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// File generated by CPPExt (Value)
//
// Copyright (C) 1991 - 2000 by
// Matra Datavision SA. All rights reserved.
//
// Copyright (C) 2001 - 2004 by
// Open CASCADE SA. All rights reserved.
//
// This file is part of the Open CASCADE Technology software.
//
// This software may be distributed and/or modified under the terms and
// conditions of the Open CASCADE Public License as defined by Open CASCADE SA
// and appearing in the file LICENSE included in the packaging of this file.
//
// This software is distributed on an "AS IS" basis, without warranty of any
// kind, and Open CASCADE SA hereby disclaims all such warranties,
// including without limitation, any warranties of merchantability, fitness
// for a particular purpose or non-infringement. Please see the License for
// the specific terms and conditions governing rights and limitations under the
// License.
#ifndef _math_FunctionSetRoot_HeaderFile
#define _math_FunctionSetRoot_HeaderFile
#ifndef _Standard_Boolean_HeaderFile
#include <Standard_Boolean.hxx>
#endif
#ifndef _math_Vector_HeaderFile
#include <math_Vector.hxx>
#endif
#ifndef _math_Matrix_HeaderFile
#include <math_Matrix.hxx>
#endif
#ifndef _Standard_Integer_HeaderFile
#include <Standard_Integer.hxx>
#endif
#ifndef _math_IntegerVector_HeaderFile
#include <math_IntegerVector.hxx>
#endif
#ifndef _Standard_OStream_HeaderFile
#include <Standard_OStream.hxx>
#endif
class StdFail_NotDone;
class Standard_DimensionError;
class math_FunctionSetWithDerivatives;
class math_Vector;
class math_Matrix;
#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Standard_Macro_HeaderFile
#include <Standard_Macro.hxx>
#endif
//! The math_FunctionSetRoot class calculates the root <br>
//! of a set of N functions of M variables (N<M, N=M or N>M). Knowing <br>
//! an initial guess of the solution and using a minimization algorithm, a search <br>
//! is made in the Newton direction and then in the Gradient direction if there <br>
//! is no success in the Newton direction. This algorithm can also be <br>
//! used for functions minimization. Knowledge of all the partial <br>
//! derivatives (the Jacobian) is required. <br>
class math_FunctionSetRoot {
public:
void* operator new(size_t,void* anAddress)
{
return anAddress;
}
void* operator new(size_t size)
{
return Standard::Allocate(size);
}
void operator delete(void *anAddress)
{
if (anAddress) Standard::Free((Standard_Address&)anAddress);
}
// Methods PUBLIC
//
//! is used in a sub-class to initialize correctly all the fields <br>
//! of this class. <br>
//! The range (1, F.NbVariables()) must be especially <br>
//! respected for all vectors and matrix declarations. <br>
Standard_EXPORT math_FunctionSetRoot(math_FunctionSetWithDerivatives& F,const math_Vector& Tolerance,const Standard_Integer NbIterations = 100);
//! is used in a sub-class to initialize correctly all the fields <br>
//! of this class. <br>
//! The range (1, F.NbVariables()) must be especially <br>
//! respected for all vectors and matrix declarations. <br>
//! The method SetTolerance must be called after this <br>
//! constructor. <br>
Standard_EXPORT math_FunctionSetRoot(math_FunctionSetWithDerivatives& F,const Standard_Integer NbIterations = 100);
//! is used to improve the root of the function F <br>
//! from the initial guess StartingPoint. <br>
//! The maximum number of iterations allowed is given by <br>
//! NbIterations. <br>
//! In this case, the solution is found when: <br>
//! abs(Xi - Xi-1)(j) <= Tolerance(j) for all unknowns. <br>
Standard_EXPORT math_FunctionSetRoot(math_FunctionSetWithDerivatives& F,const math_Vector& StartingPoint,const math_Vector& Tolerance,const Standard_Integer NbIterations = 100);
//! is used to improve the root of the function F <br>
//! from the initial guess StartingPoint. <br>
//! The maximum number of iterations allowed is given <br>
//! by NbIterations. <br>
//! In this case, the solution is found when: <br>
//! abs(Xi - Xi-1) <= Tolerance for all unknowns. <br>
Standard_EXPORT math_FunctionSetRoot(math_FunctionSetWithDerivatives& F,const math_Vector& StartingPoint,const math_Vector& Tolerance,const math_Vector& infBound,const math_Vector& supBound,const Standard_Integer NbIterations = 100);
Standard_EXPORT virtual void Delete() ;
Standard_EXPORT virtual ~math_FunctionSetRoot(){Delete();}
//! Initializes the tolerance values. <br>
Standard_EXPORT void SetTolerance(const math_Vector& Tolerance) ;
//! Improves the root of function F from the initial guess <br>
//! StartingPoint. infBound and supBound may be given to constrain the solution. <br>
//! Warning <br>
//! This method is called when computation of the solution is <br>
//! not performed by the constructors. <br>
Standard_EXPORT void Perform(math_FunctionSetWithDerivatives& F,const math_Vector& StartingPoint,const math_Vector& infBound,const math_Vector& supBound) ;
//! This routine is called at the end of each iteration <br>
//! to check if the solution was found. It can be redefined <br>
//! in a sub-class to implement a specific test to stop the <br>
//! iterations. <br>
//! In this case, the solution is found when: <br>
//! abs(Xi - Xi-1) <= Tolerance for all unknowns. <br>
Standard_EXPORT virtual Standard_Boolean IsSolutionReached(math_FunctionSetWithDerivatives& F) ;
//! Returns true if the computations are successful, otherwise returns false. <br>
Standard_Boolean IsDone() const;
//! Returns the number of iterations really done <br>
//! during the computation of the root. <br>
//! Exception NotDone is raised if the root was not found. <br>
Standard_Integer NbIterations() const;
//! returns the stateNumber (as returned by <br>
//! F.GetStateNumber()) associated to the root found. <br>
Standard_Integer StateNumber() const;
//! Returns the value of the root of function F. <br>
//! Exception NotDone is raised if the root was not found. <br>
const math_Vector& Root() const;
//! Outputs the root vector in Root. <br>
//! Exception NotDone is raised if the root was not found. <br>
//! Exception DimensionError is raised if the range of Root <br>
//! is not equal to the range of the StartingPoint. <br>
Standard_EXPORT void Root(math_Vector& Root) const;
//! Returns the matrix value of the derivative at the root. <br>
//! Exception NotDone is raised if the root was not found. <br>
const math_Matrix& Derivative() const;
//! outputs the matrix value of the derivative <br>
//! at the root in Der. <br>
//! Exception NotDone is raised if the root was not found. <br>
//! Exception DimensionError is raised if the column range <br>
//! of <Der> is not equal to the range of the startingPoint. <br>
void Derivative(math_Matrix& Der) const;
//! returns the vector value of the error done <br>
//! on the functions at the root. <br>
//! Exception NotDone is raised if the root was not found. <br>
const math_Vector& FunctionSetErrors() const;
//! outputs the vector value of the error done <br>
//! on the functions at the root in Err. <br>
//! Exception NotDone is raised if the root was not found. <br>
//! Exception DimensionError is raised if the range of Err <br>
//! is not equal to the range of the StartingPoint. <br>
Standard_EXPORT void FunctionSetErrors(math_Vector& Err) const;
//! Prints on the stream o information on the current state <br>
//! of the object. <br>
//! Is used to redefine the operator <<. <br>
Standard_EXPORT void Dump(Standard_OStream& o) const;
protected:
// Methods PROTECTED
//
// Fields PROTECTED
//
math_Vector Delta;
math_Vector Sol;
math_Matrix DF;
math_Vector Tol;
private:
// Methods PRIVATE
//
// Fields PRIVATE
//
Standard_Boolean Done;
Standard_Integer Kount;
Standard_Integer State;
Standard_Integer Itermax;
math_Vector InfBound;
math_Vector SupBound;
math_Vector SolSave;
math_Vector GH;
math_Vector DH;
math_Vector DHSave;
math_Vector FF;
math_Vector PreviousSolution;
math_Vector Save;
math_IntegerVector Constraints;
math_Vector Temp1;
math_Vector Temp2;
math_Vector Temp3;
math_Vector Temp4;
};
#include <math_FunctionSetRoot.lxx>
// other Inline functions and methods (like "C++: function call" methods)
//
#endif
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