OrthogonalUniVariateFunctionFactory

class OrthogonalUniVariateFunctionFactory(*args)

Base class for orthogonal univariate function factories.

Methods

build(order) Build the n-th order univariate function.
getClassName() Accessor to the object’s name.
getId() Accessor to the object’s id.
getMeasure() Accessor to the associated probability measure.
getName() Accessor to the object’s name.
getShadowedId() Accessor to the object’s shadowed id.
getVisibility() Accessor to the object’s visibility state.
hasName() Test if the object is named.
hasVisibleName() Test if the object has a distinguishable name.
setName(name) Accessor to the object’s name.
setShadowedId(id) Accessor to the object’s shadowed id.
setVisibility(visible) Accessor to the object’s visibility state.
__init__(*args)

x.__init__(…) initializes x; see help(type(x)) for signature

build(order)

Build the n-th order univariate function.

Parameters:

n : int, 0 \leq n

Function order.

Returns:

function : UniVariateFunction

Requested univariate function.

getClassName()

Accessor to the object’s name.

Returns:

class_name : str

The object class name (object.__class__.__name__).

getId()

Accessor to the object’s id.

Returns:

id : int

Internal unique identifier.

getMeasure()

Accessor to the associated probability measure.

Returns:

measure : Distribution

The associated probability measure (according to which the functions are orthogonal).

Notes

Two functions P and Q are orthogonal with respect to the probability measure w(x) \di{x} if and only if their scalar product:

\langle P, Q \rangle = \int_{\alpha}^{\beta} P(x) Q(x) w(x) \di{x}
                     = 0

where \alpha \in \Rset \cup \{-\infty\} and \beta \in \Rset \cup \{+\infty\}.

getName()

Accessor to the object’s name.

Returns:

name : str

The name of the object.

getShadowedId()

Accessor to the object’s shadowed id.

Returns:

id : int

Internal unique identifier.

getVisibility()

Accessor to the object’s visibility state.

Returns:

visible : bool

Visibility flag.

hasName()

Test if the object is named.

Returns:

hasName : bool

True if the name is not empty.

hasVisibleName()

Test if the object has a distinguishable name.

Returns:

hasVisibleName : bool

True if the name is not empty and not the default one.

setName(name)

Accessor to the object’s name.

Parameters:

name : str

The name of the object.

setShadowedId(id)

Accessor to the object’s shadowed id.

Parameters:

id : int

Internal unique identifier.

setVisibility(visible)

Accessor to the object’s visibility state.

Parameters:

visible : bool

Visibility flag.