bdm::diffbifn Class Reference

Class representing a differentiable function of two variables $f(x,u)$ . More...

Detailed Description

Class representing a differentiable function of two variables $f(x,u)$ .

Function of two variables.

TODO: 1) Technically, it could have a common parent (e.g. fnc ) with other functions. For now, we keep it as it is. 2) It could be generalized into multivariate form, (which was original meaning of fnc ).

#include <functions.h>

List of all members.

Public Member Functions
vec	eval (const vec &cond)
	Evaluates (VS: Do we really need common eval? ).
virtual vec	eval (const vec &x0, const vec &u0)
	Evaluates .
virtual void	dfdx_cond (const vec &x0, const vec &u0, mat &A, bool full=true)
	Evaluates $A=\frac{d}{dx}f(x,u)\|_{x0,u0}$ and writes result into `A` .
virtual void	dfdu_cond (const vec &x0, const vec &u0, mat &A, bool full=true)
	Evaluates $A=\frac{d}{du}f(x,u)\|_{x0,u0}$ and writes result into `A` .
	diffbifn ()
	Default constructor (dimy is not set!).
int	_dimx () const
	access function
int	_dimu () const
	access function
virtual void	condition (const vec &val)
	function substitutes given value into an appropriate position
int	dimension () const
	access function
virtual string	to_string ()
	This method returns a basic info about the current instance.
virtual void	from_setting (const Setting &set)
	This method arrange instance properties according the data stored in the Setting structure.
virtual void	to_setting (Setting &set) const
	This method save all the instance properties into the Setting structure.
virtual void	validate ()
	This method TODO.
Protected Attributes
RV	rvx
	Indentifier of the first rv.
RV	rvu
	Indentifier of the second rv.
int	dimx
	cache for rvx.count()
int	dimu
	cache for rvu.count()
int	dimy
	Length of the output vector.

Member Function Documentation

virtual void bdm::diffbifn::dfdu_cond	(	const vec &	x0,
		const vec &	u0,
		mat &	A,
		bool	full = `true`
	)			`[inline, virtual]`

Evaluates $A=\frac{d}{du}f(x,u)|_{x0,u0}$ and writes result into A .

Parameters:

	full	denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed.
	x0	numeric value of ,
	u0	numeric value of
	A	a place where the result will be stored.

Reimplemented in bdm::bilinfn.

virtual void bdm::diffbifn::dfdx_cond	(	const vec &	x0,
		const vec &	u0,
		mat &	A,
		bool	full = `true`
	)			`[inline, virtual]`

Evaluates $A=\frac{d}{dx}f(x,u)|_{x0,u0}$ and writes result into A .

Parameters:

	full	denotes that even unchanged entries are to be rewritten. When, false only the changed elements are computed.
	x0	numeric value of ,
	u0	numeric value of
	A	a place where the result will be stored.

Reimplemented in bdm::bilinfn.

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

functions.h

bdm::diffbifn Class Reference

Detailed Description

Public Member Functions

Protected Attributes

Member Function Documentation