import OCP.PLib from typing import * from typing import Iterable as iterable from typing import Iterator as iterator from numpy import float64 _Shape = Tuple[int, ...] import OCP.TColStd import OCP.Standard import OCP.TColgp import OCP.math import OCP.GeomAbs __all__ = [ "PLib", "PLib_Base", "PLib_DoubleJacobiPolynomial", "PLib_HermitJacobi", "PLib_JacobiPolynomial" ] class PLib(): """ PLib means Polynomial functions library. This pk provides basic computation functions for polynomial functions. Note: weight arrays can be passed by pointer for some functions so that NULL pointer is valid. That means no weights passed. """ @staticmethod def Bin_s(N : int,P : int) -> float: """ Returns the Binomial Cnp. N should be <= BSplCLib::MaxDegree(). """ @staticmethod @overload def CoefficientsPoles_s(dim : int,Coefs : OCP.TColStd.TColStd_Array1OfReal,WCoefs : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColStd.TColStd_Array1OfReal,WPoles : OCP.TColStd.TColStd_Array1OfReal) -> None: """ None None None None None """ @staticmethod @overload def CoefficientsPoles_s(Coefs : OCP.TColgp.TColgp_Array1OfPnt,WCoefs : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt,WPoles : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def CoefficientsPoles_s(Coefs : OCP.TColStd.TColStd_Array1OfReal,WCoefs : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColStd.TColStd_Array1OfReal,WPoles : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def CoefficientsPoles_s(Coefs : OCP.TColgp.TColgp_Array1OfPnt2d,WCoefs : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt2d,WPoles : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def CoefficientsPoles_s(Coefs : OCP.TColgp.TColgp_Array2OfPnt,WCoefs : OCP.TColStd.TColStd_Array2OfReal,Poles : OCP.TColgp.TColgp_Array2OfPnt,WPoles : OCP.TColStd.TColStd_Array2OfReal) -> None: ... @staticmethod def ConstraintOrder_s(NivConstr : int) -> OCP.GeomAbs.GeomAbs_Shape: """ translates from Integer to GeomAbs_Shape """ @staticmethod def EvalCubicHermite_s(U : float,DerivativeOrder : int,Dimension : int,ValueArray : float,DerivativeArray : float,ParameterArray : float,Results : float) -> int: """ Performs the Cubic Hermite Interpolation of given series of points with given parameters with the requested derivative order. ValueArray stores the value at the first and last parameter. It has the following format : Derivative array stores the value of the derivatives at the first parameter and at the last parameter in the following format first param last param """ @staticmethod def EvalLagrange_s(U : float,DerivativeOrder : int,Degree : int,Dimension : int,ValueArray : float,ParameterArray : float,Results : float) -> int: """ Performs the Lagrange Interpolation of given series of points with given parameters with the requested derivative order Results will store things in the following format with d = DerivativeOrder """ @staticmethod @overload def EvalLength_s(Degree : int,Dimension : int,U1 : float,U2 : float) -> tuple[float, float]: """ None None """ @staticmethod @overload def EvalLength_s(Degree : int,Dimension : int,U1 : float,U2 : float,Tol : float) -> tuple[float, float, float]: ... @staticmethod def EvalPoly2Var_s(U : float,V : float,UDerivativeOrder : int,VDerivativeOrder : int,UDegree : int,VDegree : int,Dimension : int) -> tuple[float, float]: """ Applies EvalPolynomial twice to evaluate the derivative of orders UDerivativeOrder in U, VDerivativeOrder in V at parameters U,V """ @staticmethod def EvalPolynomial_s(U : float,DerivativeOrder : int,Degree : int,Dimension : int) -> tuple[float, float]: """ Performs Horner method with synthetic division for derivatives parameter , with and . PolynomialCoeff are stored in the following fashion """ @staticmethod @overload def GetPoles_s(FP : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt,Weights : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Get from FP the coordinates of the poles. Get from FP the coordinates of the poles. Get from FP the coordinates of the poles. Get from FP the coordinates of the poles. """ @staticmethod @overload def GetPoles_s(FP : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt2d,Weights : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def GetPoles_s(FP : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt2d) -> None: ... @staticmethod @overload def GetPoles_s(FP : OCP.TColStd.TColStd_Array1OfReal,Poles : OCP.TColgp.TColgp_Array1OfPnt) -> None: ... @staticmethod def HermiteCoefficients_s(FirstParameter : float,LastParameter : float,FirstOrder : int,LastOrder : int,MatrixCoefs : OCP.math.math_Matrix) -> bool: """ This build the coefficient of Hermite's polynomes on [FirstParameter, LastParameter] """ @staticmethod def HermiteInterpolate_s(Dimension : int,FirstParameter : float,LastParameter : float,FirstOrder : int,LastOrder : int,FirstConstr : OCP.TColStd.TColStd_Array2OfReal,LastConstr : OCP.TColStd.TColStd_Array2OfReal,Coefficients : OCP.TColStd.TColStd_Array1OfReal) -> bool: """ Compute the coefficients in the canonical base of the polynomial satisfying the given constraints at the given parameters The array FirstContr(i,j) i=1,Dimension j=0,FirstOrder contains the values of the constraint at parameter FirstParameter idem for LastConstr """ @staticmethod def JacobiParameters_s(ConstraintOrder : OCP.GeomAbs.GeomAbs_Shape,MaxDegree : int,Code : int) -> tuple[int, int]: """ Compute the number of points used for integral computations (NbGaussPoints) and the degree of Jacobi Polynomial (WorkDegree). ConstraintOrder has to be GeomAbs_C0, GeomAbs_C1 or GeomAbs_C2 Code: Code d' init. des parametres de discretisation. = -5 = -4 = -3 = -2 = -1 = 1 calcul rapide avec precision moyenne. = 2 calcul rapide avec meilleure precision. = 3 calcul un peu plus lent avec bonne precision. = 4 calcul lent avec la meilleure precision possible. """ @staticmethod def NivConstr_s(ConstraintOrder : OCP.GeomAbs.GeomAbs_Shape) -> int: """ translates from GeomAbs_Shape to Integer """ @staticmethod def NoDerivativeEvalPolynomial_s(U : float,Degree : int,Dimension : int,DegreeDimension : int) -> tuple[float, float]: """ Same as above with DerivativeOrder = 0; """ @staticmethod def NoWeights2_s() -> OCP.TColStd.TColStd_Array2OfReal: """ Used as argument for a non rational functions """ @staticmethod def NoWeights_s() -> OCP.TColStd.TColStd_Array1OfReal: """ Used as argument for a non rational functions """ @staticmethod def RationalDerivative_s(Degree : int,N : int,Dimension : int,All : bool=True) -> tuple[float, float]: """ Computes the derivatives of a ratio at order in dimension . """ @staticmethod def RationalDerivatives_s(DerivativesRequest : int,Dimension : int) -> tuple[float, float, float]: """ Computes DerivativesRequest derivatives of a ratio at of a BSpline function of degree dimension . """ @staticmethod @overload def SetPoles_s(Poles : OCP.TColgp.TColgp_Array1OfPnt2d,FP : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Copy in FP the coordinates of the poles. Copy in FP the coordinates of the poles. Copy in FP the coordinates of the poles. Copy in FP the coordinates of the poles. """ @staticmethod @overload def SetPoles_s(Poles : OCP.TColgp.TColgp_Array1OfPnt2d,Weights : OCP.TColStd.TColStd_Array1OfReal,FP : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def SetPoles_s(Poles : OCP.TColgp.TColgp_Array1OfPnt,FP : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def SetPoles_s(Poles : OCP.TColgp.TColgp_Array1OfPnt,Weights : OCP.TColStd.TColStd_Array1OfReal,FP : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def Trimming_s(U1 : float,U2 : float,dim : int,Coeffs : OCP.TColStd.TColStd_Array1OfReal,WCoeffs : OCP.TColStd.TColStd_Array1OfReal) -> None: """ None None None None """ @staticmethod @overload def Trimming_s(U1 : float,U2 : float,Coeffs : OCP.TColStd.TColStd_Array1OfReal,WCoeffs : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def Trimming_s(U1 : float,U2 : float,Coeffs : OCP.TColgp.TColgp_Array1OfPnt,WCoeffs : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod @overload def Trimming_s(U1 : float,U2 : float,Coeffs : OCP.TColgp.TColgp_Array1OfPnt2d,WCoeffs : OCP.TColStd.TColStd_Array1OfReal) -> None: ... @staticmethod def UTrimming_s(U1 : float,U2 : float,Coeffs : OCP.TColgp.TColgp_Array2OfPnt,WCoeffs : OCP.TColStd.TColStd_Array2OfReal) -> None: """ None """ @staticmethod def VTrimming_s(V1 : float,V2 : float,Coeffs : OCP.TColgp.TColgp_Array2OfPnt,WCoeffs : OCP.TColStd.TColStd_Array2OfReal) -> None: """ None """ def __init__(self) -> None: ... pass class PLib_Base(OCP.Standard.Standard_Transient): """ To work with different polynomial's BasesTo work with different polynomial's BasesTo work with different polynomial's Bases """ def D0(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values of the basis functions in u """ def D1(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D2(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D3(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal,BasisD3 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def DecrementRefCounter(self) -> int: """ Decrements the reference counter of this object; returns the decremented value """ def Delete(self) -> None: """ Memory deallocator for transient classes """ def DynamicType(self) -> OCP.Standard.Standard_Type: """ None """ def GetRefCount(self) -> int: """ Get the reference counter of this object """ def IncrementRefCounter(self) -> None: """ Increments the reference counter of this object """ @overload def IsInstance(self,theType : OCP.Standard.Standard_Type) -> bool: """ Returns a true value if this is an instance of Type. Returns a true value if this is an instance of TypeName. """ @overload def IsInstance(self,theTypeName : str) -> bool: ... @overload def IsKind(self,theTypeName : str) -> bool: """ 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. 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. """ @overload def IsKind(self,theType : OCP.Standard.Standard_Type) -> bool: ... def ReduceDegree(self,Dimension : int,MaxDegree : int,Tol : float) -> tuple[float, int, float]: """ Compute NewDegree <= MaxDegree so that MaxError is lower than Tol. MaxError can be greater than Tol if it is not possible to find a NewDegree <= MaxDegree. In this case NewDegree = MaxDegree """ def This(self) -> OCP.Standard.Standard_Transient: """ 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. """ def ToCoefficients(self,Dimension : int,Degree : int,CoeffinBase : OCP.TColStd.TColStd_Array1OfReal,Coefficients : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Convert the polynomial P(t) in the canonical base. """ def WorkDegree(self) -> int: """ returns WorkDegree """ @staticmethod def get_type_descriptor_s() -> OCP.Standard.Standard_Type: """ None """ @staticmethod def get_type_name_s() -> str: """ None """ pass class PLib_DoubleJacobiPolynomial(): """ None """ def AverageError(self,Dimension : int,DegreeU : int,DegreeV : int,dJacCoeff : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal) -> float: """ None """ def MaxError(self,Dimension : int,MinDegreeU : int,MaxDegreeU : int,MinDegreeV : int,MaxDegreeV : int,dJacCoeff : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal,Error : float) -> float: """ None """ def MaxErrorU(self,Dimension : int,DegreeU : int,DegreeV : int,dJacCoeff : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal) -> float: """ None """ def MaxErrorV(self,Dimension : int,DegreeU : int,DegreeV : int,dJacCoeff : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal) -> float: """ None """ def ReduceDegree(self,Dimension : int,MinDegreeU : int,MaxDegreeU : int,MinDegreeV : int,MaxDegreeV : int,dJacCoeff : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal,EpmsCut : float) -> tuple[float, int, int]: """ None """ def TabMaxU(self) -> OCP.TColStd.TColStd_HArray1OfReal: """ returns myTabMaxU; returns myTabMaxU; """ def TabMaxV(self) -> OCP.TColStd.TColStd_HArray1OfReal: """ returns myTabMaxV; returns myTabMaxV; """ def U(self) -> PLib_JacobiPolynomial: """ returns myJacPolU; returns myJacPolU; """ def V(self) -> PLib_JacobiPolynomial: """ returns myJacPolV; returns myJacPolV; """ def WDoubleJacobiToCoefficients(self,Dimension : int,DegreeU : int,DegreeV : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal,Coefficients : OCP.TColStd.TColStd_Array1OfReal) -> None: """ None """ @overload def __init__(self) -> None: ... @overload def __init__(self,JacPolU : PLib_JacobiPolynomial,JacPolV : PLib_JacobiPolynomial) -> None: ... pass class PLib_HermitJacobi(PLib_Base, OCP.Standard.Standard_Transient): """ This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = H(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow:This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = H(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow:This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = H(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow: """ def AverageError(self,Dimension : int,HermJacCoeff : float,NewDegree : int) -> float: """ None """ def D0(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values of the basis functions in u """ def D1(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D2(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D3(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal,BasisD3 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def DecrementRefCounter(self) -> int: """ Decrements the reference counter of this object; returns the decremented value """ def Delete(self) -> None: """ Memory deallocator for transient classes """ def DynamicType(self) -> OCP.Standard.Standard_Type: """ None """ def GetRefCount(self) -> int: """ Get the reference counter of this object """ def IncrementRefCounter(self) -> None: """ Increments the reference counter of this object """ @overload def IsInstance(self,theType : OCP.Standard.Standard_Type) -> bool: """ Returns a true value if this is an instance of Type. Returns a true value if this is an instance of TypeName. """ @overload def IsInstance(self,theTypeName : str) -> bool: ... @overload def IsKind(self,theTypeName : str) -> bool: """ 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. 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. """ @overload def IsKind(self,theType : OCP.Standard.Standard_Type) -> bool: ... def MaxError(self,Dimension : int,HermJacCoeff : float,NewDegree : int) -> float: """ This method computes the maximum error on the polynomial W(t) Q(t) obtained by missing the coefficients of JacCoeff from NewDegree +1 to Degree """ def NivConstr(self) -> int: """ returns NivConstr returns NivConstr """ def ReduceDegree(self,Dimension : int,MaxDegree : int,Tol : float) -> tuple[float, int, float]: """ Compute NewDegree <= MaxDegree so that MaxError is lower than Tol. MaxError can be greater than Tol if it is not possible to find a NewDegree <= MaxDegree. In this case NewDegree = MaxDegree """ def This(self) -> OCP.Standard.Standard_Transient: """ 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. """ def ToCoefficients(self,Dimension : int,Degree : int,HermJacCoeff : OCP.TColStd.TColStd_Array1OfReal,Coefficients : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Convert the polynomial P(t) = H(t) + W(t) Q(t) in the canonical base. """ def WorkDegree(self) -> int: """ returns WorkDegree returns WorkDegree """ def __init__(self,WorkDegree : int,ConstraintOrder : OCP.GeomAbs.GeomAbs_Shape) -> None: ... @staticmethod def get_type_descriptor_s() -> OCP.Standard.Standard_Type: """ None """ @staticmethod def get_type_name_s() -> str: """ None """ pass class PLib_JacobiPolynomial(PLib_Base, OCP.Standard.Standard_Transient): """ This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = R(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow:This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = R(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow:This class provides method to work with Jacobi Polynomials relatively to an order of constraint q = myWorkDegree-2*(myNivConstr+1) Jk(t) for k=0,q compose the Jacobi Polynomial base relatively to the weigth W(t) iorder is the integer value for the constraints: iorder = 0 <=> ConstraintOrder = GeomAbs_C0 iorder = 1 <=> ConstraintOrder = GeomAbs_C1 iorder = 2 <=> ConstraintOrder = GeomAbs_C2 P(t) = R(t) + W(t) * Q(t) Where W(t) = (1-t**2)**(2*iordre+2) the coefficients JacCoeff represents P(t) JacCoeff are stored as follow: """ def AverageError(self,Dimension : int,JacCoeff : float,NewDegree : int) -> float: """ None """ def D0(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values of the basis functions in u """ def D1(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D2(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def D3(self,U : float,BasisValue : OCP.TColStd.TColStd_Array1OfReal,BasisD1 : OCP.TColStd.TColStd_Array1OfReal,BasisD2 : OCP.TColStd.TColStd_Array1OfReal,BasisD3 : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Compute the values and the derivatives values of the basis functions in u """ def DecrementRefCounter(self) -> int: """ Decrements the reference counter of this object; returns the decremented value """ def Delete(self) -> None: """ Memory deallocator for transient classes """ def DynamicType(self) -> OCP.Standard.Standard_Type: """ None """ def GetRefCount(self) -> int: """ Get the reference counter of this object """ def IncrementRefCounter(self) -> None: """ Increments the reference counter of this object """ @overload def IsInstance(self,theType : OCP.Standard.Standard_Type) -> bool: """ Returns a true value if this is an instance of Type. Returns a true value if this is an instance of TypeName. """ @overload def IsInstance(self,theTypeName : str) -> bool: ... @overload def IsKind(self,theTypeName : str) -> bool: """ 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. 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. """ @overload def IsKind(self,theType : OCP.Standard.Standard_Type) -> bool: ... def MaxError(self,Dimension : int,JacCoeff : float,NewDegree : int) -> float: """ This method computes the maximum error on the polynomial W(t) Q(t) obtained by missing the coefficients of JacCoeff from NewDegree +1 to Degree """ def MaxValue(self,TabMax : OCP.TColStd.TColStd_Array1OfReal) -> None: """ this method loads for k=0,q the maximum value of abs ( W(t)*Jk(t) )for t bellonging to [-1,1] This values are loaded is the array TabMax(0,myWorkDegree-2*(myNivConst+1)) MaxValue ( me ; TabMaxPointer : in out Real ); """ def NivConstr(self) -> int: """ returns NivConstr returns NivConstr """ def Points(self,NbGaussPoints : int,TabPoints : OCP.TColStd.TColStd_Array1OfReal) -> None: """ returns the Jacobi Points for Gauss integration ie the positive values of the Legendre roots by increasing values NbGaussPoints is the number of points chosen for the integral computation. TabPoints (0,NbGaussPoints/2) TabPoints (0) is loaded only for the odd values of NbGaussPoints The possible values for NbGaussPoints are : 8, 10, 15, 20, 25, 30, 35, 40, 50, 61 NbGaussPoints must be greater than Degree """ def ReduceDegree(self,Dimension : int,MaxDegree : int,Tol : float) -> tuple[float, int, float]: """ Compute NewDegree <= MaxDegree so that MaxError is lower than Tol. MaxError can be greater than Tol if it is not possible to find a NewDegree <= MaxDegree. In this case NewDegree = MaxDegree """ def This(self) -> OCP.Standard.Standard_Transient: """ 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. """ def ToCoefficients(self,Dimension : int,Degree : int,JacCoeff : OCP.TColStd.TColStd_Array1OfReal,Coefficients : OCP.TColStd.TColStd_Array1OfReal) -> None: """ Convert the polynomial P(t) = R(t) + W(t) Q(t) in the canonical base. """ def Weights(self,NbGaussPoints : int,TabWeights : OCP.TColStd.TColStd_Array2OfReal) -> None: """ returns the Jacobi weigths for Gauss integration only for the positive values of the Legendre roots in the order they are given by the method Points NbGaussPoints is the number of points chosen for the integral computation. TabWeights (0,NbGaussPoints/2,0,Degree) TabWeights (0,.) are only loaded for the odd values of NbGaussPoints The possible values for NbGaussPoints are : 8 , 10 , 15 ,20 ,25 , 30, 35 , 40 , 50 , 61 NbGaussPoints must be greater than Degree """ def WorkDegree(self) -> int: """ returns WorkDegree returns WorkDegree """ def __init__(self,WorkDegree : int,ConstraintOrder : OCP.GeomAbs.GeomAbs_Shape) -> None: ... @staticmethod def get_type_descriptor_s() -> OCP.Standard.Standard_Type: """ None """ @staticmethod def get_type_name_s() -> str: """ None """ pass