Open CASCADE Technology 7.8.2.dev
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Implements a function for the Newton algorithm to find the solution of Integral(F) = L (compute Length and Derivative of the curve for Newton) More...
#include <CPnts_MyRootFunction.hxx>
Public Member Functions | |
CPnts_MyRootFunction () | |
void | Init (const CPnts_RealFunction &F, const Standard_Address D, const Standard_Integer Order) |
F is a pointer on a function D is a client data Order is the order of integration to use. | |
void | Init (const Standard_Real X0, const Standard_Real L) |
We want to solve Integral(X0,X,F(X,D)) = L. | |
void | Init (const Standard_Real X0, const Standard_Real L, const Standard_Real Tol) |
We want to solve Integral(X0,X,F(X,D)) = L with given tolerance. | |
Standard_Boolean | Value (const Standard_Real X, Standard_Real &F) |
This is Integral(X0,X,F(X,D)) - L. | |
Standard_Boolean | Derivative (const Standard_Real X, Standard_Real &Df) |
This is F(X,D) | |
Standard_Boolean | Values (const Standard_Real X, Standard_Real &F, Standard_Real &Df) |
Computes the value <F> and the derivative <D> of the function for the variable <X>. Returns True if the calculation were successfully done, False otherwise. | |
Public Member Functions inherited from math_FunctionWithDerivative | |
virtual | ~math_FunctionWithDerivative () |
Public Member Functions inherited from math_Function | |
virtual | ~math_Function () |
Virtual destructor, for safe inheritance. | |
virtual Standard_Integer | GetStateNumber () |
returns the state of the function corresponding to the latest call of any methods associated with the function. This function is called by each of the algorithms described later which defined the function Integer Algorithm::StateNumber(). The algorithm has the responsibility to call this function when it has found a solution (i.e. a root or a minimum) and has to maintain the association between the solution found and this StateNumber. Byu default, this method returns 0 (which means for the algorithm: no state has been saved). It is the responsibility of the programmer to decide if he needs to save the current state of the function and to return an Integer that allows retrieval of the state. | |
Implements a function for the Newton algorithm to find the solution of Integral(F) = L (compute Length and Derivative of the curve for Newton)
CPnts_MyRootFunction::CPnts_MyRootFunction | ( | ) |
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virtual |
This is F(X,D)
Implements math_FunctionWithDerivative.
void CPnts_MyRootFunction::Init | ( | const CPnts_RealFunction & | F, |
const Standard_Address | D, | ||
const Standard_Integer | Order ) |
F is a pointer on a function D is a client data Order is the order of integration to use.
void CPnts_MyRootFunction::Init | ( | const Standard_Real | X0, |
const Standard_Real | L ) |
We want to solve Integral(X0,X,F(X,D)) = L.
void CPnts_MyRootFunction::Init | ( | const Standard_Real | X0, |
const Standard_Real | L, | ||
const Standard_Real | Tol ) |
We want to solve Integral(X0,X,F(X,D)) = L with given tolerance.
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virtual |
This is Integral(X0,X,F(X,D)) - L.
Implements math_FunctionWithDerivative.
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virtual |
Computes the value <F> and the derivative <D> of the function for the variable <X>. Returns True if the calculation were successfully done, False otherwise.
Implements math_FunctionWithDerivative.