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// 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 _math_BFGS_HeaderFile
#define _math_BFGS_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Macro.hxx>
#include <Standard_Boolean.hxx>
#include <math_Status.hxx>
#include <math_Vector.hxx>
#include <Standard_Real.hxx>
#include <Standard_Integer.hxx>
#include <Standard_OStream.hxx>
class StdFail_NotDone;
class Standard_DimensionError;
class math_MultipleVarFunctionWithGradient;
//! This class implements the Broyden-Fletcher-Goldfarb-Shanno variant of
//! Davidson-Fletcher-Powell minimization algorithm of a function of
//! multiple variables.Knowledge of the function's gradient is required.
class math_BFGS
{
public:
DEFINE_STANDARD_ALLOC
//! Initializes the computation of the minimum of a function with
//! NbVariables.
//! Tolerance, ZEPS and NbIterations are described in the method Perform.
//! Warning:
//! A call to the Perform method must be made after this
//! initialization to effectively compute the minimum of the
//! function F.
Standard_EXPORT math_BFGS(const Standard_Integer NbVariables, const Standard_Real Tolerance = 1.0e-8, const Standard_Integer NbIterations = 200, const Standard_Real ZEPS = 1.0e-12);
Standard_EXPORT virtual ~math_BFGS();
//! Given the starting point StartingPoint,
//! minimization is done on the function F.
//! The solution F = Fi is found when :
//! 2.0 * abs(Fi - Fi-1) <= Tolerance * (abs(Fi) + abs(Fi-1) + ZEPS).
//! Tolerance, ZEPS and maximum number of iterations are given
//! in the constructor.
Standard_EXPORT void Perform (math_MultipleVarFunctionWithGradient& F, const math_Vector& StartingPoint) ;
//! This method is called at the end of each iteration to check if the
//! solution is found.
//! It can be redefined in a sub-class to implement a specific test to
//! stop the iterations.
Standard_EXPORT virtual Standard_Boolean IsSolutionReached (math_MultipleVarFunctionWithGradient& F) const;
//! Returns true if the computations are successful, otherwise returns false.
Standard_Boolean IsDone() const;
//! returns the location vector of the minimum.
//! Exception NotDone is raised if the minimum was not found.
const math_Vector& Location() const;
//! outputs the location vector of the minimum in Loc.
//! Exception NotDone is raised if the minimum was not found.
//! Exception DimensionError is raised if the range of Loc is not
//! equal to the range of the StartingPoint.
void Location (math_Vector& Loc) const;
//! returns the value of the minimum.
//! Exception NotDone is raised if the minimum was not found.
Standard_Real Minimum() const;
//! Returns the gradient vector at the minimum.
//! Exception NotDone is raised if the minimum was not found.
const math_Vector& Gradient() const;
//! Returns the value of the gradient vector at the minimum in Grad.
//! Exception NotDone is raised if the minimum was not found.
//! Exception DimensionError is raised if the range of Grad is not
//! equal to the range of the StartingPoint.
void Gradient (math_Vector& Grad) const;
//! Returns the number of iterations really done in the
//! calculation of the minimum.
//! The exception NotDone is raised if the minimum was not found.
Standard_Integer NbIterations() const;
//! Prints on the stream o information on the current state
//! of the object.
//! Is used to redefine the operator <<.
Standard_EXPORT void Dump (Standard_OStream& o) const;
protected:
math_Status TheStatus;
math_Vector TheLocation;
math_Vector TheGradient;
Standard_Real PreviousMinimum;
Standard_Real TheMinimum;
Standard_Real XTol;
Standard_Real EPSZ;
Standard_Integer nbiter;
private:
Standard_Boolean Done;
Standard_Integer Itermax;
};
#include <math_BFGS.lxx>
#endif // _math_BFGS_HeaderFile
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