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math_BissecNewton Class Reference

This class implements a combination of Newton-Raphson and bissection
methods to find the root of the function between two bounds.
Knowledge of the derivative is required.

#include <math_BissecNewton.hxx>

Public Member Functions

DEFINE_STANDARD_ALLOC math_BissecNewton (math_FunctionWithDerivative &F, const Standard_Real Bound1, const Standard_Real Bound2, const Standard_Real TolX, const Standard_Integer NbIterations=100)
 A combination of Newton-Raphson and bissection methods is done to find
the root of the function F between the bounds Bound1 and Bound2.
on the function F.
The tolerance required on the root is given by TolX.
The solution is found when :
abs(Xi - Xi-1) <= TolX and F(Xi) * F(Xi-1) <= 0
The maximum number of iterations allowed is given by NbIterations.

virtual Standard_Boolean IsSolutionReached (math_FunctionWithDerivative &F)
 This method is called at the end of each iteration to check if the
solution has been found.
It can be redefined in a sub-class to implement a specific test to
stop the iterations.

Standard_Boolean IsDone () const
 Tests is the root has been successfully found.

Standard_Real Root () const
 returns the value of the root.
Exception NotDone is raised if the minimum was not found.

Standard_Real Derivative () const
 returns the value of the derivative at the root.
Exception NotDone is raised if the minimum was not found.

Standard_Real Value () const
 returns the value of the function at the root.
Exception NotDone is raised if the minimum was not found.

void Dump (Standard_OStream &o) const
 Prints on the stream o information on the current state
of the object.
Is used to redifine the operator <<.

Protected Member Functions

void Perform (math_FunctionWithDerivative &F, const Standard_Real Bound1, const Standard_Real Bound2, const Standard_Integer NbIterations)

Protected Attributes

math_Status TheStatus
Standard_Real XTol
Standard_Real x
Standard_Real dx
Standard_Real f
Standard_Real df

Constructor & Destructor Documentation


Member Function Documentation


Field Documentation


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