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Geom


Geom_OffsetSurface Class Reference

Describes an offset surface in 3D space.
An offset surface is defined by:
- the basis surface to which it is parallel, and
- the distance between the offset surface and its basis surface.
A point on the offset surface is built by measuring the
offset value along the normal vector at a point on the
basis surface. This normal vector is given by the cross
product D1u^D1v, where D1u and D1v are the
vectors tangential to the basis surface in the u and v
parametric directions at this point. The side of the
basis surface on which the offset is measured
depends on the sign of the offset value.
A Geom_OffsetSurface surface can be
self-intersecting, even if the basis surface does not
self-intersect. The self-intersecting portions are not
deleted at the time of construction.
Warning
There must be only one normal vector defined at any
point on the basis surface. This must be verified by the
user as no check is made at the time of construction
to detect points with multiple possible normal
directions (for example, the top of a conical surface).
.

#include <Geom_OffsetSurface.hxx>

Inheritance diagram for Geom_OffsetSurface:

Inheritance graph
[legend]

Public Member Functions

Standard_EXPORT Geom_OffsetSurface (const Handle(Geom_Surface)&S, const Standard_Real Offset)
 Constructs a surface offset from the basis surface
S, where Offset is the distance between the offset
surface and the basis surface at any point.
A point on the offset surface is built by measuring
the offset value along a normal vector at a point on
S. This normal vector is given by the cross product
D1u^D1v, where D1u and D1v are the vectors
tangential to the basis surface in the u and v
parametric directions at this point. The side of S on
which the offset value is measured is indicated by
this normal vector if Offset is positive, or is the
inverse sense if Offset is negative.
Warnings :
- The offset surface is built with a copy of the
surface S. Therefore, when S is modified the
offset surface is not modified.
- No check is made at the time of construction to
detect points on S with multiple possible normal directions.
//! Raised if S is not at least C1.
Warnings :
No check is done to verify that a unique normal direction is
defined at any point of the basis surface S.
.
Standard_EXPORT void SetBasisSurface (const Handle(Geom_Surface)&S)
 Raised if S is not at least C1.
Warnings :
No check is done to verify that a unique normal direction is
defined at any point of the basis surface S.
Exceptions
Standard_ConstructionError if the surface S is not
at least "C1" continuous.
.
Standard_EXPORT void SetOffsetValue (const Standard_Real D)
 Changes this offset surface by assigning D as the offset value.
.
Standard_EXPORT Standard_Real Offset () const
 Returns the offset value of this offset surface.
.
Standard_EXPORT Handle_Geom_Surface BasisSurface () const
 Returns the basis surface of this offset surface.
Note: The basis surface can be an offset surface.
.
Standard_EXPORT void UReverse ()
 Changes the orientation of this offset surface in the u
parametric direction. The bounds of the surface
are not changed but the given parametric direction is reversed.
.
Standard_EXPORT Standard_Real UReversedParameter (const Standard_Real U) const
 Computes the u parameter on the modified
surface, produced by reversing the u
parametric direction of this offset surface, for any
point of u parameter U on this offset surface.
.
Standard_EXPORT void VReverse ()
 Changes the orientation of this offset surface in the v parametric direction. The bounds of the surface
are not changed but the given parametric direction is reversed.
.
Standard_EXPORT Standard_Real VReversedParameter (const Standard_Real V) const
 Computes the v parameter on the modified
surface, produced by reversing the or v
parametric direction of this offset surface, for any
point of v parameter V on this offset surface.
.
Standard_EXPORT void Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const
 Returns the parametric bounds U1, U2, V1 and V2 of
this offset surface.
If the surface is infinite, this function can return:
- Standard_Real::RealFirst(), or
- Standard_Real::RealLast().
.
Standard_EXPORT GeomAbs_Shape Continuity () const
 This method returns the continuity of the basis surface - 1.
Continuity of the Offset surface :
C0 : only geometric continuity,
C1 : continuity of the first derivative all along the Surface,
C2 : continuity of the second derivative all along the Surface,
C3 : continuity of the third derivative all along the Surface,
CN : the order of continuity is infinite.
Example :
If the basis surface is C2 in the V direction and C3 in the U
direction Shape = C1.
Warnings :
If the basis surface has a unique normal direction defined at
any point this method gives the continuity of the offset
surface otherwise the effective continuity can be lower than
the continuity of the basis surface - 1.
.
Standard_EXPORT Standard_Boolean IsCNu (const Standard_Integer N) const
 This method answer True if the continuity of the basis surface
is N + 1 in the U parametric direction. We suppose in this
class that a unique normal is defined at any point on the basis
surface.
//! Raised if N <0.
.
Standard_EXPORT Standard_Boolean IsCNv (const Standard_Integer N) const
 This method answer True if the continuity of the basis surface
is N + 1 in the V parametric direction. We suppose in this
class that a unique normal is defined at any point on the basis
surface.
//! Raised if N <0.
.
Standard_EXPORT Standard_Boolean IsUClosed () const
 Checks whether this offset surface is closed in the u
parametric direction.
Returns true if, taking uFirst and uLast as
the parametric bounds in the u parametric direction,
the distance between the points P(uFirst,v)
and P(uLast,v) is less than or equal to
gp::Resolution() for each value of the parameter v.
.
Standard_EXPORT Standard_Boolean IsVClosed () const
 Checks whether this offset surface is closed in the u
or v parametric direction. Returns true if taking vFirst and vLast as the
parametric bounds in the v parametric direction, the
distance between the points P(u,vFirst) and
P(u,vLast) is less than or equal to
gp::Resolution() for each value of the parameter u.
.
Standard_EXPORT Standard_Boolean IsUPeriodic () const
 Returns true if this offset surface is periodic in the u
parametric direction, i.e. if the basis
surface of this offset surface is periodic in this direction.
.
virtual Standard_EXPORT Standard_Real UPeriod () const
 Returns the period of this offset surface in the u
parametric direction respectively, i.e. the period of the
basis surface of this offset surface in this parametric direction.
//! raises if the surface is not uperiodic.
.
Standard_EXPORT Standard_Boolean IsVPeriodic () const
 Returns true if this offset surface is periodic in the v
parametric direction, i.e. if the basis
surface of this offset surface is periodic in this direction.
.
virtual Standard_EXPORT Standard_Real VPeriod () const
 Returns the period of this offset surface in the v
parametric direction respectively, i.e. the period of the
basis surface of this offset surface in this parametric direction.
//! raises if the surface is not vperiodic.
.
Standard_EXPORT Handle_Geom_Curve UIso (const Standard_Real U) const
 Computes the U isoparametric curve.
.
Standard_EXPORT Handle_Geom_Curve VIso (const Standard_Real V) const
 Computes the V isoparametric curve.
Te followings methods compute value and derivatives.

Warnings
An exception is raised if a unique normal vector is
not defined on the basis surface for the parametric
value (U,V).
No check is done at the creation time and we suppose
in this package that the offset surface can be defined
at any point.
.
Standard_EXPORT void D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const
 P (U, V) = Pbasis + Offset * Ndir where
Ndir = D1Ubasis ^ D1Vbasis / ||D1Ubasis ^ D1Vbasis|| is the
normal direction of the basis surface. Pbasis, D1Ubasis,
D1Vbasis are the point and the first derivatives on the basis
surface.
If Ndir is undefined this method computes an approched normal
direction using the following limited development :
Ndir = N0 + DNdir/DU + DNdir/DV + Eps with Eps->0 which
requires to compute the second derivatives on the basis surface.
If the normal direction cannot be approximate for this order
of derivation the exception UndefinedValue is raised.
Raised if the continuity of the basis surface is not C1.
Raised if the order of derivation required to compute the
normal direction is greater than the second order.
.
Standard_EXPORT void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
 Raised if the continuity of the basis surface is not C2.
.
Standard_EXPORT 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
 ---Purpose ;
Raised if the continuity of the basis surface is not C3.

Standard_EXPORT 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
 Raised if the continuity of the basis surface is not C4.
.
Standard_EXPORT gp_Vec DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const
 Computes the derivative of order Nu in the direction u and Nv
in the direction v.
//!---Purpose ;
Raised if the continuity of the basis surface is not CNu + 1
in the U direction and CNv + 1 in the V direction.
//! Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
The following methods compute the value and derivatives
on the offset surface and returns the derivatives on the
basis surface too.
The computation of the value and derivatives on the basis
surface are used to evaluate the offset surface.

Warnings :
The exception UndefinedValue or UndefinedDerivative is
raised if it is not possible to compute a unique offset
direction.
.
Standard_EXPORT void Value (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Pnt &Pbasis, gp_Vec &D1Ubasis, gp_Vec &D1Vbasis) const
 P (U, V) = Pbasis + Offset * Ndir where
Ndir = D1Ubasis ^ D1Vbasis / ||D1Ubasis ^ D1Vbasis|| is
the normal direction of the surface.
If Ndir is undefined this method computes an approched normal
direction using the following limited development :
Ndir = N0 + DNdir/DU + DNdir/DV + Eps with Eps->0 which
requires to compute the second derivatives on the basis surface.
If the normal direction cannot be approximate for this order
of derivation the exception UndefinedValue is raised.
Raised if the continuity of the basis surface is not C1.
Raised if the order of derivation required to compute the normal
direction is greater than the second order.
.
Standard_EXPORT void D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Pnt &Pbasis, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D1Ubasis, gp_Vec &D1Vbasis, gp_Vec &D2Ubasis, gp_Vec &D2Vbasis, gp_Vec &D2UVbasis) const
 Raised if the continuity of the basis surface is not C2.
.
Standard_EXPORT void D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Pnt &Pbasis, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D1Ubasis, gp_Vec &D1Vbasis, gp_Vec &D2Ubasis, gp_Vec &D2Vbasis, gp_Vec &D2UVbasis, gp_Vec &D3Ubasis, gp_Vec &D3Vbasis, gp_Vec &D3UUVbasis, gp_Vec &D3UVVbasis) const
 Raised if the continuity of the basis surface is not C3.
//! The following private methods
includes common part of local and global methods
of derivative evaluations.
.
Standard_EXPORT void LocalD0 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, gp_Pnt &P) const
Standard_EXPORT void LocalD1 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const
Standard_EXPORT void LocalD2 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const
Standard_EXPORT void LocalD3 (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, 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
Standard_EXPORT gp_Vec LocalDN (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, const Standard_Integer Nu, const Standard_Integer Nv) const
Standard_EXPORT void Transform (const gp_Trsf &T)
 Applies the transformation T to this offset surface.
Note: the basis surface is also modified.
.
virtual Standard_EXPORT void TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const
 Computes the parameters on the transformed surface for
the transform of the point of parameters U,V on <me>.

me->Transformed(T)->Value(U',V')

is the same point as

me->Value(U,V).Transformed(T)

Where U',V' are the new values of U,V after calling

me->TranformParameters(U,V,T)
This methods calls the basis surface method.
.
virtual Standard_EXPORT gp_GTrsf2d ParametricTransformation (const gp_Trsf &T) const
 Returns a 2d transformation used to find the new
parameters of a point on the transformed surface.

me->Transformed(T)->Value(U',V')

is the same point as

me->Value(U,V).Transformed(T)

Where U',V' are obtained by transforming U,V with
th 2d transformation returned by

me->ParametricTransformation(T)

This methods calls the basis surface method.
.
Standard_EXPORT Handle_Geom_Geometry Copy () const
 Creates a new object which is a copy of this offset surface.
.
Standard_EXPORT Handle_Geom_Surface Surface () const
 returns an equivalent surface of the offset surface
when the basis surface is a canonic surface or a
rectangular limited surface on canonic surface or if
the offset is null.

Standard_EXPORT Standard_Boolean UOsculatingSurface (const Standard_Real U, const Standard_Real V, Standard_Boolean &IsOpposite, Handle(Geom_BSplineSurface)&UOsculSurf) const
 if Standard_True, L is the local osculating surface
along U at the point U,V. It means that DL/DU is
collinear to DS/DU . If IsOpposite == Standard_True
these vectors have opposite direction.


Standard_EXPORT Standard_Boolean VOsculatingSurface (const Standard_Real U, const Standard_Real V, Standard_Boolean &IsOpposite, Handle(Geom_BSplineSurface)&VOsculSurf) const
 if Standard_True, L is the local osculating surface
along V at the point U,V.
It means that DL/DV is
collinear to DS/DV . If IsOpposite == Standard_True
these vectors have opposite direction.

Standard_EXPORT const Handle (Standard_Type)&DynamicType() const

Private Member Functions

Standard_EXPORT void SetD0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, const gp_Vec &D1U, const gp_Vec &D1V) const
Standard_EXPORT void SetD1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, const gp_Vec &d2u, const gp_Vec &d2v, const gp_Vec &d2uv) const
Standard_EXPORT void SetD2 (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 gp_Vec &d3u, const gp_Vec &d3v, const gp_Vec &d3uuv, const gp_Vec &d3uvv) const
Standard_EXPORT void SetD3 (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
Standard_EXPORT gp_Vec SetDN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv, const gp_Vec &D1U, const gp_Vec &D1V) const
 The following functions evaluates the local
derivatives on surface. Useful to manage discontinuities
on the surface.
if Side = 1 -> P = S( U+,V )
if Side = -1 -> P = S( U-,V )
else P is betveen discontinuities
can be evaluated using methods of
global evaluations P = S( U ,V )
.
Standard_EXPORT void LocateSides (const Standard_Real U, const Standard_Real V, const Standard_Integer USide, const Standard_Integer VSide, const Handle(Geom_BSplineSurface)&BSplS, const Standard_Integer NDir, 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
 This method locates U,V parameters on basis BSpline surface
and calls LocalDi or Di methods corresponding an order
of derivative and position
of UV-point relatively the surface discontinuities.
.

Private Attributes

Handle_Geom_Surface basisSurf
Handle_Geom_Surface equivSurf
Standard_Real offsetValue
Geom_OsculatingSurface myOscSurf

Constructor & Destructor Documentation

Standard_EXPORT Geom_OffsetSurface::Geom_OffsetSurface const Handle(Geom_Surface)&  S,
const Standard_Real  Offset
 


Member Function Documentation

Standard_EXPORT Handle_Geom_Surface Geom_OffsetSurface::BasisSurface  )  const
 

Standard_EXPORT void Geom_OffsetSurface::Bounds Standard_Real &  U1,
Standard_Real &  U2,
Standard_Real &  V1,
Standard_Real &  V2
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT GeomAbs_Shape Geom_OffsetSurface::Continuity  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Handle_Geom_Geometry Geom_OffsetSurface::Copy  )  const [virtual]
 

Implements Geom_Geometry.

Standard_EXPORT void Geom_OffsetSurface::D0 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::D1 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Pnt &  Pbasis,
gp_Vec &  D1U,
gp_Vec &  D1V,
gp_Vec &  D1Ubasis,
gp_Vec &  D1Vbasis,
gp_Vec &  D2Ubasis,
gp_Vec &  D2Vbasis,
gp_Vec &  D2UVbasis
const
 

Standard_EXPORT void Geom_OffsetSurface::D1 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Vec &  D1U,
gp_Vec &  D1V
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::D2 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Pnt &  Pbasis,
gp_Vec &  D1U,
gp_Vec &  D1V,
gp_Vec &  D2U,
gp_Vec &  D2V,
gp_Vec &  D2UV,
gp_Vec &  D1Ubasis,
gp_Vec &  D1Vbasis,
gp_Vec &  D2Ubasis,
gp_Vec &  D2Vbasis,
gp_Vec &  D2UVbasis,
gp_Vec &  D3Ubasis,
gp_Vec &  D3Vbasis,
gp_Vec &  D3UUVbasis,
gp_Vec &  D3UVVbasis
const
 

Standard_EXPORT void Geom_OffsetSurface::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 [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::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 [virtual]
 

Implements Geom_Surface.

Standard_EXPORT gp_Vec Geom_OffsetSurface::DN const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  Nu,
const Standard_Integer  Nv
const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT const Geom_OffsetSurface::Handle Standard_Type   )  const
 

Reimplemented from Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsCNu const Standard_Integer  N  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsCNv const Standard_Integer  N  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsUClosed  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsUPeriodic  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsVClosed  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::IsVPeriodic  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::LocalD0 const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
gp_Pnt &  P
const
 

Standard_EXPORT void Geom_OffsetSurface::LocalD1 const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
gp_Pnt &  P,
gp_Vec &  D1U,
gp_Vec &  D1V
const
 

Standard_EXPORT void Geom_OffsetSurface::LocalD2 const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
gp_Pnt &  P,
gp_Vec &  D1U,
gp_Vec &  D1V,
gp_Vec &  D2U,
gp_Vec &  D2V,
gp_Vec &  D2UV
const
 

Standard_EXPORT void Geom_OffsetSurface::LocalD3 const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
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
 

Standard_EXPORT gp_Vec Geom_OffsetSurface::LocalDN const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
const Standard_Integer  Nu,
const Standard_Integer  Nv
const
 

Standard_EXPORT void Geom_OffsetSurface::LocateSides const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  USide,
const Standard_Integer  VSide,
const Handle(Geom_BSplineSurface)&  BSplS,
const Standard_Integer  NDir,
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 [private]
 

Standard_EXPORT Standard_Real Geom_OffsetSurface::Offset  )  const
 

virtual Standard_EXPORT gp_GTrsf2d Geom_OffsetSurface::ParametricTransformation const gp_Trsf &  T  )  const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::SetBasisSurface const Handle(Geom_Surface)&  S  ) 
 

Standard_EXPORT void Geom_OffsetSurface::SetD0 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
const gp_Vec &  D1U,
const gp_Vec &  D1V
const [private]
 

Standard_EXPORT void Geom_OffsetSurface::SetD1 const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Vec &  D1U,
gp_Vec &  D1V,
const gp_Vec &  d2u,
const gp_Vec &  d2v,
const gp_Vec &  d2uv
const [private]
 

Standard_EXPORT void Geom_OffsetSurface::SetD2 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 gp_Vec &  d3u,
const gp_Vec &  d3v,
const gp_Vec &  d3uuv,
const gp_Vec &  d3uvv
const [private]
 

Standard_EXPORT void Geom_OffsetSurface::SetD3 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 [private]
 

Standard_EXPORT gp_Vec Geom_OffsetSurface::SetDN const Standard_Real  U,
const Standard_Real  V,
const Standard_Integer  Nu,
const Standard_Integer  Nv,
const gp_Vec &  D1U,
const gp_Vec &  D1V
const [private]
 

Standard_EXPORT void Geom_OffsetSurface::SetOffsetValue const Standard_Real  D  ) 
 

Standard_EXPORT Handle_Geom_Surface Geom_OffsetSurface::Surface  )  const
 

Standard_EXPORT void Geom_OffsetSurface::Transform const gp_Trsf &  T  )  [virtual]
 

Implements Geom_Geometry.

virtual Standard_EXPORT void Geom_OffsetSurface::TransformParameters Standard_Real &  U,
Standard_Real &  V,
const gp_Trsf &  T
const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT Handle_Geom_Curve Geom_OffsetSurface::UIso const Standard_Real  U  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::UOsculatingSurface const Standard_Real  U,
const Standard_Real  V,
Standard_Boolean &  IsOpposite,
Handle(Geom_BSplineSurface)&  UOsculSurf
const
 

virtual Standard_EXPORT Standard_Real Geom_OffsetSurface::UPeriod  )  const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::UReverse  )  [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Real Geom_OffsetSurface::UReversedParameter const Standard_Real  U  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::Value const Standard_Real  U,
const Standard_Real  V,
gp_Pnt &  P,
gp_Pnt &  Pbasis,
gp_Vec &  D1Ubasis,
gp_Vec &  D1Vbasis
const
 

Standard_EXPORT Handle_Geom_Curve Geom_OffsetSurface::VIso const Standard_Real  V  )  const [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Boolean Geom_OffsetSurface::VOsculatingSurface const Standard_Real  U,
const Standard_Real  V,
Standard_Boolean &  IsOpposite,
Handle(Geom_BSplineSurface)&  VOsculSurf
const
 

virtual Standard_EXPORT Standard_Real Geom_OffsetSurface::VPeriod  )  const [virtual]
 

Reimplemented from Geom_Surface.

Standard_EXPORT void Geom_OffsetSurface::VReverse  )  [virtual]
 

Implements Geom_Surface.

Standard_EXPORT Standard_Real Geom_OffsetSurface::VReversedParameter const Standard_Real  V  )  const [virtual]
 

Implements Geom_Surface.


Field Documentation

Handle_Geom_Surface Geom_OffsetSurface::basisSurf [private]
 

Handle_Geom_Surface Geom_OffsetSurface::equivSurf [private]
 

Geom_OsculatingSurface Geom_OffsetSurface::myOscSurf [private]
 

Standard_Real Geom_OffsetSurface::offsetValue [private]
 


The documentation for this class was generated from the following file:
Generated on Mon Aug 25 13:22:56 2008 for OpenCASCADE by  doxygen 1.4.1