Slice \(\llbracket x\rrbracket(\cdot)\) of a one dimensional tube and made of an envelope and two gates. More...

#include <codac_Slice.h>

Inheritance diagram for codac::Slice:

Collaboration diagram for codac::Slice:

[legend]

Public Member Functions
Definition
	Slice (const Interval &tdomain, const Interval &codomain=Interval::ALL_REALS)
	Creates a slice \(\llbracket x\rrbracket\).

	Slice (const Slice &x)
	Creates a copy of the slice \(\llbracket x\rrbracket\).

	~Slice ()
	Slice destructor.

int	size () const
	Returns the dimension of the slice (always 1)

const Slice &	operator= (const Slice &x)
	Returns a copy of a Slice.

const Interval	tdomain () const
	Returns the temporal definition domain of this slice.

Slices structure
Slice *	prev_slice ()
	Points to the previous slice \(\llbracket x\rrbracket(k-1)\).

const Slice *	prev_slice () const
	Points to the previous slice \(\llbracket x\rrbracket(k-1)\).

Slice *	next_slice ()
	Points to the next slice \(\llbracket x\rrbracket(k+1)\).

const Slice *	next_slice () const
	Points to the next slice \(\llbracket x\rrbracket(k+1)\).

const Interval	input_gate () const
	Returns the value of the input gate \(\llbracket x\rrbracket(t_0)\) of this slice.

const Interval	output_gate () const
	Returns the value of the output gate \(\llbracket x\rrbracket(t_f)\) of this slice.

const ConvexPolygon	polygon (const Slice &v) const
	Computes a convex polygon that optimally encloses the values of the slice according to the knowledge of the derivative slice \(\llbracket v\rrbracket\).

Tests
bool	operator== (const Slice &x) const
	Returns true if this slice is equal to \(\llbracket x\rrbracket(\cdot)\).

bool	operator!= (const Slice &x) const
	Returns true if this slice is different from \(\llbracket x\rrbracket(\cdot)\).

bool	is_subset (const Slice &x) const
	Returns true if this slice is a subset of \(\llbracket x\rrbracket(\cdot)\).

bool	is_strict_subset (const Slice &x) const
	Returns true if this slice is a subset of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

bool	is_interior_subset (const Slice &x) const
	Returns true if this slice is a subset of the interior of \(\llbracket x\rrbracket(\cdot)\).

bool	is_strict_interior_subset (const Slice &x) const
	Returns true if this slice is a subset of the interior of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

bool	is_superset (const Slice &x) const
	Returns true if this slice is a superset of \(\llbracket x\rrbracket(\cdot)\).

bool	is_strict_superset (const Slice &x) const
	Returns true if this slice is a superset of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

bool	is_empty () const
	Returns true if this slice is empty.

const BoolInterval	contains (const Trajectory &x) const
	Returns true if this slice contains the trajectory \(x(\cdot)\).

Setting values
void	set (const Interval &y)
	Sets a constant interval value for this slice: \(\forall t, \llbracket x\rrbracket(t)=[y]\).

void	set_empty ()
	Sets this slice to the empty set.

void	set_envelope (const Interval &envelope, bool slice_consistency=true)
	Sets the interval value of the envelope of this slice.

void	set_input_gate (const Interval &input_gate, bool slice_consistency=true)
	Sets the interval value of the input gate of this slice.

void	set_output_gate (const Interval &output_gate, bool slice_consistency=true)
	Sets the interval value of the output gate of this slice.

const Slice &	inflate (double rad)
	Inflates this slice by adding \([-rad,+rad]\) to all its codomain components.

Assignments operators
Slice &	operator+= (double x)
	Operates +=.

Slice &	operator+= (const Trajectory &x)
	Operates +=.

Slice &	operator+= (const Slice &x)
	Operates +=.

Slice &	operator-= (double x)
	Operates -=.

Slice &	operator-= (const Trajectory &x)
	Operates -=.

Slice &	operator-= (const Slice &x)
	Operates -=.

Slice &	operator*= (double x)
	Operates *=.

Slice &	operator*= (const Trajectory &x)
	Operates *=.

Slice &	operator*= (const Slice &x)
	Operates *=.

Slice &	operator/= (double x)
	Operates /=.

Slice &	operator/= (const Trajectory &x)
	Operates /=.

Slice &	operator/= (const Slice &x)
	Operates /=.

Slice &	operator\|= (double x)
	Operates \|=.

Slice &	operator\|= (const Trajectory &x)
	Operates \|=.

Slice &	operator\|= (const Slice &x)
	Operates \|=.

Slice &	operator&= (double x)
	Operates &=.

Slice &	operator&= (const Trajectory &x)
	Operates &=.

Slice &	operator&= (const Slice &x)
	Operates &=.

Public Member Functions inherited from codac::DynamicalItem
virtual	~DynamicalItem ()
	DynamicalItem destructor.

Protected Member Functions
void	set_tdomain (const Interval &tdomain)
	Specifies the temporal domain \([t_0,t_f]\) of this slice.

void	shift_tdomain (double a)
	Shifts the tdomain \([t_0,t_f]\) of \(\llbracket x\rrbracket(\cdot)\).

const IntervalVector	codomain_box () const
	Returns the box \(\llbracket x\rrbracket([t_0,t_f])\).

Static Protected Member Functions
static void	chain_slices (Slice first_slice, Slice second_slice)
	Chains the two slices so that they share pointers and a common gate.

static void	merge_slices (Slice first_slice, Slice &second_slice)
	Merges the two slices to keep only one.

Protected Attributes
Interval	m_tdomain
	temporal domain \([t_0,t_f]\) of the slice

Interval	m_codomain = Interval::ALL_REALS
	envelope of the slice

Interval *	m_output_gate = nullptr
	input and output gates

Slice *	m_next_slice = nullptr
	pointers to previous and next slices of the related tube

TubeTreeSynthesis *	m_synthesis_reference = nullptr
	pointer to a leaf of the optional synthesis tree of the related tube

String
const std::string	class_name () const
	Returns the name of this class.

Accessing values
const Interval	codomain () const
	Returns the envelope of the slice.

const IntervalVector	box () const
	Computes the two-dimensional box \([t_0,t_f]\times\llbracket x\rrbracket([t_0,t_f])\).

double	diam () const
	Returns the diameter of this slice.

double	volume () const
	Returns the volume of this slice.

const Interval	operator() (double t) const
	Returns the evaluation of this slice at \(t\).

const Interval	operator() (const Interval &t) const
	Returns the interval evaluation of this slice over \([t]\).

const std::pair< Interval, Interval >	eval (const Interval &t=Interval::ALL_REALS) const
	Returns the interval evaluations of the bounds of the slice over \([t]\).

const Interval	interpol (double t, const Slice &v) const
	Returns the optimal evaluation of this slice at \(t\), based on the derivative information \(\dot{x}(\cdot)\).

const Interval	interpol (const Interval &t, const Slice &v) const
	Returns the optimal evaluation of this slice over \([t]\), based on the derivative information \(\dot{x}(\cdot)\).

const Interval	invert (const Interval &y, const Interval &search_tdomain=Interval::ALL_REALS) const
	Returns the interval inversion \(\llbracket x\rrbracket^{-1}([y])\).

const Interval	invert (const Interval &y, const Slice &v, const Interval &search_tdomain=Interval::ALL_REALS) const
	Returns the optimal interval inversion \(\llbracket x\rrbracket^{-1}([y])\).

static double	diam (const Interval &interval)
	Returns the diameter of an interval (IBEX overload)

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.

Detailed Description

Slice \(\llbracket x\rrbracket(\cdot)\) of a one dimensional tube and made of an envelope and two gates.

Constructor & Destructor Documentation

◆ Slice() [1/2]

codac::Slice::Slice	(	const Interval &	tdomain,
		const Interval &	codomain = Interval::ALL_REALS )

explicit

Creates a slice \(\llbracket x\rrbracket\).

Parameters

tdomain	Interval temporal domain \([t^k_0,t^k_f]\)
codomain	Interval value of the slice (all reals \([-\infty,\infty]\) by default)

◆ Slice() [2/2]

codac::Slice::Slice ( const Slice & x )

Creates a copy of the slice \(\llbracket x\rrbracket\).

Parameters

x	Slice to be duplicated

Member Function Documentation

◆ size()

int codac::Slice::size ( ) const

virtual

Returns the dimension of the slice (always 1)

Returns: 1

Implements codac::DynamicalItem.

◆ operator=()

const Slice & codac::Slice::operator= ( const Slice & x )

Returns a copy of a Slice.

Parameters

x	the Slice object to be copied

Returns: a new Slice object with same tdomain and codomain

◆ tdomain()

const Interval codac::Slice::tdomain ( ) const

virtual

Returns the temporal definition domain of this slice.

Returns: an Interval object \([t_0,t_f]\)

Implements codac::DynamicalItem.

◆ prev_slice() [1/2]

Slice * codac::Slice::prev_slice ( )

Points to the previous slice \(\llbracket x\rrbracket(k-1)\).

Returns: a pointer to a Slice object, or nullptr is this slice is the first one

◆ prev_slice() [2/2]

const Slice * codac::Slice::prev_slice ( ) const

Points to the previous slice \(\llbracket x\rrbracket(k-1)\).

Returns: a const pointer to a Slice object, or nullptr is this slice is the first one

◆ next_slice() [1/2]

Slice * codac::Slice::next_slice ( )

Points to the next slice \(\llbracket x\rrbracket(k+1)\).

Returns: a pointer to a Slice object, or nullptr is this slice is the last one

◆ next_slice() [2/2]

const Slice * codac::Slice::next_slice ( ) const

Points to the next slice \(\llbracket x\rrbracket(k+1)\).

Returns: a const pointer to a Slice object, or nullptr is this slice is the last one

◆ input_gate()

const Interval codac::Slice::input_gate ( ) const

Returns the value of the input gate \(\llbracket x\rrbracket(t_0)\) of this slice.

Returns: the interval input gate

◆ output_gate()

const Interval codac::Slice::output_gate ( ) const

Returns the value of the output gate \(\llbracket x\rrbracket(t_f)\) of this slice.

Returns: the interval output gate

◆ polygon()

const ConvexPolygon codac::Slice::polygon ( const Slice & v ) const

Computes a convex polygon that optimally encloses the values of the slice according to the knowledge of the derivative slice \(\llbracket v\rrbracket\).

Todo: Store the polygon in cache memory?

Parameters

v	the derivative slice

Returns: a ConvexPolygon object

◆ codomain()

const Interval codac::Slice::codomain ( ) const

Returns the envelope of the slice.

Returns: the Interval object \(\llbracket x\rrbracket([t_0,t_f])\)

◆ box()

const IntervalVector codac::Slice::box ( ) const

Computes the two-dimensional box \([t_0,t_f]\times\llbracket x\rrbracket([t_0,t_f])\).

Returns: the slice box

◆ diam() [1/2]

static double codac::Slice::diam ( const Interval & interval )

static

Returns the diameter of an interval (IBEX overload)

Note: returns POS_INFINITY if the interval is unbounded; returns 0 if the interval is empty

Todo: move this elsewhere

Parameters

interval set to be evaluated

Returns: the diameter

◆ diam() [2/2]

double codac::Slice::diam ( ) const

Returns the diameter of this slice.

Note: returns POS_INFINITY if the codomain is unbounded; returns 0 if the slice is empty

Returns: the diameter

◆ volume()

double codac::Slice::volume ( ) const

Returns the volume of this slice.

Note: returns POS_INFINITY if the codomain is unbounded; returns 0 if the slice is flat (and so without wrapping effect)

Returns: volume defined as \(w([t_0,t_f])\times w(\llbracket x\rrbracket([t_0,t_f]))\)

◆ operator()() [1/2]

const Interval codac::Slice::operator() ( double t ) const

Returns the evaluation of this slice at \(t\).

Note: The returned value is either the input gate, the envelope or the output gate

Parameters

t	the temporal key (double, must belong to the Slice's tdomain)

Returns: Interval value of \(\llbracket x\rrbracket(t)\)

◆ operator()() [2/2]

const Interval codac::Slice::operator() ( const Interval & t ) const

Returns the interval evaluation of this slice over \([t]\).

Parameters

t	the temporal domain (Interval, must be a subset of the Slice's tdomain)

Returns: Interval envelope \(\llbracket x\rrbracket([t])\)

◆ eval()

const std::pair< Interval, Interval > codac::Slice::eval ( const Interval & t = Interval::ALL_REALS ) const

Returns the interval evaluations of the bounds of the slice over \([t]\).

Note: It includes the lower and upper bounds of the gates

Parameters

t	the temporal domain (Interval, must be a subset of the Slice's tdomain)

Returns: the pair \(\big(\llbracket\underline{x^-}\rrbracket([t]),\llbracket\overline{x^+}\rrbracket([t])\big)\)

◆ interpol() [1/2]

const Interval codac::Slice::interpol	(	double	t,
		const Slice &	v ) const

Returns the optimal evaluation of this slice at \(t\), based on the derivative information \(\dot{x}(\cdot)\).

Todo: Change the name of this method?

Parameters

t	the temporal key (double, must belong to the Slice's tdomain)
v	the derivative slice such that \(\dot{x}(\cdot)\in\llbracket v\rrbracket(\cdot)\)

Returns: Interval value of \(\llbracket x\rrbracket(t)\)

◆ interpol() [2/2]

const Interval codac::Slice::interpol	(	const Interval &	t,
		const Slice &	v ) const

Returns the optimal evaluation of this slice over \([t]\), based on the derivative information \(\dot{x}(\cdot)\).

Todo: Change the name of this method?

Parameters

t	the temporal domain (Interval, must be a subset of the Slice's tdomain)
v	the derivative slice such that \(\dot{x}(\cdot)\in\llbracket v\rrbracket(\cdot)\)

Returns: Interval value of \(\llbracket x\rrbracket([t])\)

◆ invert() [1/2]

const Interval codac::Slice::invert	(	const Interval &	y,
		const Interval &	search_tdomain = Interval::ALL_REALS ) const

Returns the interval inversion \(\llbracket x\rrbracket^{-1}([y])\).

Parameters

y	the interval codomain
search_tdomain	the optional interval tdomain on which the inversion will be performed

Returns: the hull of \(\llbracket x\rrbracket^{-1}([y])\)

◆ invert() [2/2]

const Interval codac::Slice::invert	(	const Interval &	y,
		const Slice &	v,
		const Interval &	search_tdomain = Interval::ALL_REALS ) const

Returns the optimal interval inversion \(\llbracket x\rrbracket^{-1}([y])\).

Note: The knowledge of the derivative slice \(\llbracket v\rrbracket(\cdot)\) allows a finer inversion

Parameters

y	the interval codomain
v	the derivative slice such that \(\dot{x}(\cdot)\in\llbracket v\rrbracket(\cdot)\)
search_tdomain	the optional interval tdomain on which the inversion will be performed

Returns: the hull of \(\llbracket x\rrbracket^{-1}([y])\)

◆ operator==()

bool codac::Slice::operator== ( const Slice & x ) const

Returns true if this slice is equal to \(\llbracket x\rrbracket(\cdot)\).

Note: Equality is obtained if the slices share the same gates, codomain and tdomain

Parameters

x	the Slice object

Returns: true in case of equality

◆ operator!=()

bool codac::Slice::operator!= ( const Slice & x ) const

Returns true if this slice is different from \(\llbracket x\rrbracket(\cdot)\).

Note: The two slices are different if they do not share the same gates, codomain or tdomain

Parameters

x	the Slice object

Returns: true in case of difference

◆ is_subset()

bool codac::Slice::is_subset ( const Slice & x ) const

Returns true if this slice is a subset of \(\llbracket x\rrbracket(\cdot)\).

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of subset

◆ is_strict_subset()

bool codac::Slice::is_strict_subset ( const Slice & x ) const

Returns true if this slice is a subset of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of strict subset

◆ is_interior_subset()

bool codac::Slice::is_interior_subset ( const Slice & x ) const

Returns true if this slice is a subset of the interior of \(\llbracket x\rrbracket(\cdot)\).

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of interior subset

◆ is_strict_interior_subset()

bool codac::Slice::is_strict_interior_subset ( const Slice & x ) const

Returns true if this slice is a subset of the interior of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of strict interior subset

◆ is_superset()

bool codac::Slice::is_superset ( const Slice & x ) const

Returns true if this slice is a superset of \(\llbracket x\rrbracket(\cdot)\).

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of superset

◆ is_strict_superset()

bool codac::Slice::is_strict_superset ( const Slice & x ) const

Returns true if this slice is a superset of \(\llbracket x\rrbracket(\cdot)\), and not \(\llbracket x\rrbracket(\cdot)\) itself.

Note: The two slices must have the same tdomain

Parameters

x	the Slice object

Returns: true in case of strict superset

◆ is_empty()

bool codac::Slice::is_empty ( ) const

Returns true if this slice is empty.

Note: If the input gate, the envelope or the output gate is empty, then the slice is considered empty

Returns: true in case of emptiness

◆ contains()

const BoolInterval codac::Slice::contains ( const Trajectory & x ) const

Returns true if this slice contains the trajectory \(x(\cdot)\).

Note: Due to the reliable numerical representation of a trajectory, some wrapping effect may appear for its evaluations (either if it is defined by a map of values or an analytic function). Hence, this "contains" test may not be able to conclude, if the thin envelope of \(x(\cdot)\) overlaps a boundary of the slice.; The tdomain of this slice must be a subset of the tdomain of \(x(\cdot)\)

Parameters

x	the trajectory that might be crossing this slice

Returns: BoolInterval::YES (or BoolInterval::NO) if this slice contains \(x(\cdot)\) (or does not contain) and BoolInterval::MAYBE in case of ambiguity

◆ set()

void codac::Slice::set ( const Interval & y )

Sets a constant interval value for this slice: \(\forall t, \llbracket x\rrbracket(t)=[y]\).

Note: The gates and the envelope will be set to \([y]\)

Parameters

y	Interval value of the slice

◆ set_empty()

void codac::Slice::set_empty ( )

Sets this slice to the empty set.

Note: The tdomain will not be affected

◆ set_envelope()

void codac::Slice::set_envelope	(	const Interval &	envelope,
		bool	slice_consistency = true )

Sets the interval value of the envelope of this slice.

Note: The gates may be contracted if the new envelope is not their superset and if the boolean parameter is set to true

Parameters

envelope	Interval value of the envelope
slice_consistency	if 'true', the value of the gates may be affected

◆ set_input_gate()

void codac::Slice::set_input_gate	(	const Interval &	input_gate,
		bool	slice_consistency = true )

Sets the interval value of the input gate of this slice.

Note: The value to be set will be intersected by the envelopes of the related slices if the boolean parameter is set to true; The envelopes of the related slices will not be affected

Parameters

input_gate	Interval value of the input gate
slice_consistency	if 'true', the value of the gate will be computed according to the connected slices

◆ set_output_gate()

void codac::Slice::set_output_gate	(	const Interval &	output_gate,
		bool	slice_consistency = true )

Sets the interval value of the output gate of this slice.

Note: The value to be set will be intersected by the envelopes of the related slices if the boolean parameter is set to true; The envelopes of the related slices will not be affected

Parameters

output_gate	Interval value of the output gate
slice_consistency	if 'true', the value of the gate will be computed according to the connected slices

◆ inflate()

const Slice & codac::Slice::inflate ( double rad )

Inflates this slice by adding \([-rad,+rad]\) to all its codomain components.

Note: The envelope and the gates will be inflated

Parameters

rad	half of the inflation

Returns: *this

◆ operator+=() [1/3]

Slice & codac::Slice::operator+= ( double x )

Operates +=.

Parameters

x double

Returns: (*this)+=x

◆ operator+=() [2/3]

Slice & codac::Slice::operator+= ( const Trajectory & x )

Operates +=.

Parameters

x	Trajectory

Returns: (*this)+=x

◆ operator+=() [3/3]

Slice & codac::Slice::operator+= ( const Slice & x )

Operates +=.

Parameters

x Slice

Returns: (*this)+=x

◆ operator-=() [1/3]

Slice & codac::Slice::operator-= ( double x )

Operates -=.

Parameters

x double

Returns: (*this)-=x

◆ operator-=() [2/3]

Slice & codac::Slice::operator-= ( const Trajectory & x )

Operates -=.

Parameters

x	Trajectory

Returns: (*this)-=x

◆ operator-=() [3/3]

Slice & codac::Slice::operator-= ( const Slice & x )

Operates -=.

Parameters

x Slice

Returns: (*this)-=x

◆ operator*=() [1/3]

Slice & codac::Slice::operator*= ( double x )

Operates *=.

Parameters

x double

Returns: (this)=x

◆ operator*=() [2/3]

Slice & codac::Slice::operator*= ( const Trajectory & x )

Operates *=.

Parameters

x	Trajectory

Returns: (this)=x

◆ operator*=() [3/3]

Slice & codac::Slice::operator*= ( const Slice & x )

Operates *=.

Parameters

x Slice

Returns: (this)=x

◆ operator/=() [1/3]

Slice & codac::Slice::operator/= ( double x )

Operates /=.

Parameters

x double

Returns: (*this)/=x

◆ operator/=() [2/3]

Slice & codac::Slice::operator/= ( const Trajectory & x )

Operates /=.

Parameters

x	Trajectory

Returns: (*this)/=x

◆ operator/=() [3/3]

Slice & codac::Slice::operator/= ( const Slice & x )

Operates /=.

Parameters

x Slice

Returns: (*this)/=x

◆ operator|=() [1/3]

Slice & codac::Slice::operator|= ( double x )

Operates |=.

Parameters

x double

Returns: (*this)|=x

◆ operator|=() [2/3]

Slice & codac::Slice::operator|= ( const Trajectory & x )

Operates |=.

Parameters

x	Trajectory

Returns: (*this)|=x

◆ operator|=() [3/3]

Slice & codac::Slice::operator|= ( const Slice & x )

Operates |=.

Parameters

x Slice

Returns: (*this)|=x

◆ operator&=() [1/3]

Slice & codac::Slice::operator&= ( double x )

Operates &=.

Parameters

x double

Returns: (*this)&=x

◆ operator&=() [2/3]

Slice & codac::Slice::operator&= ( const Trajectory & x )

Operates &=.

Parameters

x	Trajectory

Returns: (*this)&=x

◆ operator&=() [3/3]

Slice & codac::Slice::operator&= ( const Slice & x )

Operates &=.

Parameters

x Slice

Returns: (*this)&=x

◆ class_name()

const std::string codac::Slice::class_name ( ) const

inlinevirtual

Returns the name of this class.

Note: Only used for some generic display method

Returns: the predefined name

Implements codac::DynamicalItem.

605{ return "Slice"; };

◆ set_tdomain()

void codac::Slice::set_tdomain ( const Interval & tdomain )

protected

Specifies the temporal domain \([t_0,t_f]\) of this slice.

Note: Method necessary for Tube::sample()

Parameters

tdomain the new temporal domain to be set

◆ shift_tdomain()

void codac::Slice::shift_tdomain ( double a )

protected

Shifts the tdomain \([t_0,t_f]\) of \(\llbracket x\rrbracket(\cdot)\).

Parameters

a	the offset value so that \([t^k_0,t^k_f]:=[t^k_0+a,t^k_f+a]\)

◆ chain_slices()

static void codac::Slice::chain_slices	(	Slice *	first_slice,
		Slice *	second_slice )

staticprotected

Chains the two slices so that they share pointers and a common gate.

Note: Links to other slices will be lost

Parameters

first_slice	a pointer to the first Slice object
second_slice	a pointer to the second Slice object

Returns: void

◆ merge_slices()

static void codac::Slice::merge_slices	(	Slice *	first_slice,
		Slice *&	second_slice )

staticprotected

Merges the two slices to keep only one.

Note: One slice object and gate will be removed during the operation.

Parameters

first_slice	a pointer to the first Slice object
second_slice	a pointer to the second Slice object

Returns: void

◆ codomain_box()

const IntervalVector codac::Slice::codomain_box ( ) const

protectedvirtual

Returns the box \(\llbracket x\rrbracket([t_0,t_f])\).

Note: Used for genericity purposes

Returns: the envelope of codomain values

Implements codac::DynamicalItem.

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

/home/simon/codac/src/core/domains/slice/codac_Slice.h

Public Member Functions

Protected Member Functions

Static Protected Member Functions

Protected Attributes

String

Accessing values

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Slice() [1/2]

◆ Slice() [2/2]

Member Function Documentation

◆ size()

◆ operator=()

◆ tdomain()

◆ prev_slice() [1/2]

◆ prev_slice() [2/2]

◆ next_slice() [1/2]

◆ next_slice() [2/2]

◆ input_gate()

◆ output_gate()

◆ polygon()

◆ codomain()

◆ box()

◆ diam() [1/2]

◆ diam() [2/2]

◆ volume()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ eval()

◆ interpol() [1/2]

◆ interpol() [2/2]

◆ invert() [1/2]

◆ invert() [2/2]

◆ operator==()

◆ operator!=()

◆ is_subset()

◆ is_strict_subset()

◆ is_interior_subset()

◆ is_strict_interior_subset()

◆ is_superset()

◆ is_strict_superset()

◆ is_empty()

◆ contains()

◆ set()

◆ set_empty()

◆ set_envelope()

◆ set_input_gate()

◆ set_output_gate()

◆ inflate()

◆ operator+=() [1/3]

◆ operator+=() [2/3]

◆ operator+=() [3/3]

◆ operator-=() [1/3]

◆ operator-=() [2/3]

◆ operator-=() [3/3]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator/=() [1/3]

◆ operator/=() [2/3]

◆ operator/=() [3/3]

◆ operator|=() [1/3]

◆ operator|=() [2/3]

◆ operator|=() [3/3]

◆ operator&=() [1/3]

◆ operator&=() [2/3]

◆ operator&=() [3/3]

◆ class_name()

◆ set_tdomain()

◆ shift_tdomain()

◆ chain_slices()

◆ merge_slices()

◆ codomain_box()