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. More...
#include <Blend_AppFunction.hxx>
Public Member Functions | |
| virtual Standard_Integer | NbVariables () const =0 |
| returns the number of variables of the function. More... | |
| virtual Standard_Integer | NbEquations () const =0 |
| returns the number of equations of the function. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual 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. More... | |
| virtual Standard_Real | GetMinimalDistance () const =0 |
| Returns the minimal Distance beetween two extremitys of calculed sections. More... | |
| virtual const gp_Pnt & | Pnt1 () const =0 |
| Returns the point on the first support. More... | |
| virtual const gp_Pnt & | Pnt2 () const =0 |
| Returns the point on the first support. More... | |
| virtual Standard_Boolean | IsRational () const =0 |
| Returns if the section is rationnal. More... | |
| virtual Standard_Real | GetSectionSize () const =0 |
| Returns the length of the maximum section. More... | |
| virtual void | GetMinimalWeight (TColStd_Array1OfReal &Weigths) const =0 |
| Compute the minimal value of weight for each poles of all sections. More... | |
| virtual Standard_Integer | NbIntervals (const GeomAbs_Shape S) const =0 |
| Returns the number of intervals for continuity <S>. May be one if Continuity(me) >= <S> More... | |
| virtual void | Intervals (TColStd_Array1OfReal &T, const GeomAbs_Shape S) const =0 |
| Stores in <T> the parameters bounding the intervals of continuity <S>. More... | |
| virtual void | GetShape (Standard_Integer &NbPoles, Standard_Integer &NbKnots, Standard_Integer &Degree, Standard_Integer &NbPoles2d)=0 |
| virtual 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. More... | |
| virtual void | Knots (TColStd_Array1OfReal &TKnots)=0 |
| virtual void | Mults (TColStd_Array1OfInteger &TMults)=0 |
| virtual 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. More... | |
| virtual void | Section (const Blend_Point &P, TColgp_Array1OfPnt &Poles, TColgp_Array1OfPnt2d &Poles2d, TColStd_Array1OfReal &Weigths)=0 |
| virtual 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)=0 |
| Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False. More... | |
| virtual void | Resolution (const Standard_Integer IC2d, const Standard_Real Tol, Standard_Real &TolU, Standard_Real &TolV) const =0 |
| Standard_Real | Parameter (const Blend_Point &P) const |
| Returns the parameter of the point P. Used to impose the parameters in the approximation. More... | |
 Public Member Functions inherited from math_FunctionSet | |
| virtual Standard_Integer | GetStateNumber () |
| Returns the state of the function corresponding to the latestcall of any methods associated with the function. This function is called by each of the algorithms described later which define the function Integer Algorithm::StateNumber(). The algorithm has the responsibility to call this function when it has found a solution (i.e. a root or a minimum) and has to maintain the association between the solution found and this StateNumber. Byu default, this method returns 0 (which means for the algorithm: no state has been saved). It is the responsibility of the programmer to decide if he needs to save the current state of the function and to return an Integer that allows retrieval of the state. More... | |
| virtual | ~math_FunctionSet () |
Detailed Description
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.
Member Function Documentation
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pure virtual |
returns the values <D> of the derivatives for the variable <X>. Returns True if the computation was done successfully, False otherwise.
Implements math_FunctionSetWithDerivatives.
Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.
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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.
Implemented in BRepBlend_RstRstEvolRad, Blend_RstRstFunction, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, Blend_SurfRstFunction, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
Returns the minimal Distance beetween two extremitys of calculed sections.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
Compute the minimal value of weight for each poles of all sections.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Returns the length of the maximum section.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Returns in the vector Tolerance the parametric tolerance for each of the 4 variables; Tol is the tolerance used in 3d space.
Implemented in BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
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.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Stores in <T> the parameters bounding the intervals of continuity <S>.
The array must provide enough room to accomodate for the parameters. i.e. T.Length() > NbIntervals() raises OutOfRange from Standard
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Returns if the section is rationnal.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
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.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_CSConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
returns the number of equations of the function.
Implements math_FunctionSetWithDerivatives.
Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, BlendFunc_ChAsym, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
Returns the number of intervals for continuity <S>. May be one if Continuity(me) >= <S>
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_CSConstRad, BlendFunc_EvolRad, BlendFunc_ChAsym, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
returns the number of variables of the function.
Implements math_FunctionSetWithDerivatives.
Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.
| Standard_Real Blend_AppFunction::Parameter | ( | const Blend_Point & | P | ) | const |
Returns the parameter of the point P. Used to impose the parameters in the approximation.
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pure virtual |
Returns the point on the first support.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.
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Returns the point on the first support.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, and Blend_Function.
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pure virtual |
Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, BRepBlend_SurfRstEvolRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Chamfer, and BlendFunc_Ruled.
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pure virtual |
Implemented in Blend_SurfRstFunction, Blend_RstRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, BlendFunc_CSCircular, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_Chamfer, and BlendFunc_Ruled.
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Used for the first and last section The method returns Standard_True if the derivatives are computed, otherwise it returns Standard_False.
Implemented in Blend_RstRstFunction, Blend_SurfRstFunction, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstConstRad, BRepBlend_SurfRstEvolRad, Blend_Function, Blend_CSFunction, BlendFunc_ChAsym, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_Chamfer, BlendFunc_Ruled, BlendFunc_CSCircular, and BlendFunc_CSConstRad.
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pure virtual |
Sets the value of the parameter along the guide line. This determines the plane in which the solution has to be found.
Implemented in BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, BlendFunc_ConstRad, BlendFunc_EvolRad, Blend_CSFunction, BlendFunc_CSConstRad, Blend_Function, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
Sets the bounds of the parametric interval on the guide line. This determines the derivatives in these values if the function is not Cn.
Implemented in BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_CSCircular, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, BlendFunc_Ruled, BlendFunc_Chamfer, and BlendFunc_ChAsym.
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pure virtual |
computes the values <F> of the Functions for the variable <X>. Returns True if the computation was done successfully, False otherwise.
Implements math_FunctionSetWithDerivatives.
Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.
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pure virtual |
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.
Implements math_FunctionSetWithDerivatives.
Implemented in BlendFunc_ChAsym, BlendFunc_CSCircular, BRepBlend_RstRstEvolRad, BRepBlend_RstRstConstRad, BRepBlend_SurfRstEvolRad, BRepBlend_SurfRstConstRad, BlendFunc_ConstRad, BlendFunc_EvolRad, BlendFunc_CSConstRad, Blend_RstRstFunction, Blend_SurfRstFunction, Blend_CSFunction, Blend_Function, BlendFunc_Ruled, and BlendFunc_Chamfer.
The documentation for this class was generated from the following file:
