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TKMath
math


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.
.

#include <math_DirectPolynomialRoots.hxx>


Public Member Functions

void * operator new (size_t, void *anAddress)
void * operator new (size_t size)
void operator delete (void *anAddress)
Standard_EXPORT 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.

Standard_EXPORT 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.

Standard_EXPORT 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.

Standard_EXPORT 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.

Standard_EXPORT 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

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

Private Attributes

Standard_Boolean Done
Standard_Boolean InfiniteStatus
Standard_Integer NbSol
Standard_Real TheRoots [4]


Constructor & Destructor Documentation

Standard_EXPORT math_DirectPolynomialRoots::math_DirectPolynomialRoots const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C,
const Standard_Real  D,
const Standard_Real  E
 

Standard_EXPORT math_DirectPolynomialRoots::math_DirectPolynomialRoots const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C,
const Standard_Real  D
 

Standard_EXPORT math_DirectPolynomialRoots::math_DirectPolynomialRoots const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C
 

Standard_EXPORT math_DirectPolynomialRoots::math_DirectPolynomialRoots const Standard_Real  A,
const Standard_Real  B
 


Member Function Documentation

Standard_EXPORT void math_DirectPolynomialRoots::Dump Standard_OStream o  )  const
 

Standard_Boolean math_DirectPolynomialRoots::InfiniteRoots  )  const [inline]
 

Standard_Boolean math_DirectPolynomialRoots::IsDone  )  const [inline]
 

Standard_Integer math_DirectPolynomialRoots::NbSolutions  )  const [inline]
 

void math_DirectPolynomialRoots::operator delete void *  anAddress  )  [inline]
 

void* math_DirectPolynomialRoots::operator new size_t  size  )  [inline]
 

void* math_DirectPolynomialRoots::operator new size_t  ,
void *  anAddress
[inline]
 

Standard_EXPORT void math_DirectPolynomialRoots::Solve const Standard_Real  A,
const Standard_Real  B
[protected]
 

Standard_EXPORT void math_DirectPolynomialRoots::Solve const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C
[protected]
 

Standard_EXPORT void math_DirectPolynomialRoots::Solve const Standard_Real  A,
const Standard_Real  B,
const Standard_Real  C,
const Standard_Real  D
[protected]
 

Standard_EXPORT 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]
 

Standard_Real math_DirectPolynomialRoots::Value const Standard_Integer  Nieme  )  const [inline]
 


Field Documentation

Standard_Boolean math_DirectPolynomialRoots::Done [private]
 

Standard_Boolean math_DirectPolynomialRoots::InfiniteStatus [private]
 

Standard_Integer math_DirectPolynomialRoots::NbSol [private]
 

Standard_Real math_DirectPolynomialRoots::TheRoots[4] [private]
 


The documentation for this class was generated from the following files:
Generated on Mon Aug 25 13:12:45 2008 for OpenCASCADE by  doxygen 1.4.1