Geometry.h

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/***************************************************************************
 *   Copyright (c) 2008 Werner Mayer <wmayer[at]users.sourceforge.net>     *
 *                                                                         *
 *   This file is part of the FreeCAD CAx development system.              *
 *                                                                         *
 *   This library is free software; you can redistribute it and/or         *
 *   modify it under the terms of the GNU Library General Public           *
 *   License as published by the Free Software Foundation; either          *
 *   version 2 of the License, or (at your option) any later version.      *
 *                                                                         *
 *   This library  is distributed in the hope that it will be useful,      *
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
 *   GNU Library General Public License for more details.                  *
 *                                                                         *
 *   You should have received a copy of the GNU Library General Public     *
 *   License along with this library; see the file COPYING.LIB. If not,    *
 *   write to the Free Software Foundation, Inc., 59 Temple Place,         *
 *   Suite 330, Boston, MA  02111-1307, USA                                *
 *                                                                         *
 ***************************************************************************/
 
#pragma once
#include <Precision.hxx>
#include <Handle_Geom_CartesianPoint.hxx>
#include <Handle_Geom_BezierCurve.hxx>
#include <Handle_Geom_BSplineCurve.hxx>
#include <Handle_Geom_Circle.hxx>
#include <Handle_Geom_Ellipse.hxx>
#include <Handle_Geom_Hyperbola.hxx>
#include <Handle_Geom_Parabola.hxx>
#include <Handle_Geom_Line.hxx>
#include <Handle_Geom_OffsetCurve.hxx>
#include <Handle_Geom_TrimmedCurve.hxx>
#include <Handle_Geom_Surface.hxx>
#include <Handle_Geom_BezierSurface.hxx>
#include <Handle_Geom_BSplineSurface.hxx>
#include <Handle_Geom_CylindricalSurface.hxx>
#include <Handle_Geom_ConicalSurface.hxx>
#include <Handle_Geom_SphericalSurface.hxx>
#include <Handle_Geom_ToroidalSurface.hxx>
#include <Handle_Geom_Plane.hxx>
#include <Handle_Geom_OffsetSurface.hxx>
#include <Handle_GeomPlate_Surface.hxx>
#include <Handle_Geom_RectangularTrimmedSurface.hxx>
#include <Handle_Geom_SurfaceOfRevolution.hxx>
#include <Handle_Geom_SurfaceOfLinearExtrusion.hxx>
 
#include <TopoDS_Shape.hxx>
#include <Base/Persistence.h>
#include <Base/Vector3D.h>
 
#include <boost/uuid/uuid.hpp>
#include <list>
 
class Adaptor3d_Curve;
class GeomPlate_BuildPlateSurface;
class Plate_Plate;
 
namespace Base
{
class Placement;
class Matrix4D;
}
 
namespace Geom {
class Lin;
class Pnt;
class Circ;
class GeometryExtension;
 
class LX_GEOM_EXPORT Geometry: public Base::Persistence
{
    TYPESYSTEM_HEADER();
public:
    virtual ~Geometry();
 
    virtual TopoDS_Shape toShape() const = 0;
    virtual const Handle(Geom_Geometry)& handle() const = 0;
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    virtual Geometry *copy(void) const = 0;
    Geometry *clone(void) const;
    boost::uuids::uuid getTag() const;
 
    std::vector<std::weak_ptr<const GeometryExtension>> getExtensions() const;
 
    bool hasExtension(Base::Type type) const;
    bool hasExtension(std::string name) const;
    std::weak_ptr<const GeometryExtension> getExtension(Base::Type type) const;
    std::weak_ptr<const GeometryExtension> getExtension(std::string name) const;
    std::weak_ptr<GeometryExtension> getExtension(Base::Type type);
    std::weak_ptr<GeometryExtension> getExtension(std::string name);
    void setExtension(std::unique_ptr<GeometryExtension> &&geo);
    void deleteExtension(Base::Type type);
    void deleteExtension(std::string name);
 
    void mirror(const Base::Vector3d& point);
    void mirror(const Base::Vector3d& point, const Base::Vector3d& dir);
    void rotate(const Base::Placement& plm);
    void scale(const Base::Vector3d& vec, double scale);
    void transform(const Base::Matrix4D& mat);
    void translate(const Base::Vector3d& vec);
 
protected:
    void createNewTag();
    void assignTag(const Geom::Geometry *);
 
    void copyNonTag(const Geom::Geometry *);
 
protected:
    Geometry();
 
protected:
    boost::uuids::uuid tag;
    std::vector<std::shared_ptr<GeometryExtension>> extensions;
 
private:
    Geometry(const Geometry&);
    Geometry& operator = (const Geometry&);
};
 
class LX_GEOM_EXPORT GeomPoint : public Geometry
{
    TYPESYSTEM_HEADER();
public:
    GeomPoint();
    GeomPoint(const Handle(Geom_CartesianPoint)&);
    GeomPoint(const Base::Vector3d&);
    GeomPoint(const Geom::Pnt& aPnt);
    virtual ~GeomPoint();
    virtual Geometry *copy(void) const;
    virtual TopoDS_Shape toShape() const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    const Handle(Geom_Geometry)& handle() const;
    void setHandle(const Handle(Geom_CartesianPoint)&);
 
    Base::Vector3d getPoint(void)const;
    void setPoint(const Base::Vector3d&);
 
private:
    Handle(Geom_CartesianPoint) myPoint;
};
 
class GeomBSplineCurve;
class LX_GEOM_EXPORT GeomCurve : public Geometry
{
    TYPESYSTEM_HEADER();
public:
    GeomCurve();
    virtual ~GeomCurve();
 
    TopoDS_Shape toShape() const;
    GeomBSplineCurve* toBSpline(double first, double last) const;
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
    bool tangent(double u, gp_Dir&) const;
    bool tangent(double u, Base::Vector3d& dir) const;
    Base::Vector3d pointAtParameter(double u) const;
    Base::Vector3d firstDerivativeAtParameter(double u) const;
    Base::Vector3d secondDerivativeAtParameter(double u) const;
    bool closestParameter(const Base::Vector3d& point, double &u) const;
    bool closestParameterToBasisCurve(const Base::Vector3d& point, double &u) const;
    double getFirstParameter() const;
    double getLastParameter() const;
    double curvatureAt(double u) const;
    double length(double u, double v) const;
    bool normalAt(double u, Base::Vector3d& dir) const;
    bool intersect(GeomCurve * c,
                   std::vector<std::pair<Base::Vector3d, Base::Vector3d>>& points,
                   double tol = ::Precision::Confusion()) const;
 
    void reverse(void);
 
protected:
    static bool intersect(const Handle(Geom_Curve) c, const Handle(Geom_Curve) c2,
                          std::vector<std::pair<Base::Vector3d, Base::Vector3d>>& points,
                          double tol = ::Precision::Confusion());
};
 
class LX_GEOM_EXPORT GeomBoundedCurve : public GeomCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomBoundedCurve();
    virtual ~GeomBoundedCurve();
 
    // Geometry helper
    virtual Base::Vector3d getStartPoint() const;
    virtual Base::Vector3d getEndPoint() const;
};
 
class LX_GEOM_EXPORT GeomBezierCurve : public GeomBoundedCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomBezierCurve();
    GeomBezierCurve(const Handle(Geom_BezierCurve)&);
    GeomBezierCurve(const std::vector<Base::Vector3d>&, const std::vector<double>&);
    virtual ~GeomBezierCurve();
    virtual Geometry *copy(void) const;
    std::vector<Base::Vector3d> getPoles() const;
    std::vector<double> getWeights() const;
 
    // Persistence implementer ---------------------
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_BezierCurve)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_BezierCurve) myCurve;
};
 
class LX_GEOM_EXPORT GeomBSplineCurve : public GeomBoundedCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomBSplineCurve();
    GeomBSplineCurve(const Handle(Geom_BSplineCurve)&);
 
    GeomBSplineCurve( const std::vector<Base::Vector3d>& poles, const std::vector<double>& weights,
                      const std::vector<double>& knots, const std::vector<int>& multiplicities,
                      int degree, bool periodic=false, bool checkrational = true);
 
    virtual ~GeomBSplineCurve();
    virtual Geometry *copy(void) const;
 
    void interpolate(const std::vector<gp_Pnt>&, const std::vector<gp_Vec>&);
    void getCardinalSplineTangents(const std::vector<gp_Pnt>&,
                                   const std::vector<double>&,
                                   std::vector<gp_Vec>&) const;
    void getCardinalSplineTangents(const std::vector<gp_Pnt>&, double,
                                   std::vector<gp_Vec>&) const;
 
    int countPoles() const;
    int countKnots() const;
    void setPole(int index, const Base::Vector3d&, double weight=-1);
    void setPoles(const std::vector<Base::Vector3d>& poles, const std::vector<double>& weights);
    void setPoles(const std::vector<Base::Vector3d>& poles);
    void setWeights(const std::vector<double>& weights);
    void setKnot(int index, const double val, int mult=-1);
    void setKnots(const std::vector<double>& knots);
    void setKnots(const std::vector<double>& knots, const std::vector<int>& multiplicities);
    std::vector<Base::Vector3d> getPoles() const;
    std::vector<double> getWeights() const;
    std::vector<double> getKnots() const;
    std::vector<int> getMultiplicities() const;
    int getMultiplicity(int index) const;
    int getDegree() const;
    bool isPeriodic() const;
    bool isRational() const;
    bool join(const Handle(Geom_BSplineCurve)&);
    void makeC1Continuous(double, double);
    std::list<Geometry*> toBiArcs(double tolerance) const;
 
    void increaseDegree(int degree);
    bool approximate(double tol3d, int maxSegments, int maxDegree, int continuity);
 
    void increaseMultiplicity(int index, int multiplicity);
    bool removeKnot(int index, int multiplicity, double tolerance = ::Precision::PConfusion());
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_BSplineCurve)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    void createArcs(double tolerance, std::list<Geometry*>& new_spans,
                    const gp_Pnt &p_start, const gp_Vec &v_start,
                    double t_start, double t_end, gp_Pnt &p_end, gp_Vec &v_end) const;
    bool calculateBiArcPoints(const gp_Pnt& p0, gp_Vec v_start,
                              const gp_Pnt& p4, gp_Vec v_end,
                              gp_Pnt& p1, gp_Pnt& p2, gp_Pnt& p3) const;
private:
    Handle(Geom_BSplineCurve) myCurve;
};
 
class LX_GEOM_EXPORT GeomConic : public GeomCurve
{
    TYPESYSTEM_HEADER();
 
protected:
    GeomConic();
 
public:
    virtual ~GeomConic();
    virtual Geometry *copy(void) const = 0;
 
    Base::Vector3d getCenter(void) const;
    Base::Vector3d getLocation(void) const;
    void setLocation(const Base::Vector3d& Center);
    void setCenter(const Base::Vector3d& Center);
    double getAngleXU(void) const;
    void setAngleXU(double angle);
    bool isReversed() const;
    const Handle(Geom_Geometry)& handle() const = 0;
};
 
class LX_GEOM_EXPORT GeomTrimmedCurve : public GeomBoundedCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomTrimmedCurve();
    GeomTrimmedCurve(const Handle(Geom_TrimmedCurve)&);
    virtual ~GeomTrimmedCurve();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    const Handle(Geom_Geometry)& handle() const;
 
    bool intersectBasisCurves(  const GeomTrimmedCurve * c,
                            std::vector<std::pair<Base::Vector3d, Base::Vector3d>>& points,
                            double tol = ::Precision::Confusion()) const;
 
    virtual void getRange(double& u, double& v) const;
    virtual void setRange(double u, double v);
 
protected:
    Handle(Geom_TrimmedCurve) myCurve;
};
 
 
 
class LX_GEOM_EXPORT GeomArcOfConic : public GeomTrimmedCurve
{
    TYPESYSTEM_HEADER();
 
protected:
    GeomArcOfConic();
 
public:
    virtual ~GeomArcOfConic();
    virtual Geometry *copy(void) const = 0;
 
    Base::Vector3d getStartPoint(bool emulateCCWXY) const;
    Base::Vector3d getEndPoint(bool emulateCCWXY) const;
 
    inline virtual Base::Vector3d getStartPoint() const {return getStartPoint(false);}
    inline virtual Base::Vector3d getEndPoint() const {return getEndPoint(false);}
    Base::Vector3d getCenter(void) const;
    Base::Vector3d getLocation(void) const;
    void setLocation(const Base::Vector3d& Center);
    void setCenter(const Base::Vector3d& Center);
 
    virtual void getRange(double& u, double& v, bool emulateCCWXY) const = 0;
    virtual void setRange(double u, double v, bool emulateCCWXY) = 0;
 
    inline virtual void getRange(double& u, double& v) const { getRange(u,v,false);}
    inline virtual void setRange(double u, double v) { setRange(u,v,false);}
 
    bool isReversed() const;
    double getAngleXU(void) const;
    void setAngleXU(double angle);
 
    Base::Vector3d getXAxisDir() const;
    void setXAxisDir(const Base::Vector3d& newdir);
    const Handle(Geom_Geometry)& handle() const = 0;
};
 
class LX_GEOM_EXPORT GeomCircle : public GeomConic
{
    TYPESYSTEM_HEADER();
public:
    GeomCircle();
    GeomCircle(const Handle(Geom_Circle)&);
    virtual ~GeomCircle();
    virtual Geometry *copy(void) const;
 
    double getRadius(void) const;
    void setRadius(double Radius);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    const Handle(Geom_Geometry)& handle() const;
 
    void setHandle(const Handle(Geom_Circle)&);
 
private:
    Handle(Geom_Circle) myCurve;
};
 
class LX_GEOM_EXPORT GeomArcOfCircle : public GeomArcOfConic
{
    TYPESYSTEM_HEADER();
public:
    GeomArcOfCircle();
    GeomArcOfCircle(const Handle(Geom_Circle)&);
    GeomArcOfCircle(const Geom::Circ& aCirc, double aParam1, double aParam2);
    virtual ~GeomArcOfCircle();
    virtual Geometry *copy(void) const;
 
    double getRadius(void) const;
    void setRadius(double Radius);
 
    virtual void getRange(double& u, double& v, bool emulateCCWXY) const;
    virtual void setRange(double u, double v, bool emulateCCWXY);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    void setHandle(const Handle(Geom_Circle)&);
    const Handle(Geom_Geometry)& handle() const;
 
};
 
class LX_GEOM_EXPORT GeomEllipse : public GeomConic
{
    TYPESYSTEM_HEADER();
public:
    GeomEllipse();
    GeomEllipse(const Handle(Geom_Ellipse)&);
    virtual ~GeomEllipse();
    virtual Geometry *copy(void) const;
 
    double getMajorRadius(void) const;
    void setMajorRadius(double Radius);
    double getMinorRadius(void) const;
    void setMinorRadius(double Radius);
    Base::Vector3d getMajorAxisDir() const;
    void setMajorAxisDir(Base::Vector3d newdir);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    void setHandle(const Handle(Geom_Ellipse) &e);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_Ellipse) myCurve;
};
 
class LX_GEOM_EXPORT GeomArcOfEllipse : public GeomArcOfConic
{
    TYPESYSTEM_HEADER();
public:
    GeomArcOfEllipse();
    GeomArcOfEllipse(const Handle(Geom_Ellipse)&);
    virtual ~GeomArcOfEllipse();
    virtual Geometry *copy(void) const;
 
    double getMajorRadius(void) const;
    void setMajorRadius(double Radius);
    double getMinorRadius(void) const;
    void setMinorRadius(double Radius);
    Base::Vector3d getMajorAxisDir() const;
    void setMajorAxisDir(Base::Vector3d newdir);
 
    virtual void getRange(double& u, double& v, bool emulateCCWXY) const;
    virtual void setRange(double u, double v, bool emulateCCWXY);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    void setHandle(const Handle(Geom_Ellipse)&);
    const Handle(Geom_Geometry)& handle() const;
};
 
 
class LX_GEOM_EXPORT GeomHyperbola : public GeomConic
{
    TYPESYSTEM_HEADER();
public:
    GeomHyperbola();
    GeomHyperbola(const Handle(Geom_Hyperbola)&);
    virtual ~GeomHyperbola();
    virtual Geometry *copy(void) const;
 
    double getMajorRadius(void) const;
    void setMajorRadius(double Radius);
    double getMinorRadius(void) const;
    void setMinorRadius(double Radius);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    const Handle(Geom_Geometry)& handle() const;
    void setHandle(const Handle(Geom_Hyperbola)&);
 
private:
    Handle(Geom_Hyperbola) myCurve;
};
 
class LX_GEOM_EXPORT GeomArcOfHyperbola : public GeomArcOfConic
{
    TYPESYSTEM_HEADER();
public:
    GeomArcOfHyperbola();
    GeomArcOfHyperbola(const Handle(Geom_Hyperbola)&);
    virtual ~GeomArcOfHyperbola();
    virtual Geometry *copy(void) const;
 
    double getMajorRadius(void) const;
    void setMajorRadius(double Radius);
    double getMinorRadius(void) const;
    void setMinorRadius(double Radius);
    Base::Vector3d getMajorAxisDir() const;
    void setMajorAxisDir(Base::Vector3d newdir);
 
    virtual void getRange(double& u, double& v, bool emulateCCWXY) const;
    virtual void setRange(double u, double v, bool emulateCCWXY);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    void setHandle(const Handle(Geom_Hyperbola)&);
    const Handle(Geom_Geometry)& handle() const;
};
 
class LX_GEOM_EXPORT GeomParabola : public GeomConic
{
    TYPESYSTEM_HEADER();
public:
    GeomParabola();
    GeomParabola(const Handle(Geom_Parabola)&);
    virtual ~GeomParabola();
    virtual Geometry *copy(void) const;
 
    double getFocal(void) const;
    void setFocal(double length);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    const Handle(Geom_Geometry)& handle() const;
    void setHandle(const Handle(Geom_Parabola)&);
 
private:
    Handle(Geom_Parabola) myCurve;
};
 
class LX_GEOM_EXPORT GeomArcOfParabola : public GeomArcOfConic
{
    TYPESYSTEM_HEADER();
public:
    GeomArcOfParabola();
    GeomArcOfParabola(const Handle(Geom_Parabola)&);
    virtual ~GeomArcOfParabola();
    virtual Geometry *copy(void) const;
 
    double getFocal(void) const;
    void setFocal(double length);
 
    Base::Vector3d getFocus(void) const;
 
    virtual void getRange(double& u, double& v, bool emulateCCWXY) const;
    virtual void setRange(double u, double v, bool emulateCCWXY);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
    virtual GeomBSplineCurve* toNurbs(double first, double last) const;
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    void setHandle(const Handle(Geom_Parabola)&);
    const Handle(Geom_Geometry)& handle() const;
};
 
class LX_GEOM_EXPORT GeomLine : public GeomCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomLine();
    GeomLine(const Handle(Geom_Line)&);
    GeomLine(const Base::Vector3d& Pos, const Base::Vector3d& Dir);
    virtual ~GeomLine();
    virtual Geometry *copy(void) const;
 
    void setLine(const Base::Vector3d& Pos, const Base::Vector3d& Dir);
    Base::Vector3d getPos(void) const;
    Base::Vector3d getDir(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    const Handle(Geom_Geometry)& handle() const;
    void setHandle(const Handle(Geom_Line)&);
 
private:
    Handle(Geom_Line) myCurve;
};
 
class LX_GEOM_EXPORT GeomLineSegment : public GeomTrimmedCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomLineSegment();
    GeomLineSegment(const Handle(Geom_Line)& l);
    GeomLineSegment(const Geom::Lin& aLin, double aParam1, double aParam2);
    virtual ~GeomLineSegment();
    virtual Geometry *copy(void) const;
 
    Base::Vector3d getStartPoint() const;
    Base::Vector3d getEndPoint() const;
 
    void setPoints(const Base::Vector3d& p1,
                   const Base::Vector3d& p2);
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_TrimmedCurve)&);
    void setHandle(const Handle(Geom_Line)&);
    const Handle(Geom_Geometry)& handle() const;
 
};
 
class LX_GEOM_EXPORT GeomOffsetCurve : public GeomCurve
{
    TYPESYSTEM_HEADER();
public:
    GeomOffsetCurve();
    GeomOffsetCurve(const Handle(Geom_Curve)&, double, const gp_Dir&);
    GeomOffsetCurve(const Handle(Geom_Curve)&, double, Base::Vector3d&);
    GeomOffsetCurve(const Handle(Geom_OffsetCurve)&);
    virtual ~GeomOffsetCurve();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_OffsetCurve)& c);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_OffsetCurve) myCurve;
};
 
class LX_GEOM_EXPORT GeomSurface : public Geometry
{
    TYPESYSTEM_HEADER();
public:
    enum Curvature {
        Maximum,
        Minimum,
        Mean,
        Gaussian
    };
 
    GeomSurface();
    virtual ~GeomSurface();
 
    TopoDS_Shape toShape() const;
    bool tangentU(double u, double v, gp_Dir& dirU) const;
    bool tangentV(double u, double v, gp_Dir& dirV) const;
    bool normal(double u, double v, gp_Dir& dir) const;
 
    bool isUmbillic(double u, double v) const;
    double curvature(double u, double v, Curvature) const;
    void curvatureDirections(double u, double v, gp_Dir& maxD, gp_Dir& minD) const;
};
 
class LX_GEOM_EXPORT GeomBezierSurface : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomBezierSurface();
    GeomBezierSurface(const Handle(Geom_BezierSurface)&);
    virtual ~GeomBezierSurface();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_BezierSurface)& b);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_BezierSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomBSplineSurface : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomBSplineSurface();
    GeomBSplineSurface(const Handle(Geom_BSplineSurface)&);
    virtual ~GeomBSplineSurface();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_BSplineSurface)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_BSplineSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomCylinder : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomCylinder();
    GeomCylinder(const Handle(Geom_CylindricalSurface)&);
    virtual ~GeomCylinder();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_CylindricalSurface)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_CylindricalSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomCone : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomCone();
    GeomCone(const Handle(Geom_ConicalSurface)&);
    virtual ~GeomCone();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_ConicalSurface)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_ConicalSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomSphere : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomSphere();
    GeomSphere(const Handle(Geom_SphericalSurface)&);
    virtual ~GeomSphere();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_SphericalSurface)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_SphericalSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomToroid : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomToroid();
    GeomToroid(const Handle(Geom_ToroidalSurface)&);
    virtual ~GeomToroid();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_ToroidalSurface)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_ToroidalSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomPlane : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomPlane();
    GeomPlane(const Handle(Geom_Plane)&);
    virtual ~GeomPlane();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_Plane)&);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_Plane) mySurface;
};
 
class LX_GEOM_EXPORT GeomOffsetSurface : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomOffsetSurface();
    GeomOffsetSurface(const Handle(Geom_Surface)&, double);
    GeomOffsetSurface(const Handle(Geom_OffsetSurface)&);
    virtual ~GeomOffsetSurface();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_OffsetSurface)& s);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_OffsetSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomPlateSurface : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomPlateSurface();
    GeomPlateSurface(const Handle(Geom_Surface)&, const Plate_Plate&);
    GeomPlateSurface(const GeomPlate_BuildPlateSurface&);
    GeomPlateSurface(const Handle(GeomPlate_Surface)&);
    virtual ~GeomPlateSurface();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(GeomPlate_Surface)& s);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(GeomPlate_Surface) mySurface;
};
 
class LX_GEOM_EXPORT GeomTrimmedSurface : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomTrimmedSurface();
    GeomTrimmedSurface(const Handle(Geom_RectangularTrimmedSurface)&);
    virtual ~GeomTrimmedSurface();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_RectangularTrimmedSurface)& s);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_RectangularTrimmedSurface) mySurface;
};
 
class LX_GEOM_EXPORT GeomSurfaceOfRevolution : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomSurfaceOfRevolution();
    GeomSurfaceOfRevolution(const Handle(Geom_Curve)&, const gp_Ax1&);
    GeomSurfaceOfRevolution(const Handle(Geom_SurfaceOfRevolution)&);
    virtual ~GeomSurfaceOfRevolution();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_SurfaceOfRevolution)& c);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_SurfaceOfRevolution) mySurface;
};
 
class LX_GEOM_EXPORT GeomSurfaceOfExtrusion : public GeomSurface
{
    TYPESYSTEM_HEADER();
public:
    GeomSurfaceOfExtrusion();
    GeomSurfaceOfExtrusion(const Handle(Geom_Curve)&, const gp_Dir&);
    GeomSurfaceOfExtrusion(const Handle(Geom_SurfaceOfLinearExtrusion)&);
    virtual ~GeomSurfaceOfExtrusion();
    virtual Geometry *copy(void) const;
 
    // Persistence implementer ---------------------
    
    virtual void save(Base::AbstractWriter& /*writer*/, Base::PersistenceVersion& /*save_version*/) override;
    virtual void restore(Base::AbstractXMLReader& /*reader*/, Base::PersistenceVersion& /*version*/) override;
    // Base implementer ----------------------------
    
 
    void setHandle(const Handle(Geom_SurfaceOfLinearExtrusion)& c);
    const Handle(Geom_Geometry)& handle() const;
 
private:
    Handle(Geom_SurfaceOfLinearExtrusion) mySurface;
};
 
 
// Helper functions for fillet tools
 LX_GEOM_EXPORT 
bool find2DLinesIntersection(const Base::Vector3d &orig1, const Base::Vector3d &dir1,
                             const Base::Vector3d &orig2, const Base::Vector3d &dir2,
                             Base::Vector3d &point);
 LX_GEOM_EXPORT 
bool find2DLinesIntersection(const GeomLineSegment *lineSeg1, const GeomLineSegment *lineSeg2,
                             Base::Vector3d &point);
 LX_GEOM_EXPORT 
bool findFilletCenter(const GeomLineSegment *lineSeg1, const GeomLineSegment *lineSeg2, double radius,
                      Base::Vector3d &center);
 LX_GEOM_EXPORT 
bool findFilletCenter(const GeomLineSegment *lineSeg1, const GeomLineSegment *lineSeg2, double radius,
                      const Base::Vector3d& refPnt1, const Base::Vector3d& refPnt2,
                      Base::Vector3d &center);
 LX_GEOM_EXPORT 
double suggestFilletRadius(const GeomLineSegment *lineSeg1, const GeomLineSegment *lineSeg2,
                           const Base::Vector3d &refPnt1, const Base::Vector3d &refPnt2);
 LX_GEOM_EXPORT 
GeomArcOfCircle *createFilletGeometry(const GeomLineSegment *lineSeg1, const GeomLineSegment *lineSeg2,
                                      const Base::Vector3d &center, double radius);
 LX_GEOM_EXPORT 
std::unique_ptr<GeomSurface> makeFromSurface(const Handle(Geom_Surface)&);
 
 LX_GEOM_EXPORT 
std::unique_ptr<GeomCurve> makeFromCurve(const Handle(Geom_Curve)&);
 
 LX_GEOM_EXPORT 
std::unique_ptr<GeomCurve> makeFromTrimmedCurve(const Handle(Geom_Curve)&, double f, double l);
 
 LX_GEOM_EXPORT 
std::unique_ptr<GeomCurve> makeFromCurveAdaptor(const Adaptor3d_Curve&);
}