OCC.PLib module

class Handle_PLib_Base(*args)

Bases: OCC.MMgt.Handle_MMgt_TShared

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class Handle_PLib_HermitJacobi(*args)

Bases: OCC.PLib.Handle_PLib_Base

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class Handle_PLib_JacobiPolynomial(*args)

Bases: OCC.PLib.Handle_PLib_Base

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class PLib_Base(*args, **kwargs)

Bases: OCC.MMgt.MMgt_TShared

D0()
  • Compute the values of the basis functions in u
Parameters:
  • U (float) –
  • BasisValue (TColStd_Array1OfReal &) –
Return type:

void
D1()
  • Compute the values and the derivatives values of the basis functions in u
Parameters:
  • U (float) –
  • BasisValue (TColStd_Array1OfReal &) –
  • BasisD1 (TColStd_Array1OfReal &) –
Return type:

void
D2()
  • Compute the values and the derivatives values of the basis functions in u
Parameters:
  • U (float) –
  • BasisValue (TColStd_Array1OfReal &) –
  • BasisD1 (TColStd_Array1OfReal &) –
  • BasisD2 (TColStd_Array1OfReal &) –
Return type:

void
D3()
  • Compute the values and the derivatives values of the basis functions in u
Parameters:
  • U (float) –
  • BasisValue (TColStd_Array1OfReal &) –
  • BasisD1 (TColStd_Array1OfReal &) –
  • BasisD2 (TColStd_Array1OfReal &) –
  • BasisD3 (TColStd_Array1OfReal &) –
Return type:

void
GetHandle()
ReduceDegree()
  • 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
Parameters:
  • Dimension (int) –
  • MaxDegree (int) –
  • Tol (float) –
  • BaseCoeff (float &) –
  • NewDegree (int &) –
  • MaxError (float &) –
Return type:

void
ToCoefficients()
  • Convert the polynomial P(t) in the canonical base.
Parameters:
  • Dimension (int) –
  • Degree (int) –
  • CoeffinBase (TColStd_Array1OfReal &) –
  • Coefficients (TColStd_Array1OfReal &) –
Return type:

void
WorkDegree()
  • returns WorkDegree
Return type:int
thisown

The membership flag

class PLib_DoubleJacobiPolynomial(*args)

Bases: object

Return type:

None
Parameters:
  • JacPolU (Handle_PLib_JacobiPolynomial &) –
  • JacPolV (Handle_PLib_JacobiPolynomial &) –
Return type:

None
AverageError()
Parameters:
  • Dimension (int) –
  • DegreeU (int) –
  • DegreeV (int) –
  • dJacCoeff (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
Return type:

float
MaxError()
Parameters:
  • Dimension (int) –
  • MinDegreeU (int) –
  • MaxDegreeU (int) –
  • MinDegreeV (int) –
  • MaxDegreeV (int) –
  • dJacCoeff (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
  • Error (float) –
Return type:

float
MaxErrorU()
Parameters:
  • Dimension (int) –
  • DegreeU (int) –
  • DegreeV (int) –
  • dJacCoeff (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
Return type:

float
MaxErrorV()
Parameters:
  • Dimension (int) –
  • DegreeU (int) –
  • DegreeV (int) –
  • dJacCoeff (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
Return type:

float
ReduceDegree()
Parameters:
  • Dimension (int) –
  • MinDegreeU (int) –
  • MaxDegreeU (int) –
  • MinDegreeV (int) –
  • MaxDegreeV (int) –
  • dJacCoeff (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
  • EpmsCut (float) –
  • MaxError (float &) –
  • NewDegreeU (int &) –
  • NewDegreeV (int &) –
Return type:

None
TabMaxU()
  • returns myTabMaxU;
Return type:Handle_TColStd_HArray1OfReal
TabMaxV()
  • returns myTabMaxV;
Return type:Handle_TColStd_HArray1OfReal
U()
  • returns myJacPolU;
Return type:Handle_PLib_JacobiPolynomial
V()
  • returns myJacPolV;
Return type:Handle_PLib_JacobiPolynomial
WDoubleJacobiToCoefficients()
Parameters:
  • Dimension (int) –
  • DegreeU (int) –
  • DegreeV (int) –
  • JacCoeff (TColStd_Array1OfReal &) –
  • Coefficients (TColStd_Array1OfReal &) –
Return type:

None
thisown

The membership flag

class PLib_HermitJacobi(*args)

Bases: OCC.PLib.PLib_Base

  • Initialize the polynomial class Degree has to be <= 30 ConstraintOrder has to be GeomAbs_C0 GeomAbs_C1 GeomAbs_C2
Parameters:
  • WorkDegree (int) –
  • ConstraintOrder (GeomAbs_Shape) –
Return type:

None
AverageError()
Parameters:
  • Dimension (int) –
  • HermJacCoeff (float &) –
  • NewDegree (int) –
Return type:

float
GetHandle()
MaxError()
  • 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
Parameters:
  • Dimension (int) –
  • HermJacCoeff (float &) –
  • NewDegree (int) –
Return type:

float
NivConstr()
  • returns NivConstr
Return type:int
thisown

The membership flag

class PLib_JacobiPolynomial(*args)

Bases: OCC.PLib.PLib_Base

  • Initialize the polynomial class Degree has to be <= 30 ConstraintOrder has to be GeomAbs_C0 GeomAbs_C1 GeomAbs_C2
Parameters:
  • WorkDegree (int) –
  • ConstraintOrder (GeomAbs_Shape) –
Return type:

None
AverageError()
Parameters:
  • Dimension (int) –
  • JacCoeff (float &) –
  • NewDegree (int) –
Return type:

float
GetHandle()
MaxError()
  • 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
Parameters:
  • Dimension (int) –
  • JacCoeff (float &) –
  • NewDegree (int) –
Return type:

float
MaxValue()
  • 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 );
Parameters:TabMax (TColStd_Array1OfReal &) –
Return type:None
NivConstr()
  • returns NivConstr
Return type:int
Points()
  • returns the Jacobi Points for Gauss integration ie the positive values of the Legendre roots by increasing values NbGaussPoints is the number of points choosen 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
Parameters:
  • NbGaussPoints (int) –
  • TabPoints (TColStd_Array1OfReal &) –
Return type:

None
Weights()
  • 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 choosen 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
Parameters:
  • NbGaussPoints (int) –
  • TabWeights (TColStd_Array2OfReal &) –
Return type:

None
thisown

The membership flag

class SwigPyIterator(*args, **kwargs)

Bases: object

advance()
copy()
decr()
distance()
equal()
incr()
next()
previous()
thisown

The membership flag

value()
class plib

Bases: object

static Bin(*args)
  • Returns the Binomial Cnp. N should be <= BSplCLib::MaxDegree().
Parameters:
Return type:

float
static CoefficientsPoles(*args)
Parameters:
  • Coefs (TColgp_Array2OfPnt) –
  • WCoefs (TColStd_Array2OfReal &) –
  • Poles (TColgp_Array2OfPnt) –
  • WPoles (TColStd_Array2OfReal &) –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • dim (int) –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
Return type:

void
Return type:

void
Return type:

void
Return type:

void
Return type:

void
static ConstraintOrder(*args)
  • translates from Integer to GeomAbs_Shape
Parameters:NivConstr (int) –
Return type:GeomAbs_Shape
static EvalCubicHermite(*args)
  • 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 : [0], [Dimension-1] : value at first param [Dimension], [Dimension + Dimension-1] : value at last param Derivative array stores the value of the derivatives at the first parameter and at the last parameter in the following format [0], [Dimension-1] : derivative at first param [Dimension], [Dimension + Dimension-1] : derivative at last param //! ParameterArray stores the first and last parameter in the following format : [0] : first parameter [1] : last parameter //! Results will store things in the following format with d = DerivativeOrder //! [0], [Dimension-1] : value [Dimension], [Dimension + Dimension-1] : first derivative //! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Dimension (int) –
  • ValueArray (float &) –
  • DerivativeArray (float &) –
  • ParameterArray (float &) –
  • Results (float &) –
Return type:

int
static EvalLagrange(*args)
  • 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 //! [0], [Dimension-1] : value [Dimension], [Dimension + Dimension-1] : first derivative //! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Degree (int) –
  • Dimension (int) –
  • ValueArray (float &) –
  • ParameterArray (float &) –
  • Results (float &) –
Return type:

int
static EvalLength(*args)
Parameters:
  • Degree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • U1 (float) –
  • U2 (float) –
  • Length (float &) –
  • Degree –
  • Dimension –
  • PolynomialCoeff –
  • U1 –
  • U2 –
  • Tol (float) –
  • Length –
  • Error (float &) –
Return type:

void
Return type:

void
static EvalPoly2Var(*args)
  • Applies EvalPolynomial twice to evaluate the derivative of orders UDerivativeOrder in U, VDerivativeOrder in V at parameters U,V //! PolynomialCoeff are stored in the following fashion c00(1) .... c00(Dimension) c10(1) .... c10(Dimension) .... cm0(1) .... cm0(Dimension) .... c01(1) .... c01(Dimension) c11(1) .... c11(Dimension) .... cm1(1) .... cm1(Dimension) .... c0n(1) .... c0n(Dimension) c1n(1) .... c1n(Dimension) .... cmn(1) .... cmn(Dimension) //! where the polynomial is defined as : 2 m c00 + c10 U + c20 U + .... + cm0 U 2 m + c01 V + c11 UV + c21 U V + .... + cm1 U V n m n + .... + c0n V + .... + cmn U V //! with m = UDegree and n = VDegree //! Results stores the result in the following format //! f(1) f(2) .... f(Dimension) //! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly
Parameters:
  • U (float) –
  • V (float) –
  • UDerivativeOrder (int) –
  • VDerivativeOrder (int) –
  • UDegree (int) –
  • VDegree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
static EvalPolynomial(*args)
  • Performs Horner method with synthethic division for derivatives parameter <U>, with <Degree> and <Dimension>. PolynomialCoeff are stored in the following fashion c0(1) c0(2) .... c0(Dimension) c1(1) c1(2) .... c1(Dimension) //! cDegree(1) cDegree(2) .... cDegree(Dimension) where the polynomial is defined as : //! 2 Degree c0 + c1 X + c2 X + .... cDegree X //! Results stores the result in the following format //! f(1) f(2) .... f(Dimension) (1) (1) (1) f (1) f (2) .... f (Dimension) //! (DerivativeRequest) (DerivativeRequest) f (1) f (Dimension) //! this just evaluates the point at parameter U //! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Degree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
static GetPoles(*args)
  • Get from FP the coordinates of the poles.
Parameters:
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
  • FP (TColStd_Array1OfReal &) –
  • Poles (TColgp_Array1OfPnt) –
  • Weights (TColStd_Array1OfReal &) –
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
  • FP (TColStd_Array1OfReal &) –
  • Poles (TColgp_Array1OfPnt2d) –
  • Weights (TColStd_Array1OfReal &) –
Return type:

void
static HermiteCoefficients(*args)
Parameters:
  • FirstParameter (float) –
  • LastParameter (float) –
  • FirstOrder (int) –
  • LastOrder (int) –
  • MatrixCoefs (math_Matrix &) –
Return type:

bool
static HermiteInterpolate(*args)
  • 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
Parameters:
  • Dimension (int) –
  • FirstParameter (float) –
  • LastParameter (float) –
  • FirstOrder (int) –
  • LastOrder (int) –
  • FirstConstr (TColStd_Array2OfReal &) –
  • LastConstr (TColStd_Array2OfReal &) –
  • Coefficients (TColStd_Array1OfReal &) –
Return type:

bool
static JacobiParameters(*args)
  • 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.
Parameters:
  • ConstraintOrder (GeomAbs_Shape) –
  • MaxDegree (int) –
  • Code (int) –
  • NbGaussPoints (int &) –
  • WorkDegree (int &) –
Return type:

void
static NivConstr(*args)
  • translates from GeomAbs_Shape to Integer
Parameters:ConstraintOrder (GeomAbs_Shape) –
Return type:int
static NoDerivativeEvalPolynomial(*args)
  • Same as above with DerivativeOrder = 0;
Parameters:
  • U (float) –
  • Degree (int) –
  • Dimension (int) –
  • DegreeDimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
static NoWeights(*args)
  • Used as argument for a non rational functions
Return type:TColStd_Array1OfReal
static NoWeights2(*args)
  • Used as argument for a non rational functions
Return type:TColStd_Array2OfReal
static RationalDerivative(*args)
  • Computes the derivatives of a ratio at order <N> in dimension <Dimension>. //! <Ders> is an array containing the values of the input derivatives from 0 to Min(<N>,<Degree>). For orders higher than <Degree> the inputcd /s2d1/BMDL/ derivatives are assumed to be 0. //! Content of <Ders> : //! x(1),x(2),...,x(Dimension),w x’(1),x’(2),...,x’(Dimension),w’ x’‘(1),x’‘(2),...,x’‘(Dimension),w’’ //! If <All> is false, only the derivative at order <N> is computed. <RDers> is an array of length Dimension which will contain the result : //! x(1)/w , x(2)/w , ... derivated <N> times //! If <All> is true all the derivatives up to order <N> are computed. <RDers> is an array of length Dimension * (N+1) which will contains : //! x(1)/w , x(2)/w , ... x(1)/w , x(2)/w , ... derivated <1> times x(1)/w , x(2)/w , ... derivated <2> times ... x(1)/w , x(2)/w , ... derivated <N> times //! Warning: <RDers> must be dimensionned properly.
Parameters:
  • Degree (int) –
  • N (int) –
  • Dimension (int) –
  • Ders (float &) –
  • RDers (float &) –
  • All (bool) – default value is Standard_True
Return type:

void
static RationalDerivatives(*args)
  • Computes DerivativesRequest derivatives of a ratio at of a BSpline function of degree <Degree> dimension <Dimension>. //! <PolesDerivatives> is an array containing the values of the input derivatives from 0 to <DerivativeRequest> For orders higher than <Degree> the input derivatives are assumed to be 0. //! Content of <PoleasDerivatives> : //! x(1),x(2),...,x(Dimension) x’(1),x’(2),...,x’(Dimension) x’‘(1),x’‘(2),...,x’‘(Dimension) //! WeightsDerivatives is an array that contains derivatives from 0 to <DerivativeRequest> After returning from the routine the array RationalDerivatives contains the following x(1)/w , x(2)/w , ... x(1)/w , x(2)/w , ... derivated once x(1)/w , x(2)/w , ... twice x(1)/w , x(2)/w , ... derivated <DerivativeRequest> times //! The array RationalDerivatives and PolesDerivatives can be same since the overwrite is non destructive within the algorithm //! Warning: <RationalDerivates> must be dimensionned properly.
Parameters:
  • DerivativesRequest (int) –
  • Dimension (int) –
  • PolesDerivatives (float &) –
  • WeightsDerivatives (float &) –
  • RationalDerivates (float &) –
Return type:

void
static SetPoles(*args)
  • Copy in FP the coordinates of the poles.
Parameters:
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
  • Poles (TColgp_Array1OfPnt) –
  • Weights (TColStd_Array1OfReal &) –
  • FP (TColStd_Array1OfReal &) –
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
  • Poles (TColgp_Array1OfPnt2d) –
  • Weights (TColStd_Array1OfReal &) –
  • FP (TColStd_Array1OfReal &) –
Return type:

void
static Trimming(*args)
Parameters:
  • U1 (float) –
  • U2 (float) –
  • Coeffs (TColStd_Array1OfReal &) –
  • WCoeffs (TColStd_Array1OfReal &) –
  • U1 –
  • U2 –
  • Coeffs –
  • WCoeffs –
  • U1 –
  • U2 –
  • Coeffs –
  • WCoeffs –
  • U1 –
  • U2 –
  • dim (int) –
  • Coeffs –
  • WCoeffs –
Return type:

void
Return type:

void
Return type:

void
Return type:

void
static UTrimming(*args)
Parameters:
Return type:

void
static VTrimming(*args)
Parameters:
Return type:

void
thisown

The membership flag

plib_Bin(*args)
  • Returns the Binomial Cnp. N should be <= BSplCLib::MaxDegree().
Parameters:
Return type:

float
plib_CoefficientsPoles(*args)
Parameters:
  • Coefs (TColgp_Array2OfPnt) –
  • WCoefs (TColStd_Array2OfReal &) –
  • Poles (TColgp_Array2OfPnt) –
  • WPoles (TColStd_Array2OfReal &) –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • dim (int) –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
  • Coefs –
  • WCoefs –
  • Poles –
  • WPoles –
Return type:

void
Return type:

void
Return type:

void
Return type:

void
Return type:

void
plib_ConstraintOrder(*args)
  • translates from Integer to GeomAbs_Shape
Parameters:NivConstr (int) –
Return type:GeomAbs_Shape
plib_EvalCubicHermite(*args)
  • 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 : [0], [Dimension-1] : value at first param [Dimension], [Dimension + Dimension-1] : value at last param Derivative array stores the value of the derivatives at the first parameter and at the last parameter in the following format [0], [Dimension-1] : derivative at first param [Dimension], [Dimension + Dimension-1] : derivative at last param //! ParameterArray stores the first and last parameter in the following format : [0] : first parameter [1] : last parameter //! Results will store things in the following format with d = DerivativeOrder //! [0], [Dimension-1] : value [Dimension], [Dimension + Dimension-1] : first derivative //! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Dimension (int) –
  • ValueArray (float &) –
  • DerivativeArray (float &) –
  • ParameterArray (float &) –
  • Results (float &) –
Return type:

int
plib_EvalLagrange(*args)
  • 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 //! [0], [Dimension-1] : value [Dimension], [Dimension + Dimension-1] : first derivative //! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Degree (int) –
  • Dimension (int) –
  • ValueArray (float &) –
  • ParameterArray (float &) –
  • Results (float &) –
Return type:

int
plib_EvalLength(*args)
Parameters:
  • Degree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • U1 (float) –
  • U2 (float) –
  • Length (float &) –
  • Degree –
  • Dimension –
  • PolynomialCoeff –
  • U1 –
  • U2 –
  • Tol (float) –
  • Length –
  • Error (float &) –
Return type:

void
Return type:

void
plib_EvalPoly2Var(*args)
  • Applies EvalPolynomial twice to evaluate the derivative of orders UDerivativeOrder in U, VDerivativeOrder in V at parameters U,V //! PolynomialCoeff are stored in the following fashion c00(1) .... c00(Dimension) c10(1) .... c10(Dimension) .... cm0(1) .... cm0(Dimension) .... c01(1) .... c01(Dimension) c11(1) .... c11(Dimension) .... cm1(1) .... cm1(Dimension) .... c0n(1) .... c0n(Dimension) c1n(1) .... c1n(Dimension) .... cmn(1) .... cmn(Dimension) //! where the polynomial is defined as : 2 m c00 + c10 U + c20 U + .... + cm0 U 2 m + c01 V + c11 UV + c21 U V + .... + cm1 U V n m n + .... + c0n V + .... + cmn U V //! with m = UDegree and n = VDegree //! Results stores the result in the following format //! f(1) f(2) .... f(Dimension) //! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly
Parameters:
  • U (float) –
  • V (float) –
  • UDerivativeOrder (int) –
  • VDerivativeOrder (int) –
  • UDegree (int) –
  • VDegree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
plib_EvalPolynomial(*args)
  • Performs Horner method with synthethic division for derivatives parameter <U>, with <Degree> and <Dimension>. PolynomialCoeff are stored in the following fashion c0(1) c0(2) .... c0(Dimension) c1(1) c1(2) .... c1(Dimension) //! cDegree(1) cDegree(2) .... cDegree(Dimension) where the polynomial is defined as : //! 2 Degree c0 + c1 X + c2 X + .... cDegree X //! Results stores the result in the following format //! f(1) f(2) .... f(Dimension) (1) (1) (1) f (1) f (2) .... f (Dimension) //! (DerivativeRequest) (DerivativeRequest) f (1) f (Dimension) //! this just evaluates the point at parameter U //! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly
Parameters:
  • U (float) –
  • DerivativeOrder (int) –
  • Degree (int) –
  • Dimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
plib_GetPoles(*args)
  • Get from FP the coordinates of the poles.
Parameters:
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
  • FP (TColStd_Array1OfReal &) –
  • Poles (TColgp_Array1OfPnt) –
  • Weights (TColStd_Array1OfReal &) –
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
Return type:

void
  • Get from FP the coordinates of the poles.
Parameters:
  • FP (TColStd_Array1OfReal &) –
  • Poles (TColgp_Array1OfPnt2d) –
  • Weights (TColStd_Array1OfReal &) –
Return type:

void
plib_HermiteCoefficients(*args)
Parameters:
  • FirstParameter (float) –
  • LastParameter (float) –
  • FirstOrder (int) –
  • LastOrder (int) –
  • MatrixCoefs (math_Matrix &) –
Return type:

bool
plib_HermiteInterpolate(*args)
  • 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
Parameters:
  • Dimension (int) –
  • FirstParameter (float) –
  • LastParameter (float) –
  • FirstOrder (int) –
  • LastOrder (int) –
  • FirstConstr (TColStd_Array2OfReal &) –
  • LastConstr (TColStd_Array2OfReal &) –
  • Coefficients (TColStd_Array1OfReal &) –
Return type:

bool
plib_JacobiParameters(*args)
  • 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.
Parameters:
  • ConstraintOrder (GeomAbs_Shape) –
  • MaxDegree (int) –
  • Code (int) –
  • NbGaussPoints (int &) –
  • WorkDegree (int &) –
Return type:

void
plib_NivConstr(*args)
  • translates from GeomAbs_Shape to Integer
Parameters:ConstraintOrder (GeomAbs_Shape) –
Return type:int
plib_NoDerivativeEvalPolynomial(*args)
  • Same as above with DerivativeOrder = 0;
Parameters:
  • U (float) –
  • Degree (int) –
  • Dimension (int) –
  • DegreeDimension (int) –
  • PolynomialCoeff (float &) –
  • Results (float &) –
Return type:

void
plib_NoWeights(*args)
  • Used as argument for a non rational functions
Return type:TColStd_Array1OfReal
plib_NoWeights2(*args)
  • Used as argument for a non rational functions
Return type:TColStd_Array2OfReal
plib_RationalDerivative(*args)
  • Computes the derivatives of a ratio at order <N> in dimension <Dimension>. //! <Ders> is an array containing the values of the input derivatives from 0 to Min(<N>,<Degree>). For orders higher than <Degree> the inputcd /s2d1/BMDL/ derivatives are assumed to be 0. //! Content of <Ders> : //! x(1),x(2),...,x(Dimension),w x’(1),x’(2),...,x’(Dimension),w’ x’‘(1),x’‘(2),...,x’‘(Dimension),w’’ //! If <All> is false, only the derivative at order <N> is computed. <RDers> is an array of length Dimension which will contain the result : //! x(1)/w , x(2)/w , ... derivated <N> times //! If <All> is true all the derivatives up to order <N> are computed. <RDers> is an array of length Dimension * (N+1) which will contains : //! x(1)/w , x(2)/w , ... x(1)/w , x(2)/w , ... derivated <1> times x(1)/w , x(2)/w , ... derivated <2> times ... x(1)/w , x(2)/w , ... derivated <N> times //! Warning: <RDers> must be dimensionned properly.
Parameters:
  • Degree (int) –
  • N (int) –
  • Dimension (int) –
  • Ders (float &) –
  • RDers (float &) –
  • All (bool) – default value is Standard_True
Return type:

void
plib_RationalDerivatives(*args)
  • Computes DerivativesRequest derivatives of a ratio at of a BSpline function of degree <Degree> dimension <Dimension>. //! <PolesDerivatives> is an array containing the values of the input derivatives from 0 to <DerivativeRequest> For orders higher than <Degree> the input derivatives are assumed to be 0. //! Content of <PoleasDerivatives> : //! x(1),x(2),...,x(Dimension) x’(1),x’(2),...,x’(Dimension) x’‘(1),x’‘(2),...,x’‘(Dimension) //! WeightsDerivatives is an array that contains derivatives from 0 to <DerivativeRequest> After returning from the routine the array RationalDerivatives contains the following x(1)/w , x(2)/w , ... x(1)/w , x(2)/w , ... derivated once x(1)/w , x(2)/w , ... twice x(1)/w , x(2)/w , ... derivated <DerivativeRequest> times //! The array RationalDerivatives and PolesDerivatives can be same since the overwrite is non destructive within the algorithm //! Warning: <RationalDerivates> must be dimensionned properly.
Parameters:
  • DerivativesRequest (int) –
  • Dimension (int) –
  • PolesDerivatives (float &) –
  • WeightsDerivatives (float &) –
  • RationalDerivates (float &) –
Return type:

void
plib_SetPoles(*args)
  • Copy in FP the coordinates of the poles.
Parameters:
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
  • Poles (TColgp_Array1OfPnt) –
  • Weights (TColStd_Array1OfReal &) –
  • FP (TColStd_Array1OfReal &) –
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
Return type:

void
  • Copy in FP the coordinates of the poles.
Parameters:
  • Poles (TColgp_Array1OfPnt2d) –
  • Weights (TColStd_Array1OfReal &) –
  • FP (TColStd_Array1OfReal &) –
Return type:

void
plib_Trimming(*args)
Parameters:
  • U1 (float) –
  • U2 (float) –
  • Coeffs (TColStd_Array1OfReal &) –
  • WCoeffs (TColStd_Array1OfReal &) –
  • U1 –
  • U2 –
  • Coeffs –
  • WCoeffs –
  • U1 –
  • U2 –
  • Coeffs –
  • WCoeffs –
  • U1 –
  • U2 –
  • dim (int) –
  • Coeffs –
  • WCoeffs –
Return type:

void
Return type:

void
Return type:

void
Return type:

void
plib_UTrimming(*args)
Parameters:
Return type:

void
plib_VTrimming(*args)
Parameters:
Return type:

void
register_handle(handle, base_object)

Inserts the handle into the base object to prevent memory corruption in certain cases