Open CASCADE Technology
7.5.0.beta

Describes a portion of a surface (a patch) limited by two values of the u parameter in the u parametric direction, and two values of the v parameter in the v parametric direction. The domain of the trimmed surface must be within the domain of the surface being trimmed. The trimmed surface is defined by: More...
#include <Geom_RectangularTrimmedSurface.hxx>
Public Member Functions  
Geom_RectangularTrimmedSurface (const Handle< Geom_Surface > &S, const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2, const Standard_Boolean USense=Standard_True, const Standard_Boolean VSense=Standard_True)  
The U parametric direction of the surface is oriented from U1 to U2. The V parametric direction of the surface is oriented from V1 to V2. These two directions define the orientation of the surface (normal). If the surface is not periodic USense and VSense are not used for the construction. If the surface S is periodic in one direction USense and VSense give the available part of the surface. By default in this case the surface has the same orientation as the basis surface S. The returned surface is not closed and not periodic. ConstructionError Raised if S is not periodic in the UDirection and U1 or U2 are out of the bounds of S. S is not periodic in the VDirection and V1 or V2 are out of the bounds of S. U1 = U2 or V1 = V2. More...  
Geom_RectangularTrimmedSurface (const Handle< Geom_Surface > &S, const Standard_Real Param1, const Standard_Real Param2, const Standard_Boolean UTrim, const Standard_Boolean Sense=Standard_True)  
The basis surface S is only trim in one parametric direction. If UTrim = True the surface is trimmed in the U parametric direction else the surface is trimmed in the V parametric direction. In the considered parametric direction the resulting surface is oriented from Param1 to Param2. If S is periodic Sense gives the available part of the surface. By default the trimmed surface has the same orientation as the basis surface S in the considered parametric direction (Sense = True). If the basis surface S is closed or periodic in the parametric direction opposite to the trimming direction the trimmed surface has the same characteristics as the surface S in this direction. Warnings : In this package the entities are not shared. The RectangularTrimmedSurface is built with a copy of the surface S. So when S is modified the RectangularTrimmedSurface is not modified Raised if S is not periodic in the considered parametric direction and Param1 or Param2 are out of the bounds of S. Param1 = Param2. More...  
void  SetTrim (const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2, const Standard_Boolean USense=Standard_True, const Standard_Boolean VSense=Standard_True) 
Modifies this patch by changing the trim values applied to the original surface The u parametric direction of this patch is oriented from U1 to U2. The v parametric direction of this patch is oriented from V1 to V2. USense and VSense are used for the construction only if the surface is periodic in the corresponding parametric direction, and define the available part of the surface; by default in this case, this patch has the same orientation as the basis surface. Raised if The BasisSurface is not periodic in the UDirection and U1 or U2 are out of the bounds of the BasisSurface. The BasisSurface is not periodic in the VDirection and V1 or V2 are out of the bounds of the BasisSurface. U1 = U2 or V1 = V2. More...  
void  SetTrim (const Standard_Real Param1, const Standard_Real Param2, const Standard_Boolean UTrim, const Standard_Boolean Sense=Standard_True) 
Modifies this patch by changing the trim values applied to the original surface The basis surface is trimmed only in one parametric direction: if UTrim is true, the surface is trimmed in the u parametric direction; if it is false, it is trimmed in the v parametric direction. In the "trimmed" direction, this patch is oriented from Param1 to Param2. If the basis surface is periodic in the "trimmed" direction, Sense defines its available part. By default in this case, this patch has the same orientation as the basis surface in this parametric direction. If the basis surface is closed or periodic in the other parametric direction (i.e. not the "trimmed" direction), this patch has the same characteristics as the basis surface in that parametric direction. Raised if The BasisSurface is not periodic in the considered direction and Param1 or Param2 are out of the bounds of the BasisSurface. Param1 = Param2. More...  
Handle< Geom_Surface >  BasisSurface () const 
Returns the Basis surface of <me>. More...  
void  UReverse () override 
Changes the orientation of this patch in the u parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence the orientation of the surface is reversed. More...  
Standard_Real  UReversedParameter (const Standard_Real U) const override 
Computes the u parameter on the modified surface, produced by when reversing its u parametric direction, for any point of u parameter U on this patch. More...  
void  VReverse () override 
Changes the orientation of this patch in the v parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence the orientation of the surface is reversed. More...  
Standard_Real  VReversedParameter (const Standard_Real V) const override 
Computes the v parameter on the modified surface, produced by when reversing its v parametric direction, for any point of v parameter V on this patch. More...  
void  Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const override 
Returns the parametric bounds U1, U2, V1 and V2 of this patch. More...  
GeomAbs_Shape  Continuity () const override 
Returns the continuity of the 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. More...  
Standard_Boolean  IsUClosed () const override 
Returns true if this patch is closed in the given parametric direction. More...  
Standard_Boolean  IsVClosed () const override 
Returns true if this patch is closed in the given parametric direction. More...  
Standard_Boolean  IsCNu (const Standard_Integer N) const override 
Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0. More...  
Standard_Boolean  IsCNv (const Standard_Integer N) const override 
Returns true if the order of derivation in the V parametric direction is N. Raised if N < 0. More...  
Standard_Boolean  IsUPeriodic () const override 
Returns true if this patch is periodic and not trimmed in the given parametric direction. More...  
virtual Standard_Real  UPeriod () const override 
Returns the period of this patch in the u parametric direction. raises if the surface is not uperiodic. More...  
Standard_Boolean  IsVPeriodic () const override 
Returns true if this patch is periodic and not trimmed in the given parametric direction. More...  
virtual Standard_Real  VPeriod () const override 
Returns the period of this patch in the v parametric direction. raises if the surface is not vperiodic. value and derivatives. More...  
Handle< Geom_Curve >  UIso (const Standard_Real U) const override 
computes the U isoparametric curve. More...  
Handle< Geom_Curve >  VIso (const Standard_Real V) const override 
Computes the V isoparametric curve. More...  
void  D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const override 
Can be raised if the basis surface is an OffsetSurface. More...  
void  D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const override 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not C1. More...  
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 override 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not C2. More...  
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 override 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning UndefinedDerivative raised if the continuity of the surface is not C3. More...  
gp_Vec  DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const override 
The returned derivative has the same orientation as the derivative of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not CNu in the U parametric direction and CNv in the V parametric direction. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. More...  
void  Transform (const gp_Trsf &T) override 
Applies the transformation T to this patch. Warning As a consequence, the basis surface included in the data structure of this patch is also modified. More...  
virtual void  TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const override 
Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. More...  
virtual gp_GTrsf2d  ParametricTransformation (const gp_Trsf &T) const override 
Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More...  
Handle< Geom_Geometry >  Copy () const override 
Creates a new object which is a copy of this patch. More...  
virtual void  DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=1) const override 
Dumps the content of me into the stream. More...  
Public Member Functions inherited from Geom_Surface  
Handle< Geom_Surface >  UReversed () const 
Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...  
Handle< Geom_Surface >  VReversed () const 
Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More...  
gp_Pnt  Value (const Standard_Real U, const Standard_Real V) const 
Computes the point of parameter U on the surface. More...  
Public Member Functions inherited from Geom_Geometry  
void  Mirror (const gp_Pnt &P) 
Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...  
void  Mirror (const gp_Ax1 &A1) 
Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...  
void  Mirror (const gp_Ax2 &A2) 
Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...  
void  Rotate (const gp_Ax1 &A1, const Standard_Real Ang) 
Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...  
void  Scale (const gp_Pnt &P, const Standard_Real S) 
Scales a Geometry. S is the scaling value. More...  
void  Translate (const gp_Vec &V) 
Translates a Geometry. V is the vector of the tanslation. More...  
void  Translate (const gp_Pnt &P1, const gp_Pnt &P2) 
Translates a Geometry from the point P1 to the point P2. More...  
Handle< Geom_Geometry >  Mirrored (const gp_Pnt &P) const 
Handle< Geom_Geometry >  Mirrored (const gp_Ax1 &A1) const 
Handle< Geom_Geometry >  Mirrored (const gp_Ax2 &A2) const 
Handle< Geom_Geometry >  Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const 
Handle< Geom_Geometry >  Scaled (const gp_Pnt &P, const Standard_Real S) const 
Handle< Geom_Geometry >  Transformed (const gp_Trsf &T) const 
Handle< Geom_Geometry >  Translated (const gp_Vec &V) const 
Handle< Geom_Geometry >  Translated (const gp_Pnt &P1, const gp_Pnt &P2) const 
Public Member Functions inherited from Standard_Transient  
Standard_Transient ()  
Empty constructor. More...  
Standard_Transient (const Standard_Transient &)  
Copy constructor – does nothing. More...  
Standard_Transient &  operator= (const Standard_Transient &) 
Assignment operator, needed to avoid copying reference counter. More...  
virtual  ~Standard_Transient () 
Destructor must be virtual. More...  
virtual void  Delete () const 
Memory deallocator for transient classes. More...  
virtual const opencascade::handle< Standard_Type > &  DynamicType () const 
Returns a type descriptor about this object. More...  
Standard_Boolean  IsInstance (const opencascade::handle< Standard_Type > &theType) const 
Returns a true value if this is an instance of Type. More...  
Standard_Boolean  IsInstance (const Standard_CString theTypeName) const 
Returns a true value if this is an instance of TypeName. More...  
Standard_Boolean  IsKind (const opencascade::handle< Standard_Type > &theType) const 
Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...  
Standard_Boolean  IsKind (const Standard_CString theTypeName) const 
Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...  
Standard_Transient *  This () const 
Returns nonconst pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...  
Standard_Integer  GetRefCount () const 
Get the reference counter of this object. More...  
void  IncrementRefCounter () const 
Increments the reference counter of this object. More...  
Standard_Integer  DecrementRefCounter () const 
Decrements the reference counter of this object; returns the decremented value. More...  
Additional Inherited Members  
Public Types inherited from Standard_Transient  
typedef void  base_type 
Returns a type descriptor about this object. More...  
Static Public Member Functions inherited from Standard_Transient  
static const char *  get_type_name () 
Returns a type descriptor about this object. More...  
static const opencascade::handle< Standard_Type > &  get_type_descriptor () 
Returns type descriptor of Standard_Transient class. More...  
Describes a portion of a surface (a patch) limited by two values of the u parameter in the u parametric direction, and two values of the v parameter in the v parametric direction. The domain of the trimmed surface must be within the domain of the surface being trimmed. The trimmed surface is defined by:
Geom_RectangularTrimmedSurface::Geom_RectangularTrimmedSurface  (  const Handle< Geom_Surface > &  S, 
const Standard_Real  U1,  
const Standard_Real  U2,  
const Standard_Real  V1,  
const Standard_Real  V2,  
const Standard_Boolean  USense = Standard_True , 

const Standard_Boolean  VSense = Standard_True 

) 
The U parametric direction of the surface is oriented from U1 to U2. The V parametric direction of the surface is oriented from V1 to V2. These two directions define the orientation of the surface (normal). If the surface is not periodic USense and VSense are not used for the construction. If the surface S is periodic in one direction USense and VSense give the available part of the surface. By default in this case the surface has the same orientation as the basis surface S. The returned surface is not closed and not periodic. ConstructionError Raised if S is not periodic in the UDirection and U1 or U2 are out of the bounds of S. S is not periodic in the VDirection and V1 or V2 are out of the bounds of S. U1 = U2 or V1 = V2.
Geom_RectangularTrimmedSurface::Geom_RectangularTrimmedSurface  (  const Handle< Geom_Surface > &  S, 
const Standard_Real  Param1,  
const Standard_Real  Param2,  
const Standard_Boolean  UTrim,  
const Standard_Boolean  Sense = Standard_True 

) 
The basis surface S is only trim in one parametric direction. If UTrim = True the surface is trimmed in the U parametric direction else the surface is trimmed in the V parametric direction. In the considered parametric direction the resulting surface is oriented from Param1 to Param2. If S is periodic Sense gives the available part of the surface. By default the trimmed surface has the same orientation as the basis surface S in the considered parametric direction (Sense = True). If the basis surface S is closed or periodic in the parametric direction opposite to the trimming direction the trimmed surface has the same characteristics as the surface S in this direction. Warnings : In this package the entities are not shared. The RectangularTrimmedSurface is built with a copy of the surface S. So when S is modified the RectangularTrimmedSurface is not modified Raised if S is not periodic in the considered parametric direction and Param1 or Param2 are out of the bounds of S. Param1 = Param2.
Handle< Geom_Surface > Geom_RectangularTrimmedSurface::BasisSurface  (  )  const 
Returns the Basis surface of <me>.

overridevirtual 
Returns the parametric bounds U1, U2, V1 and V2 of this patch.
Implements Geom_Surface.

overridevirtual 
Returns the continuity of the 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.
Implements Geom_Surface.

overridevirtual 
Creates a new object which is a copy of this patch.
Implements Geom_Geometry.

overridevirtual 
Can be raised if the basis surface is an OffsetSurface.
Implements Geom_Surface.

overridevirtual 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not C1.
Implements Geom_Surface.

overridevirtual 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not C2.
Implements Geom_Surface.

overridevirtual 
The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Warning UndefinedDerivative raised if the continuity of the surface is not C3.
Implements Geom_Surface.

overridevirtual 
The returned derivative has the same orientation as the derivative of the basis surface even if the trimmed surface has not the same parametric orientation. Warning! UndefinedDerivative raised if the continuity of the surface is not CNu in the U parametric direction and CNv in the V parametric direction. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
Implements Geom_Surface.

overridevirtual 
Dumps the content of me into the stream.
Reimplemented from Geom_Surface.

overridevirtual 
Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0.
Implements Geom_Surface.

overridevirtual 
Returns true if the order of derivation in the V parametric direction is N. Raised if N < 0.
Implements Geom_Surface.

overridevirtual 
Returns true if this patch is closed in the given parametric direction.
Implements Geom_Surface.

overridevirtual 
Returns true if this patch is periodic and not trimmed in the given parametric direction.
Implements Geom_Surface.

overridevirtual 
Returns true if this patch is closed in the given parametric direction.
Implements Geom_Surface.

overridevirtual 
Returns true if this patch is periodic and not trimmed in the given parametric direction.
Implements Geom_Surface.

overridevirtual 
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.
Reimplemented from Geom_Surface.
void Geom_RectangularTrimmedSurface::SetTrim  (  const Standard_Real  U1, 
const Standard_Real  U2,  
const Standard_Real  V1,  
const Standard_Real  V2,  
const Standard_Boolean  USense = Standard_True , 

const Standard_Boolean  VSense = Standard_True 

) 
Modifies this patch by changing the trim values applied to the original surface The u parametric direction of this patch is oriented from U1 to U2. The v parametric direction of this patch is oriented from V1 to V2. USense and VSense are used for the construction only if the surface is periodic in the corresponding parametric direction, and define the available part of the surface; by default in this case, this patch has the same orientation as the basis surface. Raised if The BasisSurface is not periodic in the UDirection and U1 or U2 are out of the bounds of the BasisSurface. The BasisSurface is not periodic in the VDirection and V1 or V2 are out of the bounds of the BasisSurface. U1 = U2 or V1 = V2.
void Geom_RectangularTrimmedSurface::SetTrim  (  const Standard_Real  Param1, 
const Standard_Real  Param2,  
const Standard_Boolean  UTrim,  
const Standard_Boolean  Sense = Standard_True 

) 
Modifies this patch by changing the trim values applied to the original surface The basis surface is trimmed only in one parametric direction: if UTrim is true, the surface is trimmed in the u parametric direction; if it is false, it is trimmed in the v parametric direction. In the "trimmed" direction, this patch is oriented from Param1 to Param2. If the basis surface is periodic in the "trimmed" direction, Sense defines its available part. By default in this case, this patch has the same orientation as the basis surface in this parametric direction. If the basis surface is closed or periodic in the other parametric direction (i.e. not the "trimmed" direction), this patch has the same characteristics as the basis surface in that parametric direction. Raised if The BasisSurface is not periodic in the considered direction and Param1 or Param2 are out of the bounds of the BasisSurface. Param1 = Param2.

overridevirtual 
Applies the transformation T to this patch. Warning As a consequence, the basis surface included in the data structure of this patch is also modified.
Implements Geom_Geometry.

overridevirtual 
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.
Reimplemented from Geom_Surface.

overridevirtual 
computes the U isoparametric curve.
Implements Geom_Surface.

overridevirtual 
Returns the period of this patch in the u parametric direction. raises if the surface is not uperiodic.
Reimplemented from Geom_Surface.

overridevirtual 
Changes the orientation of this patch in the u parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence the orientation of the surface is reversed.
Implements Geom_Surface.

overridevirtual 
Computes the u parameter on the modified surface, produced by when reversing its u parametric direction, for any point of u parameter U on this patch.
Implements Geom_Surface.

overridevirtual 
Computes the V isoparametric curve.
Implements Geom_Surface.

overridevirtual 
Returns the period of this patch in the v parametric direction. raises if the surface is not vperiodic. value and derivatives.
Reimplemented from Geom_Surface.

overridevirtual 
Changes the orientation of this patch in the v parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence the orientation of the surface is reversed.
Implements Geom_Surface.

overridevirtual 
Computes the v parameter on the modified surface, produced by when reversing its v parametric direction, for any point of v parameter V on this patch.
Implements Geom_Surface.