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// This file is generated by WOK (CPPExt).
// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _PLib_HeaderFile
#define _PLib_HeaderFile
#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Standard_Macro_HeaderFile
#include <Standard_Macro.hxx>
#endif
#ifndef _Standard_Real_HeaderFile
#include <Standard_Real.hxx>
#endif
#ifndef _Standard_Integer_HeaderFile
#include <Standard_Integer.hxx>
#endif
#ifndef _Standard_Address_HeaderFile
#include <Standard_Address.hxx>
#endif
#ifndef _Standard_Boolean_HeaderFile
#include <Standard_Boolean.hxx>
#endif
#ifndef _GeomAbs_Shape_HeaderFile
#include <GeomAbs_Shape.hxx>
#endif
class TColStd_Array1OfReal;
class TColStd_Array2OfReal;
class TColgp_Array1OfPnt;
class TColgp_Array1OfPnt2d;
class math_Matrix;
class TColgp_Array2OfPnt;
class PLib_Base;
class PLib_JacobiPolynomial;
class PLib_HermitJacobi;
class PLib_DoubleJacobiPolynomial;
//! PLib means Polynomial functions library. This pk <br>
//! provides basic computation functions for <br>
//! polynomial functions. <br>
//! <br>
class PLib {
public:
void* operator new(size_t,void* anAddress)
{
return anAddress;
}
void* operator new(size_t size)
{
return Standard::Allocate(size);
}
void operator delete(void *anAddress)
{
if (anAddress) Standard::Free((Standard_Address&)anAddress);
}
//! Used as argument for a non rational functions <br>
//! <br>
static TColStd_Array1OfReal& NoWeights() ;
//! Used as argument for a non rational functions <br>
//! <br>
static TColStd_Array2OfReal& NoWeights2() ;
//! Copy in FP the coordinates of the poles. <br>
Standard_EXPORT static void SetPoles(const TColgp_Array1OfPnt& Poles,TColStd_Array1OfReal& FP) ;
//! Copy in FP the coordinates of the poles. <br>
Standard_EXPORT static void SetPoles(const TColgp_Array1OfPnt& Poles,const TColStd_Array1OfReal& Weights,TColStd_Array1OfReal& FP) ;
//! Get from FP the coordinates of the poles. <br>
Standard_EXPORT static void GetPoles(const TColStd_Array1OfReal& FP,TColgp_Array1OfPnt& Poles) ;
//! Get from FP the coordinates of the poles. <br>
Standard_EXPORT static void GetPoles(const TColStd_Array1OfReal& FP,TColgp_Array1OfPnt& Poles,TColStd_Array1OfReal& Weights) ;
//! Copy in FP the coordinates of the poles. <br>
Standard_EXPORT static void SetPoles(const TColgp_Array1OfPnt2d& Poles,TColStd_Array1OfReal& FP) ;
//! Copy in FP the coordinates of the poles. <br>
Standard_EXPORT static void SetPoles(const TColgp_Array1OfPnt2d& Poles,const TColStd_Array1OfReal& Weights,TColStd_Array1OfReal& FP) ;
//! Get from FP the coordinates of the poles. <br>
Standard_EXPORT static void GetPoles(const TColStd_Array1OfReal& FP,TColgp_Array1OfPnt2d& Poles) ;
//! Get from FP the coordinates of the poles. <br>
Standard_EXPORT static void GetPoles(const TColStd_Array1OfReal& FP,TColgp_Array1OfPnt2d& Poles,TColStd_Array1OfReal& Weights) ;
//! Returns the Binomial Cnp , without testing anything. <br>
static Standard_Real Bin(const Standard_Integer N,const Standard_Integer P) ;
//! test on N > maxbinom and build the PASCAL triangle <br>
//! on size N if necessary. <br>
static void Binomial(const Standard_Integer N) ;
//! only called by Binomial(N,P) <br>
Standard_EXPORT static void InternalBinomial(const Standard_Integer N,Standard_Integer& maxbinom,Standard_Address& binom) ;
//! Computes the derivatives of a ratio at order <br>
//! <N> in dimension <Dimension>. <br>
//! <br>
//! <Ders> is an array containing the values of the <br>
//! input derivatives from 0 to Min(<N>,<Degree>). <br>
//! For orders higher than <Degree> the inputcd /s2d1/BMDL/ <br>
//! derivatives are assumed to be 0. <br>
//! <br>
//! Content of <Ders> : <br>
//! <br>
//! x(1),x(2),...,x(Dimension),w <br>
//! x'(1),x'(2),...,x'(Dimension),w' <br>
//! x''(1),x''(2),...,x''(Dimension),w'' <br>
//! <br>
//! If <All> is false, only the derivative at order <br>
//! <N> is computed. <RDers> is an array of length <br>
//! Dimension which will contain the result : <br>
//! <br>
//! x(1)/w , x(2)/w , ... derivated <N> times <br>
//! <br>
//! If <All> is true all the derivatives up to order <br>
//! <N> are computed. <RDers> is an array of length <br>
//! Dimension * (N+1) which will contains : <br>
//! <br>
//! x(1)/w , x(2)/w , ... <br>
//! x(1)/w , x(2)/w , ... derivated <1> times <br>
//! x(1)/w , x(2)/w , ... derivated <2> times <br>
//! ... <br>
//! x(1)/w , x(2)/w , ... derivated <N> times <br>
//! <br>
//! Warning: <RDers> must be dimensionned properly. <br>
Standard_EXPORT static void RationalDerivative(const Standard_Integer Degree,const Standard_Integer N,const Standard_Integer Dimension,Standard_Real& Ders,Standard_Real& RDers,const Standard_Boolean All = Standard_True) ;
//! Computes DerivativesRequest derivatives of a ratio at <br>
//! of a BSpline function of degree <Degree> <br>
//! dimension <Dimension>. <br>
//! <br>
//! <PolesDerivatives> is an array containing the values <br>
//! of the input derivatives from 0 to <DerivativeRequest> <br>
//! For orders higher than <Degree> the input <br>
//! derivatives are assumed to be 0. <br>
//! <br>
//! Content of <PoleasDerivatives> : <br>
//! <br>
//! x(1),x(2),...,x(Dimension) <br>
//! x'(1),x'(2),...,x'(Dimension) <br>
//! x''(1),x''(2),...,x''(Dimension) <br>
//! <br>
//! <br>
//! WeightsDerivatives is an array that contains derivatives <br>
//! from 0 to <DerivativeRequest> <br>
//! After returning from the routine the array <br>
//! RationalDerivatives contains the following <br>
//! x(1)/w , x(2)/w , ... <br>
//! x(1)/w , x(2)/w , ... derivated once <br>
//! x(1)/w , x(2)/w , ... twice <br>
//! x(1)/w , x(2)/w , ... derivated <DerivativeRequest> times <br>
//! <br>
//! The array RationalDerivatives and PolesDerivatives <br>
//! can be same since the overwrite is non destructive within <br>
//! the algorithm <br>
//! <br>
//! Warning: <RationalDerivates> must be dimensionned properly. <br>
Standard_EXPORT static void RationalDerivatives(const Standard_Integer DerivativesRequest,const Standard_Integer Dimension,Standard_Real& PolesDerivatives,Standard_Real& WeightsDerivatives,Standard_Real& RationalDerivates) ;
//! Performs Horner method with synthethic division <br>
//! for derivatives <br>
//! parameter <U>, with <Degree> and <Dimension>. <br>
//! PolynomialCoeff are stored in the following fashion <br>
//! c0(1) c0(2) .... c0(Dimension) <br>
//! c1(1) c1(2) .... c1(Dimension) <br>
//! <br>
//! <br>
//! cDegree(1) cDegree(2) .... cDegree(Dimension) <br>
//! where the polynomial is defined as : <br>
//! <br>
//! 2 Degree <br>
//! c0 + c1 X + c2 X + .... cDegree X <br>
//! <br>
//! Results stores the result in the following format <br>
//! <br>
//! f(1) f(2) .... f(Dimension) <br>
//! (1) (1) (1) <br>
//! f (1) f (2) .... f (Dimension) <br>
//! <br>
//! (DerivativeRequest) (DerivativeRequest) <br>
//! f (1) f (Dimension) <br>
//! <br>
//! this just evaluates the point at parameter U <br>
//! <br>
//! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly <br>
//! <br>
//! <br>
Standard_EXPORT static void EvalPolynomial(const Standard_Real U,const Standard_Integer DerivativeOrder,const Standard_Integer Degree,const Standard_Integer Dimension,Standard_Real& PolynomialCoeff,Standard_Real& Results) ;
//! Same as above with DerivativeOrder = 0; <br>
Standard_EXPORT static void NoDerivativeEvalPolynomial(const Standard_Real U,const Standard_Integer Degree,const Standard_Integer Dimension,const Standard_Integer DegreeDimension,Standard_Real& PolynomialCoeff,Standard_Real& Results) ;
//! Applies EvalPolynomial twice to evaluate the derivative <br>
//! of orders UDerivativeOrder in U, VDerivativeOrder in V <br>
//! at parameters U,V <br>
//! <br>
//! <br>
//! PolynomialCoeff are stored in the following fashion <br>
//! c00(1) .... c00(Dimension) <br>
//! c10(1) .... c10(Dimension) <br>
//! .... <br>
//! cm0(1) .... cm0(Dimension) <br>
//! .... <br>
//! c01(1) .... c01(Dimension) <br>
//! c11(1) .... c11(Dimension) <br>
//! .... <br>
//! cm1(1) .... cm1(Dimension) <br>
//! .... <br>
//! c0n(1) .... c0n(Dimension) <br>
//! c1n(1) .... c1n(Dimension) <br>
//! .... <br>
//! cmn(1) .... cmn(Dimension) <br>
//! <br>
//! <br>
//! where the polynomial is defined as : <br>
//! 2 m <br>
//! c00 + c10 U + c20 U + .... + cm0 U <br>
//! 2 m <br>
//! + c01 V + c11 UV + c21 U V + .... + cm1 U V <br>
//! n m n <br>
//! + .... + c0n V + .... + cmn U V <br>
//! <br>
//! with m = UDegree and n = VDegree <br>
//! <br>
//! Results stores the result in the following format <br>
//! <br>
//! f(1) f(2) .... f(Dimension) <br>
//! <br>
//! Warning: <Results> and <PolynomialCoeff> must be dimensioned properly <br>
//! <br>
//! <br>
Standard_EXPORT static void EvalPoly2Var(const Standard_Real U,const Standard_Real V,const Standard_Integer UDerivativeOrder,const Standard_Integer VDerivativeOrder,const Standard_Integer UDegree,const Standard_Integer VDegree,const Standard_Integer Dimension,Standard_Real& PolynomialCoeff,Standard_Real& Results) ;
//! Performs the Lagrange Interpolation of <br>
//! given series of points with given parameters <br>
//! with the requested derivative order <br>
//! Results will store things in the following format <br>
//! with d = DerivativeOrder <br>
//! <br>
//! [0], [Dimension-1] : value <br>
//! [Dimension], [Dimension + Dimension-1] : first derivative <br>
//! <br>
//! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative <br>
Standard_EXPORT static Standard_Integer EvalLagrange(const Standard_Real U,const Standard_Integer DerivativeOrder,const Standard_Integer Degree,const Standard_Integer Dimension,Standard_Real& ValueArray,Standard_Real& ParameterArray,Standard_Real& Results) ;
//! Performs the Cubic Hermite Interpolation of <br>
//! given series of points with given parameters <br>
//! with the requested derivative order. <br>
//! ValueArray stores the value at the first and <br>
//! last parameter. It has the following format : <br>
//! [0], [Dimension-1] : value at first param <br>
//! [Dimension], [Dimension + Dimension-1] : value at last param <br>
//! Derivative array stores the value of the derivatives <br>
//! at the first parameter and at the last parameter <br>
//! in the following format <br>
//! [0], [Dimension-1] : derivative at <br>
//! first param <br>
//! [Dimension], [Dimension + Dimension-1] : derivative at <br>
//! last param <br>
//! <br>
//! ParameterArray stores the first and last parameter <br>
//! in the following format : <br>
//! [0] : first parameter <br>
//! [1] : last parameter <br>
//! <br>
//! Results will store things in the following format <br>
//! with d = DerivativeOrder <br>
//! <br>
//! [0], [Dimension-1] : value <br>
//! [Dimension], [Dimension + Dimension-1] : first derivative <br>
//! <br>
//! [d *Dimension], [d*Dimension + Dimension-1]: dth derivative <br>
Standard_EXPORT static Standard_Integer EvalCubicHermite(const Standard_Real U,const Standard_Integer DerivativeOrder,const Standard_Integer Dimension,Standard_Real& ValueArray,Standard_Real& DerivativeArray,Standard_Real& ParameterArray,Standard_Real& Results) ;
Standard_EXPORT static Standard_Boolean HermiteCoefficients(const Standard_Real FirstParameter,const Standard_Real LastParameter,const Standard_Integer FirstOrder,const Standard_Integer LastOrder,math_Matrix& MatrixCoefs) ;
Standard_EXPORT static void CoefficientsPoles(const TColgp_Array1OfPnt& Coefs,const TColStd_Array1OfReal& WCoefs,TColgp_Array1OfPnt& Poles,TColStd_Array1OfReal& WPoles) ;
Standard_EXPORT static void CoefficientsPoles(const TColgp_Array1OfPnt2d& Coefs,const TColStd_Array1OfReal& WCoefs,TColgp_Array1OfPnt2d& Poles,TColStd_Array1OfReal& WPoles) ;
Standard_EXPORT static void CoefficientsPoles(const TColStd_Array1OfReal& Coefs,const TColStd_Array1OfReal& WCoefs,TColStd_Array1OfReal& Poles,TColStd_Array1OfReal& WPoles) ;
Standard_EXPORT static void CoefficientsPoles(const Standard_Integer dim,const TColStd_Array1OfReal& Coefs,const TColStd_Array1OfReal& WCoefs,TColStd_Array1OfReal& Poles,TColStd_Array1OfReal& WPoles) ;
Standard_EXPORT static void Trimming(const Standard_Real U1,const Standard_Real U2,TColgp_Array1OfPnt& Coeffs,TColStd_Array1OfReal& WCoeffs) ;
Standard_EXPORT static void Trimming(const Standard_Real U1,const Standard_Real U2,TColgp_Array1OfPnt2d& Coeffs,TColStd_Array1OfReal& WCoeffs) ;
Standard_EXPORT static void Trimming(const Standard_Real U1,const Standard_Real U2,TColStd_Array1OfReal& Coeffs,TColStd_Array1OfReal& WCoeffs) ;
Standard_EXPORT static void Trimming(const Standard_Real U1,const Standard_Real U2,const Standard_Integer dim,TColStd_Array1OfReal& Coeffs,TColStd_Array1OfReal& WCoeffs) ;
Standard_EXPORT static void CoefficientsPoles(const TColgp_Array2OfPnt& Coefs,const TColStd_Array2OfReal& WCoefs,TColgp_Array2OfPnt& Poles,TColStd_Array2OfReal& WPoles) ;
Standard_EXPORT static void UTrimming(const Standard_Real U1,const Standard_Real U2,TColgp_Array2OfPnt& Coeffs,TColStd_Array2OfReal& WCoeffs) ;
Standard_EXPORT static void VTrimming(const Standard_Real V1,const Standard_Real V2,TColgp_Array2OfPnt& Coeffs,TColStd_Array2OfReal& WCoeffs) ;
//! Compute the coefficients in the canonical base of the <br>
//! polynomial satisfying the given constraints <br>
//! at the given parameters <br>
//! The array FirstContr(i,j) i=1,Dimension j=0,FirstOrder <br>
//! contains the values of the constraint at parameter FirstParameter <br>
//! idem for LastConstr <br>
Standard_EXPORT static Standard_Boolean HermiteInterpolate(const Standard_Integer Dimension,const Standard_Real FirstParameter,const Standard_Real LastParameter,const Standard_Integer FirstOrder,const Standard_Integer LastOrder,const TColStd_Array2OfReal& FirstConstr,const TColStd_Array2OfReal& LastConstr,TColStd_Array1OfReal& Coefficients) ;
Standard_EXPORT static void JacobiParameters(const GeomAbs_Shape ConstraintOrder,const Standard_Integer MaxDegree,const Standard_Integer Code,Standard_Integer& NbGaussPoints,Standard_Integer& WorkDegree) ;
Standard_EXPORT static Standard_Integer NivConstr(const GeomAbs_Shape ConstraintOrder) ;
Standard_EXPORT static GeomAbs_Shape ConstraintOrder(const Standard_Integer NivConstr) ;
Standard_EXPORT static void EvalLength(const Standard_Integer Degree,const Standard_Integer Dimension,Standard_Real& PolynomialCoeff,const Standard_Real U1,const Standard_Real U2,Standard_Real& Length) ;
Standard_EXPORT static void EvalLength(const Standard_Integer Degree,const Standard_Integer Dimension,Standard_Real& PolynomialCoeff,const Standard_Real U1,const Standard_Real U2,const Standard_Real Tol,Standard_Real& Length,Standard_Real& Error) ;
protected:
private:
friend class PLib_Base;
friend class PLib_JacobiPolynomial;
friend class PLib_HermitJacobi;
friend class PLib_DoubleJacobiPolynomial;
};
#include <PLib.lxx>
// other Inline functions and methods (like "C++: function call" methods)
#endif
|
