Polynoms::PolyEval Function

Overload List

#	Signature	Description
1	void PolyEval(TVec Val, TVec Coeff, TMtx R, int* DegFreedom, double L2R, TVec EvalResult, TVec Delta);	Evaluate a polynomial.
2	void PolyEval(TVec Val, TVec Coeff, TVec *EvalResult);	Evaluates a polynomial with coefficients Coeff at value Val and returns the results in EvalResult.
3	double PolyEval(double Val, TVec *Coeff);	Evaluates a polynomial with coefficients Coeff at real value Val and returns real result.
4	TCplx PolyEval(TCplx Val, TVec *Coeff);	Evaluates a polynomial with coefficients Coeff at complex value Val and returns complex results.

Overload 1: void PolyEval(TVec Val, TVec Coeff, TMtx R, int DegFreedom, double L2R, TVec EvalResult, TVec *Delta);

Evaluate a polynomial.

#	Name	Type	Description
1	Val	TVec *	Stores values doe which the polynomial will be evaluated (x values).
2	Coeff	TVec *	Stores polynomial coefficients for which the polynomial will be evaaluted.
3	R	TMtx *	Returns the Cholesky factor of the Vandermonde matrix.
4	DegFreedom	int	Returns the residuals degree of freedom.
5	L2R	double	Returns the L2 norm of the residuals.
6	EvalResult	TVec *	Returns the results P(x), evaluated at Val.
7	Delta	TVec *	Returns the error estimates for Results.

Remarks:

Evaluate a polynomial with coefficients Coeff at value Val. The order of polynomial (N) is determined as: N := Coeff.Length - 1. The algorithm employed uses Horners rule. The following formula is used to evaluate the polynomial:

P(x) = coeff[0]*x^n + coeff[1]*x^(n-1) + .. + coeff[n]

To estimate the error of polynomial interpolation after a call to Polynoms::PolyFit additional parameters have to be passed to the routine.

Declared in Dew::Math::Units::Polynoms · Dew.Math/Units.Polynoms.h · Cross-compiler

Overload 2: void PolyEval(TVec Val, TVec Coeff, TVec *EvalResult);

Evaluates a polynomial with coefficients Coeff at value Val and returns the results in EvalResult.

#	Name	Type
1	Val	TVec *
2	Coeff	TVec *
3	EvalResult	TVec *

Remarks:

Evaluates a polynomial with coefficients Coeff at value Val and returns the results in EvalResult.

Declared in Dew::Math::Units::Polynoms · Dew.Math/Units.Polynoms.h · Cross-compiler

Overload 3: double PolyEval(double Val, TVec *Coeff);

Evaluates a polynomial with coefficients Coeff at real value Val and returns real result.

#	Name	Type	Description
1	Val	double
2	Coeff	TVec *

Remarks:

Evaluates a polynomial with coefficients Coeff at real value Val and returns real result.

Declared in Dew::Math::Units::Polynoms · Dew.Math/Units.Polynoms.h · Cross-compiler

Overload 4: TCplx PolyEval(TCplx Val, TVec *Coeff);

Evaluates a polynomial with coefficients Coeff at complex value Val and returns complex results.

#	Name	Type	Description
1	Val	TCplx
2	Coeff	TVec *

Remarks:

Evaluates a polynomial with coefficients Coeff at complex value Val and returns complex results.

See Also: Polynoms::PolyFit, TPiecePoly

Declared in Dew::Math::Units::Polynoms · Dew.Math/Units.Polynoms.h · Cross-compiler

Overload List

Overload 1: void PolyEval(TVec *Val, TVec *Coeff, TMtx *R, int DegFreedom, double L2R, TVec *EvalResult, TVec *Delta);

Overload 2: void PolyEval(TVec *Val, TVec *Coeff, TVec *EvalResult);

Overload 3: double PolyEval(double Val, TVec *Coeff);

Overload 4: TCplx PolyEval(TCplx Val, TVec *Coeff);

Overload 1: void PolyEval(TVec Val, TVec Coeff, TMtx R, int DegFreedom, double L2R, TVec EvalResult, TVec *Delta);

Overload 2: void PolyEval(TVec Val, TVec Coeff, TVec *EvalResult);