mirror of
https://git.dev.opencascade.org/repos/occt.git
synced 2025-04-10 18:51:21 +03:00
213 lines
6.4 KiB
C++
213 lines
6.4 KiB
C++
// Copyright (c) 1991-1999 Matra Datavision
|
|
// Copyright (c) 1999-2014 OPEN CASCADE SAS
|
|
//
|
|
// This file is part of Open CASCADE Technology software library.
|
|
//
|
|
// This library is free software; you can redistribute it and/or modify it under
|
|
// the terms of the GNU Lesser General Public License version 2.1 as published
|
|
// by the Free Software Foundation, with special exception defined in the file
|
|
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
|
|
// distribution for complete text of the license and disclaimer of any warranty.
|
|
//
|
|
// Alternatively, this file may be used under the terms of Open CASCADE
|
|
// commercial license or contractual agreement.
|
|
|
|
#ifndef _gp_Sphere_HeaderFile
|
|
#define _gp_Sphere_HeaderFile
|
|
|
|
#include <Standard.hxx>
|
|
#include <Standard_DefineAlloc.hxx>
|
|
#include <Standard_Handle.hxx>
|
|
|
|
#include <gp_Ax3.hxx>
|
|
#include <Standard_Real.hxx>
|
|
#include <Standard_Boolean.hxx>
|
|
#include <gp_Ax1.hxx>
|
|
class Standard_ConstructionError;
|
|
class gp_Ax3;
|
|
class gp_Pnt;
|
|
class gp_Ax1;
|
|
class gp_Ax2;
|
|
class gp_Trsf;
|
|
class gp_Vec;
|
|
|
|
|
|
|
|
//! Describes a sphere.
|
|
//! A sphere is defined by its radius and positioned in space
|
|
//! with a coordinate system (a gp_Ax3 object). The origin of
|
|
//! the coordinate system is the center of the sphere. This
|
|
//! coordinate system is the "local coordinate system" of the sphere.
|
|
//! Note: when a gp_Sphere sphere is converted into a
|
|
//! Geom_SphericalSurface sphere, 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 sphere and the origin of the parameters,
|
|
//! - its implicit orientation (right-handed or left-handed)
|
|
//! gives the orientation (direct, indirect) to the
|
|
//! Geom_SphericalSurface sphere.
|
|
//! See Also
|
|
//! gce_MakeSphere which provides functions for more
|
|
//! complex sphere constructions
|
|
//! Geom_SphericalSurface which provides additional
|
|
//! functions for constructing spheres and works, in
|
|
//! particular, with the parametric equations of spheres.
|
|
class gp_Sphere
|
|
{
|
|
public:
|
|
|
|
DEFINE_STANDARD_ALLOC
|
|
|
|
|
|
//! Creates an indefinite sphere.
|
|
gp_Sphere();
|
|
|
|
|
|
//! Constructs a sphere with radius Radius, centered on the origin
|
|
//! of A3. A3 is the local coordinate system of the sphere.
|
|
//! Warnings :
|
|
//! It is not forbidden to create a sphere with null radius.
|
|
//! Raises ConstructionError if Radius < 0.0
|
|
gp_Sphere(const gp_Ax3& A3, const Standard_Real Radius);
|
|
|
|
//! Changes the center of the sphere.
|
|
void SetLocation (const gp_Pnt& Loc);
|
|
|
|
//! Changes the local coordinate system of the sphere.
|
|
void SetPosition (const gp_Ax3& A3);
|
|
|
|
//! Assigns R the radius of the Sphere.
|
|
//! Warnings :
|
|
//! It is not forbidden to create a sphere with null radius.
|
|
//! Raises ConstructionError if R < 0.0
|
|
void SetRadius (const Standard_Real R);
|
|
|
|
|
|
//! Computes the aera of the sphere.
|
|
Standard_Real Area() const;
|
|
|
|
|
|
//! Computes the coefficients of the implicit equation of the quadric
|
|
//! in the absolute cartesian coordinates system :
|
|
//! A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) +
|
|
//! 2.(C1.X + C2.Y + C3.Z) + D = 0.0
|
|
Standard_EXPORT void Coefficients (Standard_Real& A1, Standard_Real& A2, Standard_Real& A3, Standard_Real& B1, Standard_Real& B2, Standard_Real& B3, Standard_Real& C1, Standard_Real& C2, Standard_Real& C3, Standard_Real& D) const;
|
|
|
|
//! Reverses the U parametrization of the sphere
|
|
//! reversing the YAxis.
|
|
void UReverse();
|
|
|
|
//! Reverses the V parametrization of the sphere
|
|
//! reversing the ZAxis.
|
|
void VReverse();
|
|
|
|
//! Returns true if the local coordinate system of this sphere
|
|
//! is right-handed.
|
|
Standard_Boolean Direct() const;
|
|
|
|
//! --- Purpose ;
|
|
//! Returns the center of the sphere.
|
|
const gp_Pnt& Location() const;
|
|
|
|
|
|
//! Returns the local coordinates system of the sphere.
|
|
const gp_Ax3& Position() const;
|
|
|
|
//! Returns the radius of the sphere.
|
|
Standard_Real Radius() const;
|
|
|
|
//! Computes the volume of the sphere
|
|
Standard_Real Volume() const;
|
|
|
|
//! Returns the axis X of the sphere.
|
|
gp_Ax1 XAxis() const;
|
|
|
|
//! Returns the axis Y of the sphere.
|
|
gp_Ax1 YAxis() const;
|
|
|
|
Standard_EXPORT void Mirror (const gp_Pnt& P);
|
|
|
|
|
|
//! Performs the symmetrical transformation of a sphere
|
|
//! with respect to the point P which is the center of the
|
|
//! symmetry.
|
|
Standard_NODISCARD Standard_EXPORT gp_Sphere Mirrored (const gp_Pnt& P) const;
|
|
|
|
Standard_EXPORT void Mirror (const gp_Ax1& A1);
|
|
|
|
|
|
//! Performs the symmetrical transformation of a sphere with
|
|
//! respect to an axis placement which is the axis of the
|
|
//! symmetry.
|
|
Standard_NODISCARD Standard_EXPORT gp_Sphere Mirrored (const gp_Ax1& A1) const;
|
|
|
|
Standard_EXPORT void Mirror (const gp_Ax2& A2);
|
|
|
|
|
|
//! Performs the symmetrical transformation of a sphere with respect
|
|
//! to a plane. The axis placement A2 locates the plane of the
|
|
//! of the symmetry : (Location, XDirection, YDirection).
|
|
Standard_NODISCARD Standard_EXPORT gp_Sphere Mirrored (const gp_Ax2& A2) const;
|
|
|
|
void Rotate (const gp_Ax1& A1, const Standard_Real Ang);
|
|
|
|
|
|
//! Rotates a sphere. A1 is the axis of the rotation.
|
|
//! Ang is the angular value of the rotation in radians.
|
|
Standard_NODISCARD gp_Sphere Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
|
|
|
|
void Scale (const gp_Pnt& P, const Standard_Real S);
|
|
|
|
|
|
//! Scales a sphere. S is the scaling value.
|
|
//! The absolute value of S is used to scale the sphere
|
|
Standard_NODISCARD gp_Sphere Scaled (const gp_Pnt& P, const Standard_Real S) const;
|
|
|
|
void Transform (const gp_Trsf& T);
|
|
|
|
|
|
//! Transforms a sphere with the transformation T from class Trsf.
|
|
Standard_NODISCARD gp_Sphere Transformed (const gp_Trsf& T) const;
|
|
|
|
void Translate (const gp_Vec& V);
|
|
|
|
|
|
//! Translates a sphere in the direction of the vector V.
|
|
//! The magnitude of the translation is the vector's magnitude.
|
|
Standard_NODISCARD gp_Sphere Translated (const gp_Vec& V) const;
|
|
|
|
void Translate (const gp_Pnt& P1, const gp_Pnt& P2);
|
|
|
|
|
|
//! Translates a sphere from the point P1 to the point P2.
|
|
Standard_NODISCARD gp_Sphere Translated (const gp_Pnt& P1, const gp_Pnt& P2) const;
|
|
|
|
|
|
|
|
|
|
protected:
|
|
|
|
|
|
|
|
|
|
|
|
private:
|
|
|
|
|
|
|
|
gp_Ax3 pos;
|
|
Standard_Real radius;
|
|
|
|
|
|
};
|
|
|
|
|
|
#include <gp_Sphere.lxx>
|
|
|
|
|
|
|
|
|
|
|
|
#endif // _gp_Sphere_HeaderFile
|