codac::RandTrajectory Class Reference

One dimensional random trajectory \(x(\cdot)\), used to represent noises. More...

#include <codac_RandTrajectory.h>

Inheritance diagram for codac::RandTrajectory:

Collaboration diagram for codac::RandTrajectory:

Public Member Functions
Definition
	RandTrajectory (const Interval &tdomain, double timestep, const Interval &bounds)
	Creates a scalar trajectory \(x(\cdot)\) made of random values.
Public Member Functions inherited from codac::Trajectory
	Trajectory ()
	Creates an empty scalar trajectory \(x(\cdot)\).
	Trajectory (const Interval &tdomain, const TFunction &f)
	Creates a scalar trajectory \(x(\cdot)\) from an analytic expression.
	Trajectory (const Interval &tdomain, const TFunction &f, double timestep)
	Creates a scalar trajectory \(x(\cdot)\) from an analytic expression, and transforms it as a map of values (sampling procedure)
	Trajectory (const std::map< double, double > &m_map_values)
	Creates a scalar trajectory \(x(\cdot)\) from a map of values.
	Trajectory (const std::list< double > &list_t, const std::list< double > &list_x)
	Creates a scalar trajectory \(x(\cdot)\) from a list of values.
	Trajectory (const Trajectory &traj)
	Creates a copy of a scalar trajectory \(x(\cdot)\).
	~Trajectory ()
	Trajectory destructor.
const Trajectory &	operator= (const Trajectory &x)
	Returns a copy of a Trajectory.
int	size () const
	Returns the dimension of the scalar trajectory (always 1)
const Interval	tdomain () const
	Returns the temporal definition domain of this trajectory.
TrajDefnType	definition_type () const
	Returns the definition type of this trajectory.
const std::map< double, double > &	sampled_map () const
	Returns the map of values, if the object is defined as a map.
const TFunction *	tfunction () const
	Returns the temporal function, if the object is an analytic trajectory.
const Interval	codomain () const
	Returns the interval of feasible values.
double	operator() (double t) const
	Returns the evaluation of this trajectory at \(t\).
const Interval	operator() (const Interval &t) const
	Returns the interval evaluation of this trajectory over \([t]\).
double	first_value () const
	Returns the value \(x(t_0)\).
double	last_value () const
	Returns the value \(x(t_f)\).
bool	not_defined () const
	Tests whether this trajectory is defined or not.
bool	operator== (const Trajectory &x) const
	Returns true if this trajectory is equal to \(x(\cdot)\).
bool	operator!= (const Trajectory &x) const
	Returns true if this trajectory is different from \(x(\cdot)\).
void	set (double y, double t)
	Sets a value \(y\) at \(t\): \(x(t)=y\).
Trajectory &	truncate_tdomain (const Interval &tdomain)
	Truncates the tdomain of \(x(\cdot)\).
Trajectory &	shift_tdomain (double a)
	Shifts the tdomain \([t_0,t_f]\) of \(x(\cdot)\).
bool	constant_timestep (double &h) const
	Returns true if the same amount of time separates each value.
Trajectory &	sample (double timestep)
	Samples the trajectory by adding new points to the map of values.
Trajectory &	sample (const Trajectory &x)
	Samples this trajectory so that it will share the same sampling of \(x(\cdot)\).
Trajectory &	make_continuous ()
	Makes a trajectory continuous by avoiding infinite slopes.
const Trajectory	primitive (double c=0.) const
	Computes an approximative primitive of \(x(\cdot)\).
const Trajectory	primitive (double c, double timestep) const
	Computes an approximative primitive of \(x(\cdot)\) with some time discretization \(\delta\).
const Trajectory	diff () const
	Differentiates this trajectory.
double	finite_diff (double t, double h) const
	Computes the finite difference at \(t\), with an automatic order of accuracy.
const Trajectory &	operator+= (double x)
	Operates +=.
const Trajectory &	operator+= (const Trajectory &x)
	Operates +=.
const Trajectory &	operator-= (double x)
	Operates -=.
const Trajectory &	operator-= (const Trajectory &x)
	Operates -=.
const Trajectory &	operator*= (double x)
	Operates *=.
const Trajectory &	operator*= (const Trajectory &x)
	Operates *=.
const Trajectory &	operator/= (double x)
	Operates /=.
const Trajectory &	operator/= (const Trajectory &x)
	Operates /=.
const std::string	class_name () const
	Returns the name of this class.
Public Member Functions inherited from codac::DynamicalItem
virtual	~DynamicalItem ()
	DynamicalItem destructor.

Additional Inherited Members
Static Public Member Functions inherited from codac::DynamicalItem
static bool	valid_tdomain (const Interval &tdomain)
	Verifies that this interval is a feasible tdomain.
Protected Member Functions inherited from codac::Trajectory
const IntervalVector	codomain_box () const
	Returns the box \(x([t_0,t_f])\).
void	compute_codomain ()
	Computes the envelope of trajectory values.
Protected Attributes inherited from codac::Trajectory
Interval	m_tdomain = Interval::EMPTY_SET
	temporal domain \([t_0,t_f]\) of the trajectory
Interval	m_codomain = Interval::EMPTY_SET
	envelope of the values of the trajectory
TrajDefnType	m_traj_def_type = TrajDefnType::MAP_OF_VALUES
	definition type
TFunction *	m_function = nullptr
	optional pointer to the analytic expression of this trajectory
std::map< double, double >	m_map_values
	optional map of values <t,y>: \(x(t)=y\)

Detailed Description

One dimensional random trajectory \(x(\cdot)\), used to represent noises.

Constructor & Destructor Documentation

RandTrajectory()

codac::RandTrajectory::RandTrajectory	(	const Interval &	tdomain,
		double	timestep,
		const Interval &	bounds )

Creates a scalar trajectory \(x(\cdot)\) made of random values.

Parameters

tdomain	temporal domain \([t_0,t_f]\)
timestep	sampling value \(\delta\) for the temporal discretization (double)
bounds	interval range for random values

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

• /home/simon/codac/src/core/variables/trajectory/codac_RandTrajectory.h