ax2d Directrix2() const;
//! Returns the excentricity of the hyperbola (e > 1). <br>
//! If f is the distance between the location of the hyperbola <br>
//! and the Focus1 then the eccentricity e = f / MajorRadius. Raises DomainError if MajorRadius = 0.0. <br>
Standard_Real Eccentricity() const;
//! Computes the focal distance. It is the distance between the <br>
//! "Location" of the hyperbola and "Focus1" or "Focus2". <br>
Standard_Real Focal() const;
//! Returns the first focus of the hyperbola. This focus is on the <br>
//! positive side of the "XAxis" of the hyperbola. <br>
gp_Pnt2d Focus1() const;
//! Returns the second focus of the hyperbola. This focus is on the <br>
//! negative side of the "XAxis" of the hyperbola. <br>
gp_Pnt2d Focus2() const;
//! Returns the location point of the hyperbola. <br>
//! It is the intersection point between the "XAxis" and <br>
//! the "YAxis". <br>
const gp_Pnt2d& Location() const;
//! Returns the major radius of the hyperbola (it is the radius <br>
//! corresponding to the "XAxis" of the hyperbola). <br>
Standard_Real MajorRadius() const;
//! Returns the minor radius of the hyperbola (it is the radius <br>
//! corresponding to the "YAxis" of the hyperbola). <br>
Standard_Real MinorRadius() const;
//! Returns the branch of hyperbola obtained by doing the <br>
//! symmetrical transformation of <me> with respect to the <br>
//! "YAxis" of <me>. <br>
gp_Hypr2d OtherBranch() const;
//! Returns p = (e * e - 1) * MajorRadius where e is the <br>
//! eccentricity of the hyperbola. <br>
//! Raises DomainError if MajorRadius = 0.0 <br>
Standard_Real Parameter() const;
//! Returns the axisplacement of the hyperbola. <br>
const gp_Ax22d& Axis() const;
//! Computes an axis whose <br>
//! - the origin is the center of this hyperbola, and <br>
//! - the unit vector is the "X Direction" or "Y Direction" <br>
//! respectively of the local coordinate system of this hyperbola <br>
//! Returns the major axis of the hyperbola. <br>
Standard_EXPORT gp_Ax2d XAxis() const;
//! Computes an axis whose <br>
//! - the origin is the center of this hyperbola, and <br>
//! - the unit vector is the "X Direction" or "Y Direction" <br>
//! respectively of the local coordinate system of this hyperbola <br>
//! Returns the minor axis of the hyperbola. <br>
gp_Ax2d YAxis() const;
void Reverse() ;
//! Reverses the orientation of the local coordinate system <br>
//! of this hyperbola (the "Y Axis" is reversed). Therefore, <br>
//! the implicit orientation of this hyperbola is reversed. <br>
//! Note: <br>
//! - Reverse assigns the result to this hyperbola, while <br>
//! - Reversed creates a new one. <br>
gp_Hypr2d Reversed() const;
//! Returns true if the local coordinate system is direct <br>
//! and false in the other case. <br>
Standard_Boolean IsDirect() const;
Standard_EXPORT void Mirror(const gp_Pnt2d& P) ;
//! Performs the symmetrical transformation of an hyperbola with <br>
//! respect to the point P which is the center of the symmetry. <br>
Standard_EXPORT gp_Hypr2d Mirrored(const gp_Pnt2d& P) const;
Standard_EXPORT void Mirror(const gp_Ax2d& A) ;
//! Performs the symmetrical transformation of an hyperbola with <br>
//! respect to an axis placement which is the axis of the symmetry. <br>
Standard_EXPORT gp_Hypr2d Mirrored(const gp_Ax2d& A) const;
void Rotate(const gp_Pnt2d& P,const Standard_Real Ang) ;
//! Rotates an hyperbola. P is the center of the rotation. <br>
//! Ang is the angular value of the rotation in radians. <br>
gp_Hypr2d Rotated(const gp_Pnt2d& P,const Standard_Real Ang) const;
void Scale(const gp_Pnt2d& P,const Standard_Real S) ;
//! Scales an hyperbola. <S> is the scaling value. <br>
//! If <S> is positive only the location point is <br>
//! modified. But if <S> is negative the "XAxis" is <br>
//! reversed and the "YAxis" too. <br>
gp_Hypr2d Scaled(const gp_Pnt2d& P,const Standard_Real S) const;
void Transform(const gp_Trsf2d& T) ;
//! Transforms an hyperbola with the transformation T from <br>
//! class Trsf2d. <br>
gp_Hypr2d Transformed(const gp_Trsf2d& T) const;
void Translate(const gp_Vec2d& V) ;
//! Translates an hyperbola in the direction of the vector V. <br>
//! The magnitude of the translation is the vector's magnitude. <br>
gp_Hypr2d Translated(const gp_Vec2d& V) const;
void Translate(const gp_Pnt2d& P1,const gp_Pnt2d& P2) ;
//! Translates an hyperbola from the point P1 to the point P2. <br>
gp_Hypr2d Translated(const gp_Pnt2d& P1,const gp_Pnt2d& P2) const;
const gp_Ax22d& _CSFDB_Getgp_Hypr2dpos() const { return pos; }
Standard_Real _CSFDB_Getgp_Hypr2dmajorRadius() const { return majorRadius; }
void _CSFDB_Setgp_Hypr2dmajorRadius(const Standard_Real p) { majorRadius = p; }
Standard_Real _CSFDB_Getgp_Hypr2dminorRadius() const { return minorRadius; }
void _CSFDB_Setgp_Hypr2dminorRadius(const Standard_Real p) { minorRadius = p; }
protected:
private:
gp_Ax22d pos;
Standard_Real majorRadius;
Standard_Real minorRadius;
};
#include <gp_Hypr2d.lxx>
// other Inline functions and methods (like "C++: function call" methods)
#endif
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