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Blend


Blend_Function Class Reference

Deferred class for a function used to compute a blending
surface between two surfaces, using a guide line.
The vector <x> used in Value, Values and Derivatives methods
has to be the vector of the parametric coordinates U1,V1,
U2,V2, of the extremities of a section on the first and
second surface.
.

#include <Blend_Function.hxx>

Inheritance diagram for Blend_Function:

Inheritance graph
[legend]

Public Member Functions

void * operator new (size_t, void *anAddress)
void * operator new (size_t size)
void operator delete (void *anAddress)
Standard_EXPORT Standard_Integer NbVariables () const
 Returns 4.
.
virtual Standard_EXPORT Standard_Integer NbEquations () const =0
 returns the number of equations of the function.

virtual Standard_EXPORT Standard_Boolean Value (const math_Vector &X, math_Vector &F)=0
 computes the values <f> of the Functions for the
variable <x>.
Returns True if the computation was done successfully,
False otherwise.

virtual Standard_EXPORT Standard_Boolean Derivatives (const math_Vector &X, math_Matrix &D)=0
 returns the values <d> of the derivatives for the
variable <x>.
Returns True if the computation was done successfully,
False otherwise.

virtual Standard_EXPORT Standard_Boolean Values (const math_Vector &X, math_Vector &F, math_Matrix &D)=0
 returns the values <f> of the functions and the derivatives
<d> for the variable <x>.
Returns True if the computation was done successfully,
False otherwise.

virtual Standard_EXPORT void Set (const Standard_Real Param)=0
 Sets the value of the parameter along the guide line.
This determines the plane in which the solution has
to be found.
.
virtual Standard_EXPORT void Set (const Standard_Real First, const Standard_Real Last)=0
 Sets the bounds of the parametric interval on
the guide line.
This determines the derivatives in these values if the
function is not Cn.
.
virtual Standard_EXPORT void GetTolerance (math_Vector &Tolerance, const Standard_Real Tol) const =0
 Returns in the vector Tolerance the parametric tolerance
for each of the 4 variables;
Tol is the tolerance used in 3d space.
.
virtual Standard_EXPORT void GetBounds (math_Vector &InfBound, math_Vector &SupBound) const =0
 Returns in the vector InfBound the lowest values allowed
for each of the 4 variables.
Returns in the vector SupBound the greatest values allowed
for each of the 4 variables.
.
virtual Standard_EXPORT Standard_Boolean IsSolution (const math_Vector &Sol, const Standard_Real Tol)=0
 Returns Standard_True if Sol is a zero of the function.
Tol is the tolerance used in 3d space.
The computation is made at the current value of
the parameter on the guide line.
.
Standard_EXPORT const gp_Pnt & Pnt1 () const
 Returns the point on the first support.
.
Standard_EXPORT const gp_Pnt & Pnt2 () const
 Returns the point on the seconde support.
.
virtual Standard_EXPORT const
gp_Pnt & 
PointOnS1 () const =0
 Returns the point on the first surface, at parameter
Sol(1),Sol(2) (Sol is the vector used in the call of
IsSolution.
.
virtual Standard_EXPORT const
gp_Pnt & 
PointOnS2 () const =0
 Returns the point on the second surface, at parameter
Sol(3),Sol(4) (Sol is the vector used in the call of
IsSolution.
.
virtual Standard_EXPORT Standard_Boolean IsTangencyPoint () const =0
 Returns True when it is not possible to compute
the tangent vectors at PointOnS1 and/or PointOnS2.
.
virtual Standard_EXPORT const
gp_Vec & 
TangentOnS1 () const =0
 Returns the tangent vector at PointOnS1, in 3d space.
.
virtual Standard_EXPORT const
gp_Vec2d & 
Tangent2dOnS1 () const =0
 Returns the tangent vector at PointOnS1, in the
parametric space of the first surface.
.
virtual Standard_EXPORT const
gp_Vec & 
TangentOnS2 () const =0
 Returns the tangent vector at PointOnS2, in 3d space.
.
virtual Standard_EXPORT const
gp_Vec2d & 
Tangent2dOnS2 () const =0
 Returns the tangent vector at PointOnS2, in the
parametric space of the second surface.
.
virtual Standard_EXPORT void Tangent (const Standard_Real U1, const Standard_Real V1, const Standard_Real U2, const Standard_Real V2, gp_Vec &TgFirst, gp_Vec &TgLast, gp_Vec &NormFirst, gp_Vec &NormLast) const =0
 Returns the tangent vector at the section,
at the beginning and the end of the section, and
returns the normal (of the surfaces) at
these points.
.
virtual Standard_EXPORT Standard_Boolean TwistOnS1 () const
virtual Standard_EXPORT Standard_Boolean TwistOnS2 () const
virtual Standard_EXPORT void GetShape (Standard_Integer &NbPoles, Standard_Integer &NbKnots, Standard_Integer &Degree, Standard_Integer &NbPoles2d)=0
virtual Standard_EXPORT void GetTolerance (const Standard_Real BoundTol, const Standard_Real SurfTol, const Standard_Real AngleTol, math_Vector &Tol3d, math_Vector &Tol1D) const =0
 Returns the tolerance to reach in approximation
to respecte
BoundTol error at the Boundary
AngleTol tangent error at the Boundary
SurfTol error inside the surface.
.
virtual Standard_EXPORT void Knots (TColStd_Array1OfReal &TKnots)=0
virtual Standard_EXPORT void Mults (TColStd_Array1OfInteger &TMults)=0
virtual Standard_EXPORT Standard_Boolean Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfVec &DPoles, TColgp_Array1OfPnt2d &Poles2d, TColgp_Array1OfVec2d &DPoles2d, TColStd_Array1OfReal &Weigths, TColStd_Array1OfReal &DWeigths)=0
 Used for the first and last section
The method returns Standard_True if the derivatives
are computed, otherwise it returns Standard_False.
.
virtual Standard_EXPORT void Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths)=0
virtual Standard_EXPORT Standard_Boolean Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfVec &DPoles, TColgp_Array1OfVec &D2Poles, TColgp_Array1OfPnt2d &Poles2d, TColgp_Array1OfVec2d &DPoles2d, TColgp_Array1OfVec2d &D2Poles2d, TColStd_Array1OfReal &Weigths, TColStd_Array1OfReal &DWeigths, TColStd_Array1OfReal &D2Weigths)
 Used for the first and last section
The method returns Standard_True if the derivatives
are computed, otherwise it returns Standard_False
.

Member Function Documentation

virtual Standard_EXPORT Standard_Boolean Blend_Function::Derivatives const math_Vector &  X,
math_Matrix &  D
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::GetBounds math_Vector &  InfBound,
math_Vector &  SupBound
const [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::GetShape Standard_Integer &  NbPoles,
Standard_Integer &  NbKnots,
Standard_Integer &  Degree,
Standard_Integer &  NbPoles2d
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::GetTolerance const Standard_Real  BoundTol,
const Standard_Real  SurfTol,
const Standard_Real  AngleTol,
math_Vector &  Tol3d,
math_Vector &  Tol1D
const [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::GetTolerance math_Vector &  Tolerance,
const Standard_Real  Tol
const [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::IsSolution const math_Vector &  Sol,
const Standard_Real  Tol
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::IsTangencyPoint  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Knots TColStd_Array1OfReal &  TKnots  )  [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Mults TColStd_Array1OfInteger &  TMults  )  [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Integer Blend_Function::NbEquations  )  const [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

Standard_EXPORT Standard_Integer Blend_Function::NbVariables  )  const [virtual]
 

Implements Blend_AppFunction.

void Blend_Function::operator delete void *  anAddress  )  [inline]
 

Reimplemented from Blend_AppFunction.

Reimplemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

void* Blend_Function::operator new size_t  size  )  [inline]
 

Reimplemented from Blend_AppFunction.

Reimplemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

void* Blend_Function::operator new size_t  ,
void *  anAddress
[inline]
 

Reimplemented from Blend_AppFunction.

Reimplemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

Standard_EXPORT const gp_Pnt& Blend_Function::Pnt1  )  const [virtual]
 

Implements Blend_AppFunction.

Standard_EXPORT const gp_Pnt& Blend_Function::Pnt2  )  const [virtual]
 

Implements Blend_AppFunction.

virtual Standard_EXPORT const gp_Pnt& Blend_Function::PointOnS1  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT const gp_Pnt& Blend_Function::PointOnS2  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::Section const Blend_Point P,
TColgp_Array1OfPnt &  Poles,
TColgp_Array1OfVec &  DPoles,
TColgp_Array1OfVec &  D2Poles,
TColgp_Array1OfPnt2d &  Poles2d,
TColgp_Array1OfVec2d &  DPoles2d,
TColgp_Array1OfVec2d &  D2Poles2d,
TColStd_Array1OfReal &  Weigths,
TColStd_Array1OfReal &  DWeigths,
TColStd_Array1OfReal &  D2Weigths
[virtual]
 

Implements Blend_AppFunction.

Reimplemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Section const Blend_Point P,
TColgp_Array1OfPnt &  Poles,
TColgp_Array1OfPnt2d &  Poles2d,
TColStd_Array1OfReal &  Weigths
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::Section const Blend_Point P,
TColgp_Array1OfPnt &  Poles,
TColgp_Array1OfVec &  DPoles,
TColgp_Array1OfPnt2d &  Poles2d,
TColgp_Array1OfVec2d &  DPoles2d,
TColStd_Array1OfReal &  Weigths,
TColStd_Array1OfReal &  DWeigths
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Set const Standard_Real  First,
const Standard_Real  Last
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Set const Standard_Real  Param  )  [pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT void Blend_Function::Tangent const Standard_Real  U1,
const Standard_Real  V1,
const Standard_Real  U2,
const Standard_Real  V2,
gp_Vec &  TgFirst,
gp_Vec &  TgLast,
gp_Vec &  NormFirst,
gp_Vec &  NormLast
const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT const gp_Vec2d& Blend_Function::Tangent2dOnS1  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT const gp_Vec2d& Blend_Function::Tangent2dOnS2  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT const gp_Vec& Blend_Function::TangentOnS1  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT const gp_Vec& Blend_Function::TangentOnS2  )  const [pure virtual]
 

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::TwistOnS1  )  const [virtual]
 

Reimplemented in BRepBlend_ChAsym, BRepBlend_ConstRad, and BRepBlend_EvolRad.

virtual Standard_EXPORT Standard_Boolean Blend_Function::TwistOnS2  )  const [virtual]
 

Reimplemented in BRepBlend_ChAsym, BRepBlend_ConstRad, and BRepBlend_EvolRad.

virtual Standard_EXPORT Standard_Boolean Blend_Function::Value const math_Vector &  X,
math_Vector &  F
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.

virtual Standard_EXPORT Standard_Boolean Blend_Function::Values const math_Vector &  X,
math_Vector &  F,
math_Matrix &  D
[pure virtual]
 

Implements Blend_AppFunction.

Implemented in BRepBlend_Chamfer, BRepBlend_ChAsym, BRepBlend_ConstRad, BRepBlend_EvolRad, and BRepBlend_Ruled.


The documentation for this class was generated from the following file:
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