Basis

class Basis(*args)

Basis.

Available constructors:

Basis(functionsColl)

Basis(size)

Parameters

functionsColllist of Function

Functions constituting the Basis.

sizeint

Size of the Basis.

Examples

>>> import openturns as ot
>>> dimension = 3
>>> input = ['x0', 'x1', 'x2']
>>> functions = []
>>> for i in range(dimension):
...     functions.append(ot.SymbolicFunction(input, [input[i]]))
>>> basis = ot.Basis(functions)

Methods

build(self, index)	Build the element of the given index.
getClassName(self)	Accessor to the object’s name.
getDimension(self)	Get the dimension of the Basis.
getId(self)	Accessor to the object’s id.
getImplementation(self)	Accessor to the underlying implementation.
getName(self)	Accessor to the object’s name.
getSize(self)	Get the size of the Basis.
getSubBasis(self, indices)	Get a sub-basis of the Basis.
isFinite(self)	Tell whether the basis is finite.
isOrthogonal(self)	Tell whether the basis is orthogonal.
setName(self, name)	Accessor to the object’s name.

add

__init__(self, \*args)

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

build(self, index)

Build the element of the given index.

Parameters

indexint,

Index of an element of the Basis.

Returns

functionFunction

The function at the index index of the Basis.

Examples

>>> import openturns as ot
>>> dimension = 3
>>> input = ['x0', 'x1', 'x2']
>>> functions = []
>>> for i in range(dimension):
...     functions.append(ot.SymbolicFunction(input, [input[i]]))
>>> basis = ot.Basis(functions)
>>> print(basis.build(0).getEvaluation())
[x0,x1,x2]->[x0]

getClassName(self)

Accessor to the object’s name.

Returns

class_namestr

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

getDimension(self)

Get the dimension of the Basis.

Returns

dimensionint

Dimension of the Basis.

getId(self)

Accessor to the object’s id.

Returns

idint

Internal unique identifier.

getImplementation(self)

Accessor to the underlying implementation.

Returns

implImplementation

The implementation class.

getName(self)

Accessor to the object’s name.

Returns

namestr

The name of the object.

getSize(self)

Get the size of the Basis.

Returns

sizeint

Size of the Basis.

getSubBasis(self, indices)

Get a sub-basis of the Basis.

Parameters

indiceslist of int

Indices of the terms of the Basis put in the sub-basis.

Returns

subBasislist of Function

Functions defining a sub-basis.

Examples

>>> import openturns as ot
>>> dimension = 3
>>> input = ['x0', 'x1', 'x2']
>>> functions = []
>>> for i in range(dimension):
...     functions.append(ot.SymbolicFunction(input, [input[i]]))
>>> basis = ot.Basis(functions)
>>> subbasis = basis.getSubBasis([1])
>>> print(subbasis[0].getEvaluation())
[x0,x1,x2]->[x1]

isFinite(self)

Tell whether the basis is finite.

Returns

isFinitebool

True if the basis is finite.

isOrthogonal(self)

Tell whether the basis is orthogonal.

Returns

isOrthogonalbool

True if the basis is orthogonal.

setName(self, name)

Accessor to the object’s name.

Parameters

namestr

The name of the object.