math_DirectPolynomialRoots Class Reference

This class implements the calculation of all the real roots of a real polynomial of degree <= 4 using a direct method. Once found, the roots are polished using the Newton method. More...

#include <math_DirectPolynomialRoots.hxx>

Public Member Functions
	math_DirectPolynomialRoots (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E)
	computes all the real roots of the polynomial Ax4 + Bx3 + Cx2 + Dx + E using a direct method.
	math_DirectPolynomialRoots (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D)
	computes all the real roots of the polynomial Ax3 + Bx2 + Cx + D using a direct method.
	math_DirectPolynomialRoots (const Standard_Real A, const Standard_Real B, const Standard_Real C)
	computes all the real roots of the polynomial Ax2 + Bx + C using a direct method.
	math_DirectPolynomialRoots (const Standard_Real A, const Standard_Real B)
	computes the real root of the polynomial Ax + B.
Standard_Boolean	IsDone () const
	Returns true if the computations are successful, otherwise returns false.
Standard_Boolean	InfiniteRoots () const
	Returns true if there is an infinity of roots, otherwise returns false.
Standard_Integer	NbSolutions () const
	returns the number of solutions. An exception is raised if there are an infinity of roots.
Standard_Real	Value (const Standard_Integer Nieme) const
	returns the value of the Nieme root. An exception is raised if there are an infinity of roots. Exception RangeError is raised if Nieme is < 1 or Nieme > NbSolutions.
void	Dump (Standard_OStream &o) const
	Prints on the stream o information on the current state of the object. Is used to redefine the operator <<.

Protected Member Functions
void	Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E)
void	Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D)
void	Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C)
void	Solve (const Standard_Real A, const Standard_Real B)

Detailed Description

This class implements the calculation of all the real roots of a real polynomial of degree <= 4 using a direct method. Once found, the roots are polished using the Newton method.

Constructor & Destructor Documentation

math_DirectPolynomialRoots() [1/4]

math_DirectPolynomialRoots::math_DirectPolynomialRoots	(	const Standard_Real	A,
		const Standard_Real	B,
		const Standard_Real	C,
		const Standard_Real	D,
		const Standard_Real	E )

computes all the real roots of the polynomial Ax4 + Bx3 + Cx2 + Dx + E using a direct method.

math_DirectPolynomialRoots() [2/4]

math_DirectPolynomialRoots::math_DirectPolynomialRoots	(	const Standard_Real	A,
		const Standard_Real	B,
		const Standard_Real	C,
		const Standard_Real	D )

computes all the real roots of the polynomial Ax3 + Bx2 + Cx + D using a direct method.

math_DirectPolynomialRoots() [3/4]

math_DirectPolynomialRoots::math_DirectPolynomialRoots	(	const Standard_Real	A,
		const Standard_Real	B,
		const Standard_Real	C )

computes all the real roots of the polynomial Ax2 + Bx + C using a direct method.

math_DirectPolynomialRoots() [4/4]

math_DirectPolynomialRoots::math_DirectPolynomialRoots	(	const Standard_Real	A,
		const Standard_Real	B )

computes the real root of the polynomial Ax + B.

Member Function Documentation

Dump()

void math_DirectPolynomialRoots::Dump

(

Standard_OStream &

o

)

const

Prints on the stream o information on the current state of the object. Is used to redefine the operator <<.

InfiniteRoots()

Standard_Boolean math_DirectPolynomialRoots::InfiniteRoots

(

)

const

Returns true if there is an infinity of roots, otherwise returns false.

IsDone()

Standard_Boolean math_DirectPolynomialRoots::IsDone

(

)

const

Returns true if the computations are successful, otherwise returns false.

NbSolutions()

Standard_Integer math_DirectPolynomialRoots::NbSolutions

(

)

const

returns the number of solutions. An exception is raised if there are an infinity of roots.

Solve() [1/4]

void math_DirectPolynomialRoots::Solve ( const Standard_Real A, const Standard_Real B )

protected

Solve() [2/4]

void math_DirectPolynomialRoots::Solve ( const Standard_Real A, const Standard_Real B, const Standard_Real C )

protected

Solve() [3/4]

void math_DirectPolynomialRoots::Solve ( const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D )

protected

Solve() [4/4]

void math_DirectPolynomialRoots::Solve ( const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E )

protected

Value()

Standard_Real math_DirectPolynomialRoots::Value

(

const Standard_Integer

Nieme

)

const

returns the value of the Nieme root. An exception is raised if there are an infinity of roots. Exception RangeError is raised if Nieme is < 1 or Nieme > NbSolutions.

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The documentation for this class was generated from the following file:

• math_DirectPolynomialRoots.hxx