Composite surface is represented by a grid of surfaces (patches) connected geometrically. Patches may have different parametrisation ranges, but they should be parametrised in the same manner so that parameter of each patch (u,v) can be converted to global parameter on the whole surface (U,V) with help of linear transformation: More...

#include <ShapeExtend_CompositeSurface.hxx>

Inheritance diagram for ShapeExtend_CompositeSurface:

[legend]

Public Member Functions
	ShapeExtend_CompositeSurface ()
	Empty constructor.

	ShapeExtend_CompositeSurface (const Handle< TColGeom_HArray2OfSurface > &GridSurf, const ShapeExtend_Parametrisation param=ShapeExtend_Natural)
	Initializes by a grid of surfaces (calls Init()).

	ShapeExtend_CompositeSurface (const Handle< TColGeom_HArray2OfSurface > &GridSurf, const TColStd_Array1OfReal &UJoints, const TColStd_Array1OfReal &VJoints)
	Initializes by a grid of surfaces (calls Init()).

Standard_Boolean	Init (const Handle< TColGeom_HArray2OfSurface > &GridSurf, const ShapeExtend_Parametrisation param=ShapeExtend_Natural)
	Initializes by a grid of surfaces. All the Surfaces of the grid must have geometrical connectivity as stated above. If geometrical connectivity is not satisfied, method returns False. However, class is initialized even in that case.

Standard_Boolean	Init (const Handle< TColGeom_HArray2OfSurface > &GridSurf, const TColStd_Array1OfReal &UJoints, const TColStd_Array1OfReal &VJoints)
	Initializes by a grid of surfaces with given global parametrisation defined by UJoints and VJoints arrays, each having langth equal to number of patches in corresponding direction + 1. Global joint values should be sorted in increasing order. All the Surfaces of the grid must have geometrical connectivity as stated above. If geometrical connectivity is not satisfied, method returns False. However, class is initialized even in that case.

Standard_Integer	NbUPatches () const
	Returns number of patches in U direction.

Standard_Integer	NbVPatches () const
	Returns number of patches in V direction.

const Handle< Geom_Surface > &	Patch (const Standard_Integer i, const Standard_Integer j) const
	Returns one surface patch.

const Handle< TColGeom_HArray2OfSurface > &	Patches () const
	Returns grid of surfaces.

Handle< TColStd_HArray1OfReal >	UJointValues () const
	Returns the array of U values corresponding to joint points between patches as well as to start and end points, which define global parametrisation of the surface.

Handle< TColStd_HArray1OfReal >	VJointValues () const
	Returns the array of V values corresponding to joint points between patches as well as to start and end points, which define global parametrisation of the surface.

Standard_Real	UJointValue (const Standard_Integer i) const
	Returns i-th joint value in U direction (1-st is global Umin, (NbUPatches()+1)-th is global Umax on the composite surface)

Standard_Real	VJointValue (const Standard_Integer j) const
	Returns j-th joint value in V direction (1-st is global Vmin, (NbVPatches()+1)-th is global Vmax on the composite surface)

Standard_Boolean	SetUJointValues (const TColStd_Array1OfReal &UJoints)
	Sets the array of U values corresponding to joint points, which define global parametrisation of the surface. Number of values in array should be equal to NbUPatches()+1. All the values should be sorted in increasing order. If this is not satisfied, does nothing and returns False.

Standard_Boolean	SetVJointValues (const TColStd_Array1OfReal &VJoints)
	Sets the array of V values corresponding to joint points, which define global parametrisation of the surface Number of values in array should be equal to NbVPatches()+1. All the values should be sorted in increasing order. If this is not satisfied, does nothing and returns False.

void	SetUFirstValue (const Standard_Real UFirst)
	Changes starting value for global U parametrisation (all other joint values are shifted accordingly)

void	SetVFirstValue (const Standard_Real VFirst)
	Changes starting value for global V parametrisation (all other joint values are shifted accordingly)

Standard_Integer	LocateUParameter (const Standard_Real U) const
	Returns number of col that contains given (global) parameter.

Standard_Integer	LocateVParameter (const Standard_Real V) const
	Returns number of row that contains given (global) parameter.

void	LocateUVPoint (const gp_Pnt2d &pnt, Standard_Integer &i, Standard_Integer &j) const
	Returns number of row and col of surface that contains given point.

const Handle< Geom_Surface > &	Patch (const Standard_Real U, const Standard_Real V) const
	Returns one surface patch that contains given (global) parameters.

const Handle< Geom_Surface > &	Patch (const gp_Pnt2d &pnt) const
	Returns one surface patch that contains given point.

Standard_Real	ULocalToGlobal (const Standard_Integer i, const Standard_Integer j, const Standard_Real u) const
	Converts local parameter u on patch i,j to global parameter U.

Standard_Real	VLocalToGlobal (const Standard_Integer i, const Standard_Integer j, const Standard_Real v) const
	Converts local parameter v on patch i,j to global parameter V.

gp_Pnt2d	LocalToGlobal (const Standard_Integer i, const Standard_Integer j, const gp_Pnt2d &uv) const
	Converts local parameters uv on patch i,j to global parameters UV.

Standard_Real	UGlobalToLocal (const Standard_Integer i, const Standard_Integer j, const Standard_Real U) const
	Converts global parameter U to local parameter u on patch i,j.

Standard_Real	VGlobalToLocal (const Standard_Integer i, const Standard_Integer j, const Standard_Real V) const
	Converts global parameter V to local parameter v on patch i,j.

gp_Pnt2d	GlobalToLocal (const Standard_Integer i, const Standard_Integer j, const gp_Pnt2d &UV) const
	Converts global parameters UV to local parameters uv on patch i,j.

Standard_Boolean	GlobalToLocalTransformation (const Standard_Integer i, const Standard_Integer j, Standard_Real &uFact, gp_Trsf2d &Trsf) const
	Computes transformation operator and uFactor descrinbing affine transformation required to convert global parameters on composite surface to local parameters on patch (i,j): uv = ( uFactor, 1. ) X Trsf * UV; NOTE: Thus Trsf contains shift and scale by V, scale by U is stored in uFact. Returns True if transformation is not an identity.

virtual void	Transform (const gp_Trsf &T) override
	Applies transformation to all the patches.

virtual Handle< Geom_Geometry >	Copy () const override
	Returns a copy of the surface.

virtual void	UReverse () override
	NOT IMPLEMENTED (does nothing)

virtual Standard_Real	UReversedParameter (const Standard_Real U) const override
	Returns U.

virtual void	VReverse () override
	NOT IMPLEMENTED (does nothing)

virtual Standard_Real	VReversedParameter (const Standard_Real V) const override
	Returns V.

virtual void	Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const override
	Returns the parametric bounds of grid.

virtual Standard_Boolean	IsUClosed () const override
	Returns True if grid is closed in U direction (i.e. connected with Precision::Confusion)

virtual Standard_Boolean	IsVClosed () const override
	Returns True if grid is closed in V direction (i.e. connected with Precision::Confusion)

virtual Standard_Boolean	IsUPeriodic () const override
	Returns False.

virtual Standard_Boolean	IsVPeriodic () const override
	Returns False.

virtual Handle< Geom_Curve >	UIso (const Standard_Real U) const override
	NOT IMPLEMENTED (returns Null curve)

virtual Handle< Geom_Curve >	VIso (const Standard_Real V) const override
	NOT IMPLEMENTED (returns Null curve)

virtual GeomAbs_Shape	Continuity () const override
	returns C0

virtual Standard_Boolean	IsCNu (const Standard_Integer N) const override
	returns True if N <=0

virtual Standard_Boolean	IsCNv (const Standard_Integer N) const override
	returns True if N <=0

virtual void	D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const override
	Computes the point of parameter U,V on the grid.

virtual void	D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const override
	Computes the point P and the first derivatives in the directions U and V at this point.

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 override
	Computes the point P, the first and the second derivatives in the directions U and V at this point.

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 override
	Computes the point P, the first,the second and the third derivatives in the directions U and V at this point.

virtual gp_Vec	DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const override
	Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V).

gp_Pnt	Value (const gp_Pnt2d &pnt) const
	Computes the point of parameter pnt on the grid.

void	ComputeJointValues (const ShapeExtend_Parametrisation param=ShapeExtend_Natural)
	Computes Joint values according to parameter.

Standard_Boolean	CheckConnectivity (const Standard_Real prec)
	Checks geometrical connectivity of the patches, including closedness (sets fields muUClosed and myVClosed)

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.

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.

virtual 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>.

virtual 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.

virtual Standard_Real	UPeriod () const
	Returns the period of this surface in the u parametric direction. Raises if the surface is not uperiodic.

virtual Standard_Real	VPeriod () const
	Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic.

gp_Pnt	Value (const Standard_Real U, const Standard_Real V) const
	Computes the point of parameter (U, V) on the surface.

virtual void	DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override
	Dumps the content of me into the stream.

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.

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.

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).

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.

void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value.

void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the translation.

void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2.

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.

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing.

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter.

virtual	~Standard_Transient ()
	Destructor must be virtual.

virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.

Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName.

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.

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.

Standard_Transient *	This () const
	Returns non-const 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.

Standard_Integer	GetRefCount () const noexcept
	Get the reference counter of this object.

void	IncrementRefCounter () noexcept
	Increments the reference counter of this object.

Standard_Integer	DecrementRefCounter () noexcept
	Decrements the reference counter of this object; returns the decremented value.

virtual void	Delete () const
	Memory deallocator for transient classes.

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.

Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.

static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class.

Detailed Description

Composite surface is represented by a grid of surfaces (patches) connected geometrically. Patches may have different parametrisation ranges, but they should be parametrised in the same manner so that parameter of each patch (u,v) can be converted to global parameter on the whole surface (U,V) with help of linear transformation:

for any i,j-th patch U = Ui + ( u - uijmin ) * ( Ui+1 - Ui ) / ( uijmax - uijmin ) V = Vj + ( v - vijmin ) * ( Vj+1 - Vj ) / ( vijmax - vijmin )

where

[uijmin, uijmax] * [ vijmin, vijmax] - parametric range of i,j-th patch,

Ui (i=1,..,Nu+1), Vi (j=1,..,Nv+1) - values defining global parametrisation by U and V (correspond to points between patches and bounds, (Ui,Uj) corresponds to (uijmin,vijmin) on i,j-th patch) and to (u(i-1)(j-1)max,v(i-1)(j-1)max) on (i-1),(j-1)-th patch.

Geometrical connectivity is expressed via global parameters: S[i,j](Ui+1,V) = S[i+1,j](Ui+1,V) for any i, j, V S[i,j](U,Vj+1) = S[i,j+1](U,Vj+1) for any i, j, U It is checked with Precision::Confusion() by default.

NOTE 1: This class is inherited from Geom_Surface in order to make it more easy to store and deal with it. However, it should not be passed to standard methods dealing with geometry since this type is not known to them. NOTE 2: Not all the inherited methods are implemented, and some are implemented not in the full form.

Constructor & Destructor Documentation

◆ ShapeExtend_CompositeSurface() [1/3]

ShapeExtend_CompositeSurface::ShapeExtend_CompositeSurface ( )

Empty constructor.

◆ ShapeExtend_CompositeSurface() [2/3]

ShapeExtend_CompositeSurface::ShapeExtend_CompositeSurface	(	const Handle< TColGeom_HArray2OfSurface > &	GridSurf,
		const ShapeExtend_Parametrisation	param = `ShapeExtend_Natural`
	)

Initializes by a grid of surfaces (calls Init()).

◆ ShapeExtend_CompositeSurface() [3/3]

ShapeExtend_CompositeSurface::ShapeExtend_CompositeSurface	(	const Handle< TColGeom_HArray2OfSurface > &	GridSurf,
		const TColStd_Array1OfReal &	UJoints,
		const TColStd_Array1OfReal &	VJoints
	)

Initializes by a grid of surfaces (calls Init()).

Member Function Documentation

◆ Bounds()

virtual void ShapeExtend_CompositeSurface::Bounds	(	Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	V1,
		Standard_Real &	V2
	)		const

overridevirtual

Returns the parametric bounds of grid.

gp_Pnt2d ShapeExtend_CompositeSurface::GlobalToLocal	(	const Standard_Integer	i,
		const Standard_Integer	j,
		const gp_Pnt2d &	UV
	)		const

Standard_Boolean ShapeExtend_CompositeSurface::GlobalToLocalTransformation	(	const Standard_Integer	i,
		const Standard_Integer	j,
		Standard_Real &	uFact,
		gp_Trsf2d &	Trsf
	)		const

gp_Pnt2d ShapeExtend_CompositeSurface::LocalToGlobal	(	const Standard_Integer	i,
		const Standard_Integer	j,
		const gp_Pnt2d &	uv
	)		const

void ShapeExtend_CompositeSurface::LocateUVPoint	(	const gp_Pnt2d &	pnt,
		Standard_Integer &	i,
		Standard_Integer &	j
	)		const

const Handle< Geom_Surface > & ShapeExtend_CompositeSurface::Patch	(	const Standard_Integer	i,
		const Standard_Integer	j
	)		const

const Handle< Geom_Surface > & ShapeExtend_CompositeSurface::Patch	(	const Standard_Real	U,
		const Standard_Real	V
	)		const

Standard_Real ShapeExtend_CompositeSurface::UGlobalToLocal	(	const Standard_Integer	i,
		const Standard_Integer	j,
		const Standard_Real	U
	)		const

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ShapeExtend_CompositeSurface() [1/3]

◆ ShapeExtend_CompositeSurface() [2/3]

◆ ShapeExtend_CompositeSurface() [3/3]

Member Function Documentation

◆ Bounds()

◆ CheckConnectivity()

◆ ComputeJointValues()

◆ Continuity()

◆ Copy()

◆ D0()

◆ D1()

◆ D2()

◆ D3()

◆ DN()

◆ GlobalToLocal()

◆ GlobalToLocalTransformation()

◆ Init() [1/2]

◆ Init() [2/2]

◆ IsCNu()

◆ IsCNv()

◆ IsUClosed()

◆ IsUPeriodic()

◆ IsVClosed()

◆ IsVPeriodic()

◆ LocalToGlobal()

◆ LocateUParameter()

◆ LocateUVPoint()

◆ LocateVParameter()

◆ NbUPatches()

◆ NbVPatches()

◆ Patch() [1/3]

◆ Patch() [2/3]

◆ Patch() [3/3]

◆ Patches()

◆ SetUFirstValue()

◆ SetUJointValues()

◆ SetVFirstValue()

◆ SetVJointValues()

◆ Transform()

◆ UGlobalToLocal()

◆ UIso()

◆ UJointValue()

◆ UJointValues()

◆ ULocalToGlobal()

◆ UReverse()

◆ UReversedParameter()

◆ Value()

◆ VGlobalToLocal()

◆ VIso()

◆ VJointValue()

◆ VJointValues()

◆ VLocalToGlobal()

◆ VReverse()

◆ VReversedParameter()