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a9e5f65041
References to GeomLib::NormEstim() have been put to Geom_Surface, Adaptor3d_Surface and BRepAdaptor_Surface. Improved documentation of GeomLib::NormEstim().
256 lines
11 KiB
C++
256 lines
11 KiB
C++
// Created on: 1993-03-10
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// Created by: JCV
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// Copyright (c) 1993-1999 Matra Datavision
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// Copyright (c) 1999-2014 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _Geom_Surface_HeaderFile
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#define _Geom_Surface_HeaderFile
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#include <Geom_Curve.hxx>
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class gp_Trsf;
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class gp_GTrsf2d;
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class gp_Pnt;
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class gp_Vec;
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class Geom_Surface;
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DEFINE_STANDARD_HANDLE(Geom_Surface, Geom_Geometry)
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//! Describes the common behavior of surfaces in 3D space.
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//! The Geom package provides many implementations of concrete derived surfaces,
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//! such as planes, cylinders, cones, spheres and tori, surfaces of linear extrusion,
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//! surfaces of revolution, Bezier and BSpline surfaces, and so on.
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//! The key characteristic of these surfaces is that they are parameterized.
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//! Geom_Surface demonstrates:
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//! - how to work with the parametric equation of a surface
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//! to compute the point of parameters (u, v), and, at this point, the 1st, 2nd ... Nth derivative;
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//! - how to find global information about a surface in
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//! each parametric direction (for example, level of continuity, whether the surface is closed,
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//! its periodicity, the bounds of the parameters and so on);
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//! - how the parameters change when geometric transformations are applied to the surface,
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//! or the orientation is modified.
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//!
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//! Note that all surfaces must have a geometric continuity, and any surface is at least "C0".
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//! Generally, continuity is checked at construction time or when the curve is edited.
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//! Where this is not the case, the documentation makes this explicit.
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//!
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//! Warning
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//! The Geom package does not prevent the construction of
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//! surfaces with null areas, or surfaces which self-intersect.
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class Geom_Surface : public Geom_Geometry
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{
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public:
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//! Reverses the U direction of parametrization of <me>.
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//! The bounds of the surface are not modified.
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Standard_EXPORT virtual void UReverse() = 0;
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//! Reverses the U direction of parametrization of <me>.
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//! The bounds of the surface are not modified.
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//! A copy of <me> is returned.
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Standard_NODISCARD Standard_EXPORT Handle(Geom_Surface) UReversed() const;
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//! Returns the parameter on the Ureversed surface for
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//! the point of parameter U on <me>.
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//! @code
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//! me->UReversed()->Value(me->UReversedParameter(U),V)
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//! @endcode
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//! is the same point as
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//! @code
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//! me->Value(U,V)
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//! @endcode
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Standard_EXPORT virtual Standard_Real UReversedParameter (const Standard_Real U) const = 0;
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//! Reverses the V direction of parametrization of <me>.
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//! The bounds of the surface are not modified.
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Standard_EXPORT virtual void VReverse() = 0;
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//! Reverses the V direction of parametrization of <me>.
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//! The bounds of the surface are not modified.
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//! A copy of <me> is returned.
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Standard_NODISCARD Standard_EXPORT Handle(Geom_Surface) VReversed() const;
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//! Returns the parameter on the Vreversed surface for
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//! the point of parameter V on <me>.
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//! @code
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//! me->VReversed()->Value(U,me->VReversedParameter(V))
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//! @endcode
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//! is the same point as
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//! @code
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//! me->Value(U,V)
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//! @endcode
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Standard_EXPORT virtual Standard_Real VReversedParameter (const Standard_Real V) const = 0;
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//! Computes the parameters on the transformed surface for
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//! the transform of the point of parameters U,V on <me>.
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//! @code
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//! me->Transformed(T)->Value(U',V')
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//! @endcode
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//! is the same point as
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//! @code
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//! me->Value(U,V).Transformed(T)
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//! @endcode
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//! Where U',V' are the new values of U,V after calling
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//! @code
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//! me->TransformParameters(U,V,T)
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//! @endcode
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//! This method does not change <U> and <V>
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//!
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//! It can be redefined. For example on the Plane,
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//! Cylinder, Cone, Revolved and Extruded surfaces.
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Standard_EXPORT virtual void TransformParameters (Standard_Real& U, Standard_Real& V, const gp_Trsf& T) const;
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//! Returns a 2d transformation used to find the new
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//! parameters of a point on the transformed surface.
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//! @code
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//! me->Transformed(T)->Value(U',V')
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//! @endcode
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//! is the same point as
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//! @code
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//! me->Value(U,V).Transformed(T)
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//! @endcode
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//! Where U',V' are obtained by transforming U,V with
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//! the 2d transformation returned by
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//! @code
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//! me->ParametricTransformation(T)
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//! @endcode
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//! This method returns an identity transformation
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//!
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//! It can be redefined. For example on the Plane,
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//! Cylinder, Cone, Revolved and Extruded surfaces.
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Standard_EXPORT virtual gp_GTrsf2d ParametricTransformation (const gp_Trsf& T) const;
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//! Returns the parametric bounds U1, U2, V1 and V2 of this surface.
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//! If the surface is infinite, this function can return a value
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//! equal to Precision::Infinite: instead of Standard_Real::LastReal.
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Standard_EXPORT virtual void Bounds (Standard_Real& U1, Standard_Real& U2, Standard_Real& V1, Standard_Real& V2) const = 0;
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//! Checks whether this surface is closed in the u parametric direction.
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//! Returns true if, in the u parametric direction:
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//! taking uFirst and uLast as the parametric bounds in
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//! the u parametric direction, for each parameter v,
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//! the distance between the points P(uFirst, v) and
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//! P(uLast, v) is less than or equal to gp::Resolution().
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Standard_EXPORT virtual Standard_Boolean IsUClosed() const = 0;
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//! Checks whether this surface is closed in the u parametric direction.
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//! Returns true if, in the v parametric direction:
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//! taking vFirst and vLast as the parametric bounds in the v parametric direction,
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//! for each parameter u, the distance between the points
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//! P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution().
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Standard_EXPORT virtual Standard_Boolean IsVClosed() const = 0;
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//! Checks if this surface is periodic in the u parametric direction.
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//! Returns true if:
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//! - this surface is closed in the u parametric direction, and
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//! - there is a constant T such that the distance
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//! between the points P (u, v) and P (u + T, v)
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//! (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution().
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//!
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//! Note: T is the parametric period in the u parametric direction.
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Standard_EXPORT virtual Standard_Boolean IsUPeriodic() const = 0;
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//! Returns the period of this surface in the u parametric direction.
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//! Raises if the surface is not uperiodic.
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Standard_EXPORT virtual Standard_Real UPeriod() const;
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//! Checks if this surface is periodic in the v parametric direction.
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//! Returns true if:
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//! - this surface is closed in the v parametric direction, and
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//! - there is a constant T such that the distance
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//! between the points P (u, v) and P (u + T, v)
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//! (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution().
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//!
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//! Note: T is the parametric period in the v parametric direction.
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Standard_EXPORT virtual Standard_Boolean IsVPeriodic() const = 0;
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//! Returns the period of this surface in the v parametric direction.
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//! raises if the surface is not vperiodic.
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Standard_EXPORT virtual Standard_Real VPeriod() const;
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//! Computes the U isoparametric curve.
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Standard_EXPORT virtual Handle(Geom_Curve) UIso (const Standard_Real U) const = 0;
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//! Computes the V isoparametric curve.
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Standard_EXPORT virtual Handle(Geom_Curve) VIso (const Standard_Real V) const = 0;
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//! Returns the Global Continuity of the surface in direction U and V :
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//! - C0: only geometric continuity,
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//! - C1: continuity of the first derivative all along the surface,
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//! - C2: continuity of the second derivative all along the surface,
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//! - C3: continuity of the third derivative all along the surface,
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//! - G1: tangency continuity all along the surface,
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//! - G2: curvature continuity all along the surface,
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//! - CN: the order of continuity is infinite.
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//!
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//! Example:
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//! If the surface is C1 in the V parametric direction and C2
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//! in the U parametric direction Shape = C1.
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Standard_EXPORT virtual GeomAbs_Shape Continuity() const = 0;
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//! Returns the order of continuity of the surface in the U parametric direction.
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//! Raised if N < 0.
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Standard_EXPORT virtual Standard_Boolean IsCNu (const Standard_Integer N) const = 0;
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//! Returns the order of continuity of the surface in the V parametric direction.
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//! Raised if N < 0.
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Standard_EXPORT virtual Standard_Boolean IsCNv (const Standard_Integer N) const = 0;
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//! Computes the point of parameter U,V on the surface.
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//!
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//! Raised only for an "OffsetSurface" if it is not possible to
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//! compute the current point.
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Standard_EXPORT virtual void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt& P) const = 0;
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//! Computes the point P and the first derivatives in the directions U and V at this point.
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//! Raised if the continuity of the surface is not C1.
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//!
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//! Tip: use GeomLib::NormEstim() to calculate surface normal at specified (U, V) point.
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Standard_EXPORT virtual void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V) const = 0;
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//! Computes the point P, the first and the second derivatives in
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//! the directions U and V at this point.
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//! Raised if the continuity of the surface is not C2.
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Standard_EXPORT virtual void D2 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V, gp_Vec& D2U, gp_Vec& D2V, gp_Vec& D2UV) const = 0;
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//! Computes the point P, the first,the second and the third
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//! derivatives in the directions U and V at this point.
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//! Raised if the continuity of the surface is not C2.
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Standard_EXPORT virtual void D3 (const Standard_Real U, const Standard_Real V, gp_Pnt& P, gp_Vec& D1U, gp_Vec& D1V, gp_Vec& D2U, gp_Vec& D2V, gp_Vec& D2UV, gp_Vec& D3U, gp_Vec& D3V, gp_Vec& D3UUV, gp_Vec& D3UVV) const = 0;
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//! Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V).
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//!
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//! Raised if the continuity of the surface is not CNu in the U direction or not CNv in the V direction.
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//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
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Standard_EXPORT virtual gp_Vec DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const = 0;
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//! Computes the point of parameter (U, V) on the surface.
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//!
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//! It is implemented with D0.
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//! Tip: use GeomLib::NormEstim() to calculate surface normal at specified (U, V) point.
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//!
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//! Raised only for an "OffsetSurface" if it is not possible to compute the current point.
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Standard_EXPORT gp_Pnt Value (const Standard_Real U, const Standard_Real V) const;
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//! Dumps the content of me into the stream
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Standard_EXPORT virtual void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const Standard_OVERRIDE;
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DEFINE_STANDARD_RTTIEXT(Geom_Surface,Geom_Geometry)
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};
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#endif // _Geom_Surface_HeaderFile
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