QuadraticBasisFactory

class QuadraticBasisFactory(*args)

Quadratic basis factory.

The quadratic basis is composed of the quadratic terms of the canonical basis:

\{ \psi_k(x) \} = \{ 1, x_1, \hdots, x_n, x_i x_j \forall i,j \in [1,n] \}

Parameters
dimensioninteger

Input dimension of the basis.

See also

BasisFactory, ConstantBasisFactory, LinearBasisFactory

Examples

>>> import openturns as ot
>>> basis = QuadraticBasisFactory(2).build()
>>> f = ot.AggregatedFunction(basis)
>>> x = [2, 3]
>>> print(f(x))
[1,2,3,4,6,9]

Methods

build()

Build the basis.

getClassName()

Accessor to the object’s name.

getId()

Accessor to the object’s id.

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)

Initialize self. See help(type(self)) for accurate signature.

build()

Build the basis.

Returns
basisBasis.
getClassName()

Accessor to the object’s name.

Returns
class_namestr

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

getId()

Accessor to the object’s id.

Returns
idint

Internal unique identifier.

getName()

Accessor to the object’s name.

Returns
namestr

The name of the object.

getShadowedId()

Accessor to the object’s shadowed id.

Returns
idint

Internal unique identifier.

getVisibility()

Accessor to the object’s visibility state.

Returns
visiblebool

Visibility flag.

hasName()

Test if the object is named.

Returns
hasNamebool

True if the name is not empty.

hasVisibleName()

Test if the object has a distinguishable name.

Returns
hasVisibleNamebool

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

setName(name)

Accessor to the object’s name.

Parameters
namestr

The name of the object.

setShadowedId(id)

Accessor to the object’s shadowed id.

Parameters
idint

Internal unique identifier.

setVisibility(visible)

Accessor to the object’s visibility state.

Parameters
visiblebool

Visibility flag.