/usr/include/oce/gp_Torus.hxx is in liboce-foundation-dev 0.18.2-2build1.
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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_Torus_HeaderFile
#define _gp_Torus_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <gp_Ax3.hxx>
#include <Standard_Real.hxx>
#include <Standard_Storable.hxx>
#include <Standard_Boolean.hxx>
#include <gp_Ax1.hxx>
#include <Standard_PrimitiveTypes.hxx>
class Standard_ConstructionError;
class Standard_DimensionError;
class gp_Ax3;
class gp_Ax1;
class gp_Pnt;
class TColStd_Array1OfReal;
class gp_Ax2;
class gp_Trsf;
class gp_Vec;
Standard_EXPORT const Handle(Standard_Type)& STANDARD_TYPE(gp_Torus);
//! Describes a torus.
//! A torus is defined by its major and minor radii and
//! positioned in space with a coordinate system (a gp_Ax3
//! object) as follows:
//! - The origin of the coordinate system is the center of the torus;
//! - The surface is obtained by rotating a circle of radius
//! equal to the minor radius of the torus about the "main
//! Direction" of the coordinate system. This circle is
//! located in the plane defined by the origin, the "X
//! Direction" and the "main Direction" of the coordinate
//! system. It is centered on the "X Axis" of this coordinate
//! system, and located at a distance, from the origin of
//! this coordinate system, equal to the major radius of the torus;
//! - The "X Direction" and "Y Direction" define the
//! reference plane of the torus.
//! The coordinate system described above is the "local
//! coordinate system" of the torus.
//! Note: when a gp_Torus torus is converted into a
//! Geom_ToroidalSurface torus, some implicit properties
//! of its local coordinate system are used explicitly:
//! - its origin, "X Direction", "Y Direction" and "main
//! Direction" are used directly to define the parametric
//! directions on the torus and the origin of the parameters,
//! - its implicit orientation (right-handed or left-handed)
//! gives the orientation (direct, indirect) to the
//! Geom_ToroidalSurface torus.
//! See Also
//! gce_MakeTorus which provides functions for more
//! complex torus constructions
//! Geom_ToroidalSurface which provides additional
//! functions for constructing tori and works, in particular,
//! with the parametric equations of tori.
class gp_Torus
{
public:
DEFINE_STANDARD_ALLOC
//! creates an indefinite Torus.
gp_Torus();
//! a torus centered on the origin of coordinate system
//! A3, with major radius MajorRadius and minor radius
//! MinorRadius, and with the reference plane defined
//! by the origin, the "X Direction" and the "Y Direction" of A3.
//! Warnings :
//! It is not forbidden to create a torus with
//! MajorRadius = MinorRadius = 0.0
//! Raises ConstructionError if MinorRadius < 0.0 or if MajorRadius < 0.0
gp_Torus(const gp_Ax3& A3, const Standard_Real MajorRadius, const Standard_Real MinorRadius);
//! Modifies this torus, by redefining its local coordinate
//! system so that:
//! - its origin and "main Direction" become those of the
//! axis A1 (the "X Direction" and "Y Direction" are then recomputed).
//! Raises ConstructionError if the direction of A1 is parallel to the "XDirection"
//! of the coordinate system of the toroidal surface.
void SetAxis (const gp_Ax1& A1) ;
//! Changes the location of the torus.
void SetLocation (const gp_Pnt& Loc) ;
//! Assigns value to the major radius of this torus.
//! Raises ConstructionError if MajorRadius - MinorRadius <= Resolution()
void SetMajorRadius (const Standard_Real MajorRadius) ;
//! Assigns value to the minor radius of this torus.
//! Raises ConstructionError if MinorRadius < 0.0 or if
//! MajorRadius - MinorRadius <= Resolution from gp.
void SetMinorRadius (const Standard_Real MinorRadius) ;
//! Changes the local coordinate system of the surface.
void SetPosition (const gp_Ax3& A3) ;
//! Computes the area of the torus.
Standard_Real Area() const;
//! Reverses the U parametrization of the torus
//! reversing the YAxis.
void UReverse() ;
//! Reverses the V parametrization of the torus
//! reversing the ZAxis.
Standard_EXPORT void VReverse() ;
//! returns true if the Ax3, the local coordinate system of this torus, is right handed.
Standard_Boolean Direct() const;
//! returns the symmetry axis of the torus.
const gp_Ax1& Axis() const;
//! Computes the coefficients of the implicit equation of the surface
//! in the absolute cartesian coordinate system :
//! Coef(1) * X**4 + Coef(2) * Y**4 + Coef(3) * Z**4 +
//! Coef(4) * X**3 * Y + Coef(5) * X**3 * Z + Coef(6) * Y**3 * X +
//! Coef(7) * Y**3 * Z + Coef(8) * Z**3 * X + Coef(9) * Z**3 * Y +
//! Coef(10) * X**2 * Y**2 + Coef(11) * X**2 * Z**2 +
//! Coef(12) * Y**2 * Z**2 + Coef(13) * X**3 + Coef(14) * Y**3 +
//! Coef(15) * Z**3 + Coef(16) * X**2 * Y + Coef(17) * X**2 * Z +
//! Coef(18) * Y**2 * X + Coef(19) * Y**2 * Z + Coef(20) * Z**2 * X +
//! Coef(21) * Z**2 * Y + Coef(22) * X**2 + Coef(23) * Y**2 +
//! Coef(24) * Z**2 + Coef(25) * X * Y + Coef(26) * X * Z +
//! Coef(27) * Y * Z + Coef(28) * X + Coef(29) * Y + Coef(30) * Z +
//! Coef(31) = 0.0
//! Raises DimensionError if the length of Coef is lower than 31.
Standard_EXPORT void Coefficients (TColStd_Array1OfReal& Coef) const;
//! Returns the Torus's location.
const gp_Pnt& Location() const;
//! Returns the local coordinates system of the torus.
const gp_Ax3& Position() const;
//! returns the major radius of the torus.
Standard_Real MajorRadius() const;
//! returns the minor radius of the torus.
Standard_Real MinorRadius() const;
//! Computes the volume of the torus.
Standard_Real Volume() const;
//! returns the axis X of the torus.
gp_Ax1 XAxis() const;
//! returns the axis Y of the torus.
gp_Ax1 YAxis() const;
Standard_EXPORT void Mirror (const gp_Pnt& P) ;
//! Performs the symmetrical transformation of a torus
//! with respect to the point P which is the center of the
//! symmetry.
Standard_EXPORT gp_Torus Mirrored (const gp_Pnt& P) const;
Standard_EXPORT void Mirror (const gp_Ax1& A1) ;
//! Performs the symmetrical transformation of a torus with
//! respect to an axis placement which is the axis of the
//! symmetry.
Standard_EXPORT gp_Torus Mirrored (const gp_Ax1& A1) const;
Standard_EXPORT void Mirror (const gp_Ax2& A2) ;
//! Performs the symmetrical transformation of a torus with respect
//! to a plane. The axis placement A2 locates the plane of the
//! of the symmetry : (Location, XDirection, YDirection).
Standard_EXPORT gp_Torus Mirrored (const gp_Ax2& A2) const;
void Rotate (const gp_Ax1& A1, const Standard_Real Ang) ;
//! Rotates a torus. A1 is the axis of the rotation.
//! Ang is the angular value of the rotation in radians.
gp_Torus Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
void Scale (const gp_Pnt& P, const Standard_Real S) ;
//! Scales a torus. S is the scaling value.
//! The absolute value of S is used to scale the torus
gp_Torus Scaled (const gp_Pnt& P, const Standard_Real S) const;
void Transform (const gp_Trsf& T) ;
//! Transforms a torus with the transformation T from class Trsf.
gp_Torus Transformed (const gp_Trsf& T) const;
void Translate (const gp_Vec& V) ;
//! Translates a torus in the direction of the vector V.
//! The magnitude of the translation is the vector's magnitude.
gp_Torus Translated (const gp_Vec& V) const;
void Translate (const gp_Pnt& P1, const gp_Pnt& P2) ;
//! Translates a torus from the point P1 to the point P2.
gp_Torus Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;
const gp_Ax3& _CSFDB_Getgp_Toruspos() const { return pos; }
Standard_Real _CSFDB_Getgp_TorusmajorRadius() const { return majorRadius; }
void _CSFDB_Setgp_TorusmajorRadius(const Standard_Real p) { majorRadius = p; }
Standard_Real _CSFDB_Getgp_TorusminorRadius() const { return minorRadius; }
void _CSFDB_Setgp_TorusminorRadius(const Standard_Real p) { minorRadius = p; }
protected:
private:
gp_Ax3 pos;
Standard_Real majorRadius;
Standard_Real minorRadius;
};
#include <gp_Torus.lxx>
#endif // _gp_Torus_HeaderFile
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